/* Active split regression packs: consistent spacing and native mathematical layout. */
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.reg-review .reveal .cols{align-items:stretch;gap:30px!important}
.reg-review .reveal .cols>.col{display:flex}
.reg-review .reveal .cols>.col>.card{width:100%}
.reg-review .reveal .card{padding:28px 30px;box-sizing:border-box}
.reg-review .reveal .card>:first-child{margin-top:0!important}
.reg-review .reveal .card>:last-child{margin-bottom:0!important}
.reg-review .reveal .card p{font-size:28px;line-height:1.45;margin:12px 0 0}
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.reg-review .rg-grid>.card{margin:0;min-width:0}
.reg-review #r2 .rg-grid{grid-template-columns:repeat(3,minmax(0,1fr))}
.reg-review .reveal .formula{padding:22px 28px;margin:0;font-size:38px;line-height:1.45;box-sizing:border-box}
.reg-review .reveal .card .formula{padding:18px 20px;margin:14px 0;font-size:32px}
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.reg-review .rg-line-parameters .label{text-transform:none;letter-spacing:.02em}
.reg-review .rg-example-plot{display:block;width:100%;height:420px;object-fit:contain;margin:0;align-self:center}
.reg-review #line .card .formula{font-size:35px}
.reg-review #line-mean-example .takeaway{font-size:27px}
.reg-review #evaluation .static-diagram{height:210px}
.reg-review #r2-baseline .comparison td{padding:15px 22px}
.reg-review #r2-baseline .card p{font-size:26px}
.reg-review #rmse .card p{font-size:27px}
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.reg-review .comparison td{padding:18px 22px;vertical-align:middle}
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.reg-review #normal-derivation .slide-body{gap:20px}
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.reg-review #assumptions .card p{font-size:26px}
.reg-review #assumptions .rg-key{font-size:23px}
/* Handout mathematical panels use the same notation at reading size. */
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@media(max-width:800px){.rg-reading .rg-key,.rg-reading .rg-matrix-layout{grid-template-columns:1fr}.rg-reading .formula{font-size:20px}}
@media(max-width:800px){.rg-reading .rg-line-parameters{grid-template-columns:1fr}}
@media(max-width:1150px){.rg-reading .rg-matrix-layout{grid-template-columns:1fr}}
@media print{.rg-reading .formula{break-inside:avoid}.rg-reading .rg-step{opacity:1}.rg-reading .rg-lab-placeholder{display:none}}

/* Use native inline accents instead of font-dependent combining characters. */
.reg-review .rg-inline-math,.rg-reading .rg-inline-math{display:inline math;white-space:nowrap;font-size:1em}
.reg-review .rg-inline-math[display],.rg-reading .rg-inline-math[display]{margin:0}

/* Concrete simple-regression uniqueness comparison. */
.reg-review .rg-uniqueness-example .card{display:flex;flex-direction:column;gap:14px}
.reg-review .rg-uniqueness-example .card p{font-size:26px;margin:0;min-height:2.9em}
.reg-review .rg-uniqueness-plot{width:100%;height:340px;object-fit:contain;margin:0}
.rg-reading .rg-uniqueness-plot{width:100%;height:auto;margin:12px 0}
.rg-reading .rg-uniqueness-example{display:grid;grid-template-columns:1fr 1fr;margin:24px 0}
@media(max-width:800px){.rg-reading .rg-uniqueness-example{grid-template-columns:1fr}}

.reg-review #r2-reading .rg-score-cases{grid-template-columns:repeat(3,minmax(0,1fr))}
.reg-review #r2-reading .card p{font-size:25px}
.reg-review #r2-reading .slide-body{gap:20px}

/* Intuition for the residual degrees-of-freedom correction. */
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.reg-review .rg-dof-example .card p{font-size:25px}
.reg-review .rg-dof-plot{width:100%;height:270px;object-fit:contain;margin:12px 0}
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@media(max-width:800px){.rg-reading .rg-dof-example{grid-template-columns:1fr}}

/* Merged R-squared definitions and interpretation. */
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.reg-review #r2 .rg-r2-case strong{font-weight:600;color:#45d6c0}

/* Intuitive baseline/model squared-error comparison. */
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.rg-reading .rg-r2-error-plot{display:block;width:100%;max-width:760px;height:auto;margin:24px auto}

.reg-review #rse-to-r2 .card:first-child{display:flex;flex-direction:column}
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.reg-review .rg-unit-values span{color:#a8bacb}
.reg-review #rse-to-r2 .rg-unit-equivalence p{font-size:23px;text-align:center}

/* Balanced metric recap: equal cards and a common mathematical baseline. */
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.reg-review #metrics .rg-metric-grid{display:grid;grid-template-columns:1fr 1fr;gap:22px 26px}
.reg-review #metrics .rg-metric-card{--metric-accent:#45d6c0;display:grid;grid-template-rows:auto 160px auto;gap:12px;padding:20px 28px;border-top:3px solid var(--metric-accent);margin:0;min-width:0}
.reg-review #metrics .rg-metric-card[data-tone=relative]{--metric-accent:#4db8ff}
.reg-review #metrics .rg-metric-card[data-tone=test]{--metric-accent:#c799ff}
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@media(max-width:800px){.rg-reading .rg-metric-grid{grid-template-columns:1fr}}

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.rg-reading .rg-metric-equation{min-height:144px;padding:16px;box-sizing:border-box}

.reg-review #polynomial .rg-linear-parameters .card p{font-size:26px}
.reg-review #polynomial .rg-linear-parameters .formula{font-size:31px;padding:14px 16px;margin:14px 0}
.reg-review .rg-known-value{color:#4db8ff}
.rg-reading .rg-known-value{color:#1e6c9d}

