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replaced diagram with better one
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Glen_b
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The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description hereenter image description here

In the diagram, point 1 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 1 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 1 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

deleted 2 characters in body
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Glen_b
  • 290.5k
  • 37
  • 652
  • 1.1k

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 31 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 3 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 1 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.

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Glen_b
  • 290.5k
  • 37
  • 652
  • 1.1k

The leverage is $h_{ii}=\frac{1}{n}+\frac{(x_i-\bar{x})^2}{\sum (x_i-\bar{x})^2}\,$.

The term $\frac{1}{n}$ and the denominator of the second term $\sum (x_i-\bar{x})^2$ are the same for every $i$, so the point with the largest $(x_i-\bar{x})^2$ has the highest leverage.

This means that the point furthest from the mean has the highest leverage.

enter image description here

In the diagram, point 3 is the furthest from $\bar x$ in the x-direction, so it will have the largest leverage of the three points.