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Question

Calculate and plot the residuals and predicted values of y for Exercise 16.5.

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Answered 1 year ago
Answered 1 year ago
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The goal of this task is to compute the residuals and we have to also determine the predicted values of yy. To solve this task we will use the values that are given to us in the Problem 55.

In this task, we will use some values ​​that we have already calculated in the Problem 55 so that we do not have to calculate again. It will be the following data:

n=9,i=1nxi=805,i=1nyi=211,447i=1nxi2=65,239,i=1nyi2=5,569,844,521sxy=73,396.389sx2=48.5sy2=122,095,682.23xˉ=80.5yˉ=21,144.7.\begin{align*} n&=9,\\ \sum_{i=1}^nx_i&= 805,\\ \sum_{i=1}^ny_i&= 211,447\\ \sum_{i=1}^nx_i^2&=65,239, \\ \sum_{i=1}^ny_i^2&=5,569,844,521\\ s_{xy}&=73,396.389\\ s_x^2&= 48.5\\ s_y^2&=122,095,682.23\\ \=x&=80.5\\ \=y&=21,144.7. \end{align*}

And we can also use a regression line that we have already determined then:

yˆ=100,678.37+1,513.33x.\begin{align*} \^y=-100,678.37+1,513.33x. \end{align*}

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