.rg-reading .rg-linear-parameters .formula{font-size:21px;padding:16px 12px}

.reg-review #why-polynomial .slide-body{gap:36px}
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.reg-review .rg-polynomial-bridge-plot{display:block;width:100%;height:440px;object-fit:contain;margin:0 auto}
.rg-reading .rg-polynomial-bridge-plot{display:block;width:100%;height:auto;margin:26px auto}

/* Regression Part 2: paced definitions, visual examples and scoped readable notation. */
.reg-part-two math{text-transform:none;letter-spacing:normal}
.reg-part-two .label{text-transform:none;letter-spacing:.02em}
.reg-review.reg-part-two .p2-three{grid-template-columns:repeat(3,minmax(0,1fr))}
.reg-review.reg-part-two .p2-figure{display:block;width:100%;height:380px;object-fit:contain;margin:0 auto}
.reg-review.reg-part-two .p2-wide-figure{display:block;width:100%;height:330px;object-fit:contain;margin:0 auto}
.reg-review.reg-part-two .p2-ci-figure{display:block;width:100%;height:210px;object-fit:contain;margin:0 auto}
.reg-review.reg-part-two #interval .slide-body{gap:18px}
.reg-review.reg-part-two #interval .card{padding:22px 26px}
.reg-review.reg-part-two #interval .card p{font-size:25px}
.reg-review.reg-part-two #interval .rg-key{font-size:23px;padding:16px 24px}
.reg-review.reg-part-two #standard-error .formula{font-size:34px;padding:18px 24px}
.reg-review.reg-part-two #standard-error .rg-key{font-size:23px}
.reg-review.reg-part-two #multiple .formula{font-size:34px;padding:18px 24px}
.reg-review.reg-part-two #multiple .rg-key{font-size:23px}
.reg-review.reg-part-two #assumptions .rg-key{font-size:22px}
.reg-review.reg-part-two #confounding .static-diagram{height:390px}
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.reg-review.reg-part-two .p2-flow h3{font-size:29px;margin:0 0 16px;line-height:1.2}
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.reg-review.reg-part-two #bias-intuition .card p{font-size:25px}
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.reg-review.reg-part-two .lab-slide .rg-toolbar{gap:10px;row-gap:8px}
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@media(max-width:800px){.rg-reading.reg-part-two .rg-grid,.rg-reading.reg-part-two .p2-flow{grid-template-columns:1fr}}

.reg-review.reg-part-two #bias-intuition .p2-wide-figure{height:380px}
.reg-review.reg-part-two #noise-versus-precision .p2-wide-figure{height:370px}
.reg-review.reg-part-two #multiple-intro .p2-wide-figure{height:420px}

.rg-reading.reg-part-two .rg-grid>.col{display:flex;min-width:0}
.rg-reading.reg-part-two .rg-grid>.col>.card{width:100%}
@media(max-width:800px){.rg-reading.reg-part-two table.comparison{table-layout:fixed;width:100%;overflow-wrap:anywhere}.rg-reading.reg-part-two table.comparison th,.rg-reading.reg-part-two table.comparison td{padding:12px 8px;font-size:.95em}}

/* Slower introduction to the matrix least-squares derivation. */
.reg-review .reveal #normal-equations .slide-body{gap:19px}
.reg-review .reveal #normal-equations .formula{font-size:36px;padding:20px 26px}
.reg-review .reveal #normal-equations .card{padding:21px 26px}
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.reg-review .reveal #residual-vector-example .slide-body{gap:19px}
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.reg-review .reveal .rg-residual-table th,.reg-review .reveal .rg-residual-table td{padding:17px 18px;text-align:center}
.reg-review .reveal .rg-residual-table th{font-size:23px}
.reg-review .reveal .rg-residual-example .card{padding:22px 27px}
.reg-review .reveal .rg-residual-example .formula{font-size:29px;padding:12px;margin:12px 0}
.reg-review .reveal .rg-residual-example .card p{font-size:25px}
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.reg-review .reveal #residual-vector-example .rg-key{font-size:24px;padding:16px 24px}
.reg-review .rg-gradient-intro{display:grid;grid-template-columns:1.35fr 1fr;gap:30px;align-items:center}
.reg-review .rg-gradient-plot{display:block;width:100%;height:auto;margin:0;object-fit:contain}
.reg-review .rg-gradient-comments{display:grid;gap:17px}
.reg-review .reveal .rg-gradient-comments .card{padding:19px 25px}
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.reg-review .reveal #gradient-intuition .slide-body{gap:21px}
.reg-review .reveal #gradient-intuition .takeaway{font-size:25px}
.reg-review .reveal #normal-derivation .slide-body{gap:18px}
.reg-review .reveal .rg-derivation-slow{padding:21px 27px}
.reg-review .reveal .rg-derivation-slow .rg-step-controls{margin-bottom:12px}
.reg-review .reveal .rg-derivation-slow .rg-step{padding:10px 17px;opacity:.58}
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.reg-review .reveal .rg-derivation-slow .rg-step math{font-size:32px}
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.reg-review .rg-degree-flow>div{padding:20px 24px;background:#151e2b;border:1px solid #344058;border-radius:12px;display:flex;flex-direction:column;gap:10px}
.reg-review .rg-degree-flow strong{font-size:25px;color:#45d6c0}
.reg-review .rg-degree-flow span{font-size:24px;line-height:1.4;color:#c0cedd}
.rg-reading .rg-residual-example,.rg-reading .rg-gradient-intro{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-residual-table{width:100%;font-size:16px;border-collapse:collapse}
.rg-reading .rg-residual-table td,.rg-reading .rg-residual-table th{padding:12px 10px;border:1px solid #cad8de;text-align:center}
.rg-reading .rg-gradient-plot{max-width:1000px;margin:0 auto}
.rg-reading .rg-gradient-comments{grid-template-columns:1fr 1fr 1fr}
.rg-reading .rg-degree-flow{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-degree-flow>div{background:#edf5f3;border-color:#cad8de}
.rg-reading .rg-degree-flow strong{font-size:19px;color:#17776d}
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@media(max-width:800px){.rg-reading .rg-gradient-comments{grid-template-columns:1fr}.rg-reading .rg-residual-table{table-layout:fixed;overflow-wrap:anywhere;font-size:14px}.rg-reading .rg-residual-table td,.rg-reading .rg-residual-table th{padding:10px 5px}}

