update
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@@ -377,8 +377,8 @@ $$
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\tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
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$$
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a
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\( p\times n \) matrix \( \boldsymbol{X} \).
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an
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\( n\times p \) matrix \( \boldsymbol{X} \).
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</p>
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<p>
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@@ -811,8 +811,8 @@ $$
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$$
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<p> <br>
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a
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\( p\times n \) matrix \( \boldsymbol{X} \).
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an
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\( n\times p \) matrix \( \boldsymbol{X} \).
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</p>
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</section>
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@@ -822,8 +822,8 @@ $$
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\tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
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$$
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a
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\( p\times n \) matrix \( \boldsymbol{X} \).
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an
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\( n\times p \) matrix \( \boldsymbol{X} \).
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</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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@@ -899,8 +899,8 @@ $$
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\tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
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$$
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a
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\( p\times n \) matrix \( \boldsymbol{X} \).
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<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an
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\( n\times p \) matrix \( \boldsymbol{X} \).
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</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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@@ -573,8 +573,8 @@ We assume our data can represented by a fourth-order polynomial. For the $i$th c
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\tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
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\]
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!et
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we have five predictors/features. The first is the intercept $\beta_0$. The other terms are $\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is a
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$p\times n$ matrix $\bm{X}$.
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we have five predictors/features. The first is the intercept $\beta_0$. The other terms are $\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is an
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$n\times p$ matrix $\bm{X}$.
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!split
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