Statistics Solutions

(Step-by-Step) Do the following. Compute SST, SSR, and SSE, using Formula 14.2. ST=S_y y, SSR=(S_x y^2)/(S_x x), and SSE=S_y y-(S_x y^2)/(S_x x). Compute the

Question: Do the following.

  1. Compute SST, SSR, and SSE, using Formula 14.2.
    ST=Syy,SSR=Sxy2Sxx,ST=S_{y y}, \quad SSR=\frac{S_{x y}^{2}}{S_{x x}}, \quad and SSE=Syy−Sxy2Sxx\quad SSE=S_{y y}-\frac{S_{x y}^{2}}{S_{x x}}.
  2. Compute the coefficient of determination, .
  3. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.
  4. State how useful the regression equation appears to be for making predications.

Following are the size and price data for custom homes from Exercise 14.52.

X 26 27 33 29 29 34 30 40 22
Y 540 555 575 577 606 661 738 804 496

Solution:

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