.rg-reading .rg-derivation-slow .rg-step{overflow-x:auto;padding-bottom:12px}

/* Preserve the case of mathematical symbols in the worked residual table. */
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/* The selected last derivation step is the final OLS coefficient formula. */
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.reg-review .reveal .rg-derivation-slow .rg-step-final.active math{color:#ffda96}
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/* Name the inverse factor without enlarging inline formulas in the comment. */
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.rg-reading .rg-derivation-slow .rg-step p math{font-size:1em}

/* Align the two bias/variance formula panels despite different subscript depths. */
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/* Keep the full dataset-dependent definitions readable in the handout. */
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/* Five plain-language metric answers, shared across the lecture break. */
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.reg-review .reveal .rg-metric-code{display:block;font-size:30px;font-weight:650;line-height:1.1;color:#45d6c0}
.reg-review .reveal .rg-metric-fullname{display:block;font-size:20px;line-height:1.35;margin-top:5px;color:#b7c8d8}
.reg-review .reveal .rg-metric-recap .takeaway{font-size:25px;padding:17px 25px}
.rg-reading .rg-metric-recap-table{margin:24px 0;font-size:17px;line-height:1.5}
.rg-reading .rg-metric-recap-table th,.rg-reading .rg-metric-recap-table td{padding:15px 18px;border:1px solid #cad8de;text-align:left;vertical-align:middle;overflow-wrap:anywhere}
.rg-reading .rg-metric-recap-table th{background:#edf5f3;text-transform:none}
.rg-reading .rg-metric-code{display:block;font-size:20px;color:#17776d}
.rg-reading .rg-metric-fullname{display:block;font-size:14px;color:#52697b}
@media(max-width:800px){.rg-reading .rg-metric-recap-table{font-size:15px}.rg-reading .rg-metric-recap-table th,.rg-reading .rg-metric-recap-table td{padding:11px 9px}.rg-reading .rg-metric-fullname{font-size:13px}}

/* Metric recaps: formula column and concise symbol definitions. */
.reg-review .reveal .rg-recap-has-formulas th{padding:10px 20px}
.reg-review .reveal .rg-recap-has-formulas td{padding:10px 20px}
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.reg-review .reveal .rg-recap-has-formulas .rg-metric-code{font-size:29px}
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.rg-reading .rg-recap-formula math{font-size:20px}
@media(max-width:1150px){
 .rg-reading .rg-recap-has-formulas,.rg-reading .rg-recap-has-formulas tbody{display:block}
 .rg-reading .rg-recap-has-formulas colgroup,.rg-reading .rg-recap-has-formulas thead{display:none}
 .rg-reading .rg-recap-has-formulas tr{display:block;margin-bottom:20px;border:1px solid #cad8de;border-radius:10px;overflow:hidden}
 .rg-reading .rg-recap-has-formulas td{display:block;width:100%;border:0;padding:12px 16px}
 .rg-reading .rg-recap-has-formulas .rg-recap-formula{background:#edf5f3}
 .rg-reading .rg-recap-has-formulas td:last-child{border-top:1px solid #cad8de}
}
@media print{.rg-reading .rg-recap-has-formulas tr{break-inside:avoid}}

/* New-observation terminology and a visual model-selection sequence. */
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.reg-review .reveal #decomposition .slide-body{gap:17px}
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.reg-review .reveal #decomposition .rg-key{font-size:23px;padding:15px 25px}
.reg-review .reveal #decomposition .formula{padding:18px 24px}
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.reg-review .reveal #bias-lab .rg-bias-reminder{font-size:24px;line-height:1.4;padding:14px 24px}
.reg-review .rg-selection-flow{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:32px}
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.reg-review .rg-selection-stage[data-stage=validate]{border-top-color:#c792ea}
.reg-review .rg-selection-stage[data-stage=test]{border-top-color:#4db8ff}
.reg-review .reveal .rg-selection-stage{padding:25px}
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.reg-review .rg-selection-graphic path{fill:none;stroke-width:3}
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.reg-review .rg-selection-graphic text{fill:currentColor;font:19px 'Segoe UI',sans-serif}
.reg-review .rg-selection-legend{display:flex;justify-content:center;gap:24px;font-size:21px;margin-top:-10px}
.reg-review .rg-selection-legend span:first-child{color:#45d6c0}.reg-review .rg-selection-legend span:last-child{color:#c792ea}
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.reg-review .rg-selection-stage:not(:last-child)::after{content:'→';position:absolute;right:-27px;top:49%;color:#a9bdd0;font-size:29px}
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.rg-reading .rg-selection-graphic{height:190px;max-width:440px;margin:auto;color:#294650}
.rg-reading .rg-selection-legend{font-size:17px}
.rg-reading .rg-selection-legend span:first-child{color:#14796b}.rg-reading .rg-selection-legend span:last-child{color:#8553a9}
.rg-reading .rg-test-report{height:150px;background:#edf5f3;color:#294650}
.rg-reading .rg-test-report strong{color:#246d95;font-size:26px}
.rg-reading .rg-selection-stage:not(:last-child)::after{display:none}

.rg-reading .rg-selection-graphic path[stroke="#45d6c0"]{stroke:#17776d}
.rg-reading .rg-selection-graphic rect[fill="#45d6c0"]{fill:#208b7e}

/* Compare scatter within one study with slope variability across studies. */
.reg-review .reveal #hypothesis-test .slide-body{gap:22px}
.reg-review .reveal #hypothesis-test .card p{font-size:27px}
.reg-review .reveal #hypothesis-test .formula{margin:18px 0}
.reg-review .reveal #noise-versus-precision .slide-body{gap:26px}
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.reg-review .rg-precision-pair{gap:30px}
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.reg-review .rg-precision-figure{display:block;width:100%;height:350px;object-fit:contain;margin:0}
.reg-review .reveal .rg-precision-pair .label{font-size:22px;line-height:1.3;text-transform:none;letter-spacing:0}
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.rg-reading .rg-precision-figure{height:auto;max-width:760px;margin:0 auto;border-radius:10px}
.rg-reading .rg-precision-pair .label{font-size:17px;color:#246d95}
.rg-reading .rg-precision-pair p{font-size:17px;margin:0}

/* Accuracy of estimates: concrete interpretation before the calculation. */
.reg-review .reveal #inference-sampling .slide-body,.reg-review .reveal #standard-error .slide-body,.reg-review .reveal #t-statistic .slide-body,.reg-review .reveal #pvalues .slide-body,.reg-review .reveal #interval .slide-body{gap:18px}
.reg-review .reveal #inference-sampling h2,.reg-review .reveal #standard-error h2,.reg-review .reveal #t-statistic h2,.reg-review .reveal #pvalues h2,.reg-review .reveal #interval h2{font-size:45px}
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.reg-review .reveal .rg-standardize-pair .card p{font-size:25px;margin:8px 0 0}
.reg-review .rg-infer-chart{display:block;width:100%;height:190px;object-fit:contain;margin:0}
.reg-review .reveal #inference-sampling .rg-key,.reg-review .reveal #t-statistic .rg-key,.reg-review .reveal #pvalues .rg-key{font-size:23px;padding:15px 24px;line-height:1.4}
.reg-review .reveal #inference-sampling .takeaway,.reg-review .reveal #t-statistic .takeaway,.reg-review .reveal #pvalues .takeaway{font-size:24px;padding:15px 24px}
.reg-review .reveal .rg-se-derivation{padding:18px 25px}
.reg-review .reveal .rg-se-derivation .rg-step{padding:10px 16px;opacity:.7}
.reg-review .reveal .rg-se-derivation .rg-step.active{opacity:1}
.reg-review .reveal .rg-se-derivation .rg-step math{font-size:32px}
.reg-review .reveal .rg-se-derivation .rg-step p{font-size:23px!important;line-height:1.35}
.reg-review .reveal #standard-error .rg-key{font-size:22px;line-height:1.4;padding:15px 24px}
.reg-review .reveal #standard-error .takeaway{font-size:24px;padding:15px 24px}
.reg-review .rg-t-ruler{width:100%;height:130px;object-fit:contain;display:block;margin:0}
.reg-review .reveal #t-statistic .card{padding:20px 25px}
.reg-review .reveal #t-statistic .card p{font-size:25px;line-height:1.4}
.reg-review .rg-pvalue-layout{grid-template-columns:1.1fr 1fr}
.reg-review .reveal .rg-pvalue-layout .card{padding:19px 25px}
.reg-review .rg-pvalue-layout .rg-infer-chart{height:270px;margin-top:12px}
.reg-review .reveal .rg-pvalue-layout .card p{font-size:25px;line-height:1.4;margin:13px 0 0}
.reg-review .reveal #pvalues .formula{font-size:32px;padding:17px 24px}
.reg-review .reveal #tails-lab .lab-prompt,.reg-review .reveal #uncertainty-lab .lab-prompt{font-size:25px;line-height:1.4}
.reg-review .reveal .rg-lab-recap{font-size:24px;line-height:1.4;padding:13px 24px}
.rg-widget math.rg-inline-math{display:inline math;font-family:'Cambria Math','STIX Two Math',serif;font-size:1em;white-space:nowrap;text-transform:none}
.reg-review .rg-ci-layout{grid-template-columns:1.1fr 1fr}
.reg-review .rg-ci-layout .rg-infer-chart{height:210px}
.reg-review .reveal #interval .rg-ci-layout .formula{font-size:30px;margin:12px 0;padding:14px 18px}
.reg-review .reveal #interval .rg-ci-layout .card p{font-size:25px;line-height:1.4}
.reg-review .reveal #interval .rg-key{font-size:22px;line-height:1.4;padding:14px 24px}
.reg-review .reveal #interval .takeaway{font-size:24px;padding:14px 24px}
.rg-reading.reg-part-two .rg-standardize-pair,.rg-reading.reg-part-two .rg-pvalue-layout,.rg-reading.reg-part-two .rg-ci-layout{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-infer-chart,.rg-reading .rg-t-ruler{display:block;width:100%;height:auto;max-width:900px;margin:18px auto;border-radius:9px}
.rg-reading .rg-se-derivation .rg-step p{visibility:visible;height:auto;margin:12px 0!important}
.rg-reading .rg-se-derivation .rg-step math{font-size:22px}

.reg-review .reveal .rg-standardize-pair .formula{height:110px;display:flex;align-items:center;justify-content:center}
.reg-review .reveal #standard-error .slide-body{gap:14px}
.reg-review .reveal .rg-se-derivation .rg-step{padding:8px 14px}
.reg-review .reveal .rg-se-derivation .rg-step math{font-size:30px}
.reg-review .reveal .rg-se-derivation .rg-step-controls{margin-bottom:10px}
.reg-review .rg-t-ruler{height:150px}
.reg-review .rg-pvalue-layout .rg-infer-chart{height:230px}

/* Show one equivalent formula at a time; print all three in the handout. */
.reg-review .reveal .rg-se-derivation .rg-step:not(.active){display:none}
.reg-review .reveal .rg-se-derivation .rg-step.active{display:block;padding:18px 24px}
.reg-review .reveal .rg-se-derivation .rg-step math{font-size:38px}
.reg-review .reveal .rg-se-equation{min-height:210px;display:flex;align-items:center;justify-content:center}
.rg-reading .rg-se-derivation .rg-step{display:block!important}
.rg-reading .rg-se-equation{display:block;min-height:0}

/* Left-to-right reveal with one stable explanatory area. */
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-steps-row{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:18px}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step{display:block;padding:15px 12px;border:1px solid #344058;border-radius:10px;opacity:.38;visibility:visible;min-width:0}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step.active{opacity:1;border-color:#45d6c0;background:rgba(69,214,192,.07)}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step.future{visibility:hidden}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step .rg-heading{display:block;font-size:20px;margin:0 0 10px}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step p{display:none}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-step math{font-size:32px}
.reg-review .reveal #standard-error [data-layout=progressive-row] .rg-se-equation{min-height:215px}
.reg-review .reveal .rg-step-description{font-size:25px;line-height:1.4;min-height:68px;margin:18px 0 0;padding:15px 20px;background:#0e1520;border-left:3px solid #45d6c0;box-sizing:border-box}
.rg-reading .rg-steps-row{display:grid;grid-template-columns:1fr}
.rg-reading .rg-step-description{display:none}
.rg-reading .rg-steps-row .rg-heading{display:block;color:#17776d;font-size:17px}
/* Interactive inference examples share the established regression controls. */
.rg-inference-widget{background:rgba(20,26,38,.88);border:1px solid #344058;border-radius:18px;padding:18px 24px;box-sizing:border-box;color:#e8ecf4}
.rg-inference-widget .rg-toolbar{min-height:48px;gap:10px;row-gap:8px}
.rg-inference-widget .rg-toolbar label,.rg-inference-widget .rg-toolbar select{font-size:20px}
.rg-inference-widget .rg-toolbar select{max-width:225px}
.rg-inference-widget .rg-toolbar button{font-size:20px;min-height:42px;padding:8px 13px}
.rg-inference-widget .rg-toolbar select:disabled{opacity:.4;cursor:default}
.rg-inference-widget .rg-toolbar output{font-size:20px;min-width:70px}
.rg-inference-widget .rg-main{margin-top:12px;gap:20px}
.rg-inference-widget .rg-side{gap:9px;font:23px/1.35 'Segoe UI',sans-serif}
.rg-inference-widget .rg-side .rg-box{padding:11px 15px}
.rg-inference-widget .rg-side .rg-heading{font-size:18px;line-height:1.3;margin-bottom:5px}
.rg-inference-widget .rg-side p{font-size:22px!important;line-height:1.35;margin:0!important}
.rg-inference-widget .rg-metrics{gap:8px}
.rg-inference-widget .rg-side .rg-metric{font-size:31px;line-height:1.35}
.rg-inference-widget .rg-bottom{font-size:19px;line-height:1.35;margin-top:10px;gap:20px}
.rg-inference-widget .rg-bottom span{max-width:58%}
.rg-inference-widget math.rg-inline-math{display:inline math;font-family:'Cambria Math','STIX Two Math',serif;font-size:1em;white-space:nowrap;text-transform:none}
.reg-review .reveal #pvalues .formula{padding:12px 20px;font-size:30px}
.reg-review .reveal #pvalues .rg-key{padding:12px 22px;font-size:22px}
.reg-review .reveal #pvalues .rg-inference-widget .rg-side .rg-box{padding:9px 13px}
.reg-review .reveal #pvalues .rg-inference-widget .rg-side p{font-size:21px!important}
.reg-review .reveal #pvalues .rg-inference-widget .rg-side .rg-heading{font-size:17px}
.reg-review .reveal #pvalues .rg-inference-widget .rg-side .rg-metric{font-size:29px}
.reg-review .reveal #interval .rg-inference-widget .rg-metric{font-size:27px}
.reg-review .reveal #interval .rg-key{font-size:21px;line-height:1.35}
.reg-review .reveal #interval .rg-inference-widget .rg-side p{font-size:21px!important}

.rg-inference-widget .rg-i-fit-top{display:flex;align-items:center;gap:16px;width:100%}
.rg-inference-widget .rg-i-simulation-controls{display:flex;align-items:center;flex-wrap:wrap;gap:14px;border:0;padding:0;margin:0;width:100%;min-width:0}
.rg-inference-widget .rg-i-simulation-controls legend{font:18px/1.3 'Segoe UI',sans-serif;color:#a9bfd1;margin-bottom:6px;padding:0}
.rg-inference-widget select[data-i-setting=fit]{max-width:none;width:285px}
.rg-inference-widget select[data-i-setting=view]{max-width:none;width:270px}

/* Lecture-discussion refinements: purpose, controlled comparison and p-value roles. */
.reg-review .reveal #inference-sampling .rg-standardize-pair .card p{font-size:24px;line-height:1.4}
.reg-review .reveal #inference-sampling .takeaway{font-size:24px}
.reg-review .reveal #standard-error .rg-key{font-size:22px;line-height:1.35}
.reg-review .reveal #standard-error .rg-step-description{font-size:24px;min-height:88px}
.reg-review .reveal #slope-test-purpose .slide-body{gap:28px}
.reg-review .reveal #slope-test-purpose h2,.reg-review .reveal #slope-scatter-comparison h2{font-size:45px}
.reg-review .rg-purpose-steps{grid-template-columns:repeat(3,minmax(0,1fr))}
.reg-review .reveal .rg-purpose-steps .card{padding:25px}
.reg-review .reveal .rg-purpose-steps p{font-size:27px;line-height:1.45}
.reg-review .rg-test-purpose-example{padding:25px 28px;background:#151e2b;border-left:3px solid #45d6c0;border-radius:0 10px 10px 0;font-size:31px;line-height:1.4}
.reg-review .reveal #slope-scatter-comparison .slide-body{gap:20px}
.reg-review .reveal .rg-height-weight-pair .card{padding:20px 24px}
.reg-review .rg-height-weight-plot{display:block;width:100%;height:300px;object-fit:contain;margin:14px 0}
.reg-review .reveal .rg-height-weight-pair .formula{font-size:27px;padding:14px 12px;margin:0}
.reg-review .reveal .rg-height-weight-pair p{font-size:24px;line-height:1.4;margin-top:14px}
.reg-review .reveal #slope-scatter-comparison .takeaway{font-size:24px;padding:16px 24px}
.reg-review .rg-random-stat{color:#4db8ff}.reg-review .rg-observed-stat{color:#ffb86c}
.rg-reading .rg-random-stat{color:#14658e}.rg-reading .rg-observed-stat{color:#915b12}
.reg-review .reveal #pvalues .slide-body{gap:16px}
.reg-review .reveal #pvalues h2{font-size:44px}
.reg-review .reveal #pvalues .rg-intro-lead{font-size:28px}
.reg-review .rg-p-role-row{grid-template-columns:repeat(3,minmax(0,1fr));gap:20px}
.reg-review .reveal .rg-p-role-row .card,.reg-review .reveal .rg-p-zero-row .card{padding:18px 22px}
.reg-review .reveal .rg-p-role-row .label,.reg-review .reveal .rg-p-zero-row .label{font-size:22px;line-height:1.3}
.reg-review .reveal .rg-p-role-row .formula{height:72px;display:flex;align-items:center;justify-content:center;font-size:29px;padding:10px;margin:8px 0}
.reg-review .reveal .rg-p-role-row p,.reg-review .reveal .rg-p-zero-row p{font-size:24px;line-height:1.4;margin:10px 0 0}
.reg-review .reveal .rg-p-zero-row .formula{font-size:28px;padding:10px 12px;margin:8px 0}
.reg-review .reveal #pvalues .takeaway{font-size:24px;padding:15px 24px}
.reg-review .reveal #tails-lab .rg-inference-widget .rg-side p{font-size:22px!important}
.rg-reading.reg-part-two .rg-purpose-steps,.rg-reading.reg-part-two .rg-height-weight-pair,.rg-reading.reg-part-two .rg-p-role-row,.rg-reading.reg-part-two .rg-p-zero-row{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-height-weight-plot{display:block;width:100%;height:auto;max-width:850px;margin:20px auto}
.rg-reading .rg-test-purpose-example{font-size:21px;padding:20px;background:#edf5f3;color:#294650;border-color:#208b7e;margin:24px 0}

/* Part 1 slide 34: recall the optimization goal before the derivative intuition. */
.reg-review .reveal #gradient-intuition .slide-body{gap:14px}
.reg-review .reveal #gradient-intuition .rg-objective-reminder .formula{font-size:32px;padding:15px 24px;margin:0}
.reg-review .reveal #gradient-intuition .rg-objective-reminder>p{font-size:24px;line-height:1.3;margin:9px 0 0;text-align:center}
.reg-review .reveal #gradient-intuition .rg-gradient-plot{height:310px;object-fit:contain}
.reg-review .reveal #gradient-intuition .rg-gradient-comments{gap:12px}
.reg-review .reveal #gradient-intuition .rg-gradient-comments .card{padding:13px 22px}
.reg-review .reveal #gradient-intuition .rg-gradient-comments .card p{font-size:23px;margin-top:6px}
.reg-review .reveal #gradient-intuition .rg-key{font-size:23px;line-height:1.35}
.reg-review .reveal #gradient-intuition h2 .rg-inline-math{font-size:1em}
.rg-reading .rg-objective-reminder>p{text-align:center}

/* A playful correlation-versus-causation bridge before the observed association. */
.reg-review .rg-correlation-grid{grid-template-columns:1.12fr 1fr;gap:30px}
.reg-review .rg-correlation-cartoon{display:block;width:100%;height:395px;object-fit:contain;margin:16px 0 0}
.reg-review .rg-correlation-cause{display:block;width:100%;height:286px;margin:12px 0}
.reg-review .reveal #correlation-not-causation .card .label{font-size:24px;text-transform:none;letter-spacing:.02em}
.reg-review .reveal #correlation-not-causation .card p{font-size:26px;line-height:1.4;margin-top:12px}
.reg-review .reveal #correlation-not-causation .slide-body{gap:22px}
.rg-reading .rg-correlation-grid{grid-template-columns:1fr;margin:24px 0;gap:20px}
.rg-reading .rg-correlation-cartoon{height:auto;max-height:450px;margin:14px auto 0}
.rg-reading .rg-correlation-cause{height:auto;max-height:310px;margin:16px auto}

/* Matching small mean-function plots in the two slope hypotheses. */
.reg-review .rg-hypothesis-plot{display:block;width:100%;height:240px;object-fit:contain;margin:0 auto}
.reg-review .reveal #hypothesis-test .slide-body{gap:18px}
.reg-review .reveal #hypothesis-test .card{padding:22px 28px}
.reg-review .reveal #hypothesis-test .formula{margin:12px 0;padding:14px 20px}
.reg-review .reveal #hypothesis-test .card p{font-size:26px;line-height:1.4;margin-top:12px}
.reg-review .reveal #hypothesis-test .rg-key{font-size:24px;padding:16px 26px}
.rg-reading .rg-hypothesis-plot{height:auto;max-height:260px;margin:16px auto}

/* Introduce the actual height–weight observations before testing their fitted slope. */
.reg-review .rg-height-weight-intro{grid-template-columns:1.2fr 1fr;gap:30px}
.reg-review .rg-height-weight-data-plot{display:block;width:100%;height:440px;object-fit:contain;margin:12px 0 0}
.reg-review .rg-height-weight-table{width:100%;border-collapse:collapse;margin:12px 0;font-size:26px}
.reg-review .rg-height-weight-table th,.reg-review .rg-height-weight-table td{padding:10px 18px;text-align:center;border-bottom:1px solid #344359}
.reg-review .reveal #height-weight-data .card .label{text-transform:none;letter-spacing:.02em;font-size:24px}
.reg-review .reveal #height-weight-data .card p{font-size:26px;line-height:1.4}
.reg-review .reveal #height-weight-data .card .rg-data-example-note{font-size:22px;color:#b5c5d5;margin-top:14px}
.reg-review .reveal #height-weight-data .slide-body{gap:22px}
.rg-reading .rg-height-weight-intro{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-height-weight-data-plot{height:auto;max-height:450px;margin:14px auto}
.rg-reading .rg-height-weight-table{font-size:1em}
.rg-reading .rg-height-weight-table th,.rg-reading .rg-height-weight-table td{border-color:#cbd7e0}

/* Three pictures for the logic of the slope test. */
.reg-review .rg-slope-test-visual-grid{grid-template-columns:repeat(3,minmax(0,1fr));gap:24px}
.reg-review .rg-slope-test-visual-plot{display:block;width:100%;height:345px;object-fit:contain;margin:16px 0}
.reg-review .reveal #slope-test-visual .card{padding:24px 22px}
.reg-review .reveal #slope-test-visual .card .label{font-size:23px;text-transform:none;letter-spacing:0}
.reg-review .reveal #slope-test-visual .card p{font-size:26px;line-height:1.4}
.reg-review .reveal #slope-test-visual .slide-body{gap:24px}
.rg-reading .rg-slope-test-visual-grid{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-slope-test-visual-plot{height:auto;max-height:350px;margin:16px auto}

.reg-review .reveal #slope-test-visual .rg-slope-test-visual-plot{height:300px}
.reg-review .reveal #slope-test-visual .rg-t-test-meaning{padding:18px 26px}
.reg-review .reveal #slope-test-visual .rg-t-test-meaning>p{font-size:26px;line-height:1.35}
.reg-review .reveal #slope-test-visual .rg-t-test-meaning>p:last-child{font-size:22px}
.reg-review .rg-t-signs{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:20px;line-height:1.35}
.rg-reading .rg-t-test-meaning{margin-top:24px}
@media(max-width:650px){.rg-reading .rg-t-signs{grid-template-columns:1fr;gap:12px}}

/* Explicit slope-test decisions, readable without relying on color alone. */
.rg-inference-widget .rg-test-decision{display:block;font:800 34px/1.15 'Segoe UI',sans-serif;margin:0 0 9px}
.rg-inference-widget .rg-test-decision.rg-reject{color:#ff5c77}
.rg-inference-widget .rg-test-decision.rg-dont-reject{color:#ffd166}

/* A worked reason for the complete fit's hypothesis-test decision. */
.rg-inference-widget .rg-fit-interpretation{display:grid;grid-template-columns:1fr 1fr 1.25fr;gap:18px;margin-top:12px}
.rg-inference-widget .rg-fit-reason-step{padding:13px 17px;border:1px solid #344058;border-radius:10px;background:#101722;min-width:0}
.rg-inference-widget .rg-fit-reason-step .rg-heading{font:600 19px/1.3 'Segoe UI',sans-serif;color:#b7c8dc;margin-bottom:8px}
.rg-inference-widget .rg-fit-reason-step math{font-size:27px}
.rg-inference-widget .rg-fit-reason-step p{font:22px/1.35 'Segoe UI',sans-serif;color:#d6e1ed;margin:8px 0 0!important}
.rg-inference-widget .rg-fit-reason-step .rg-test-decision{font-size:27px;margin:7px 0 0}

.rg-inference-widget .rg-fit-reason-step{font:22px/1.35 Segoe UI,sans-serif}

/* Introduce the observed ice-cream/shark regression before interpreting causes. */
.reg-review .rg-icecream-result-layout{grid-template-columns:1.24fr 1fr;gap:28px}
.reg-review .rg-icecream-result-plot{display:block;width:100%;height:390px;object-fit:contain;margin:12px 0 0}
.reg-review .reveal #ice-cream-regression-intro .slide-body{gap:18px}
.reg-review .reveal #ice-cream-regression-intro h2{font-size:45px}
.reg-review .reveal #ice-cream-regression-intro .card{padding:22px 26px}
.reg-review .reveal #ice-cream-regression-intro .card .label{font-size:23px;text-transform:none;letter-spacing:.01em}
.reg-review .reveal #ice-cream-regression-intro .card p{font-size:26px;line-height:1.4}
.reg-review .reveal #ice-cream-regression-intro .card .rg-icecream-causal-claim{font-size:32px;line-height:1.35;color:#ffbc66;margin:15px 0}
.reg-review .rg-icecream-conclusion-label{display:block;margin-top:20px}
.reg-review .rg-icecream-result-metrics{width:100%;border-collapse:collapse;table-layout:fixed;text-align:center}
.reg-review .rg-icecream-result-metrics th,.reg-review .rg-icecream-result-metrics td{padding:10px 12px;text-align:center;border-bottom:1px solid #344359}
.reg-review .rg-icecream-result-metrics th{font:600 24px/1.25 'Segoe UI',sans-serif;color:#d7e6f2;background:#151e2b}
.reg-review .rg-icecream-result-metrics th span{display:block;font:19px/1.3 'Segoe UI',sans-serif;color:#aebfd1;margin-top:3px}
.reg-review .rg-icecream-result-metrics td{font:28px/1.3 'Segoe UI',sans-serif;color:#e6eef6}
.rg-reading .rg-icecream-result-layout{grid-template-columns:1fr;margin:24px 0}
.rg-reading .rg-icecream-result-plot{height:auto;max-height:430px;margin:16px auto}
.rg-reading .rg-icecream-result-metrics{margin:24px 0;font-size:.9em}
.rg-reading .rg-icecream-result-metrics th,.rg-reading .rg-icecream-result-metrics td{border-color:#cbd7e0}
.rg-reading .rg-icecream-result-metrics th{font-size:16px;color:#234058;background:#edf4f7}
.rg-reading .rg-icecream-result-metrics th span{font-size:13px;color:#506779}
.rg-reading .rg-icecream-result-metrics td{font-size:18px;color:#263e54}
@media(max-width:650px){.rg-reading .rg-icecream-result-metrics th,.rg-reading .rg-icecream-result-metrics td{padding:8px 4px;font-size:12px;overflow-wrap:anywhere}.rg-reading .rg-icecream-result-metrics th span{font-size:11px}}

.reg-review .reveal #correlation-not-causation .rg-correlation-resource{font-size:24px;line-height:1.35;margin:0}
.rg-reading .rg-correlation-resource{margin:20px 0 0;font-size:1em}

/* Explicit per-unit coefficient meanings and three-variable projection controls. */
.reg-review .rg-widget .rg-conf-coefficient-guide{font:22px/1.35 'Segoe UI',sans-serif;padding:15px 22px;margin-top:12px;gap:16px 26px}
.reg-review .rg-widget[data-kind=confounding] .rg-heading{font-size:18px;line-height:1.3}
.reg-review .rg-widget[data-kind=confounding] .rg-side p{font-size:23px;line-height:1.35}
.reg-review .rg-widget[data-kind=confounding] .rg-metric{font-size:31px}
.reg-review .rg-widget[data-kind=confounding] .rg-toolbar{gap:12px;row-gap:10px}
.reg-review .rg-widget[data-kind=confounding] .rg-toolbar select[data-setting=x],.reg-review .rg-widget[data-kind=confounding] .rg-toolbar select[data-setting=y]{width:205px;max-width:205px}
.reg-review .reveal #adjustment .rg-key{font-size:23px;line-height:1.35}
.reg-review .reveal #adjustment .card p{font-size:26px;line-height:1.4}

.reg-review .rg-widget[data-kind=confounding] .rg-graphic{height:450px}
.reg-review .rg-widget[data-kind=confounding] .rg-side p{font-size:23px!important}

.reg-review .rg-widget .rg-conf-fixed-axis{font:21px/1.3 'Segoe UI',sans-serif;color:#aebfd1;white-space:nowrap}
.reg-review .rg-widget .rg-conf-fixed-axis strong{color:#dce7f2;font-weight:600}

/* LINE: two assumptions per slide, with schematic intuition and practical use. */
.reg-review .reveal .rg-line-assumptions .slide-body{gap:18px}
.reg-review .reveal .rg-line-assumptions .slide-body>h2{font-size:47px}
.reg-review .reveal .rg-line-assumptions .rg-intro-lead{font-size:27px}
.reg-review .reveal .rg-line-assumptions .card{padding:24px 28px}
.reg-review .reveal .rg-line-assumptions .card p{font-size:25px;line-height:1.35;margin:12px 0 0}
.reg-review .reveal .rg-line-assumptions .card .label{text-transform:none;letter-spacing:0;font-size:29px}
.reg-review .reveal .rg-line-assumptions .rg-key{font-size:22px;line-height:1.35;padding:15px 24px}
.reg-review .reveal .rg-line-assumptions .takeaway{font-size:24px;padding:15px 24px}
.reg-review .rg-line-sketch{display:block;width:100%;height:150px;margin:16px 0 12px;color:#8fa4b9}
.rg-line-sketch text{font:21px 'Segoe UI',sans-serif;fill:currentColor}
.rg-line-why{color:#a5dcd4}
.rg-reading .rg-line-sketch{width:100%;height:auto;max-height:190px;margin:18px 0;color:#53697b}
.rg-reading .rg-line-why{color:#206e63}