The data on female wolves in the table below of the Data Bank concerning body we

Question

The data on female wolves in the table below of the Data Bank concerning body weight (lb) and body length (cm) are Weight 56 84 90 71 77 65 75 Body length 124 128 141 126 122 125 122 (a) Obtain the least squares fit of body weight to the predictor body length. Carry out all calculations exactly and round to 3 decimal places the final coefficients only. ModifyingAbove y With caret equals + · x (b) Calculate the residual sum of squares. Carry out all calculations exactly and round to 3 decimal places the final answer only. SSE = (c) Estimate 2 . Carry out all calculations exactly and round to 3 decimal places the final answer only. S2 =

Explanation / Answer

From Excel

a) The regression equation is

y=a+bx

From Excel

y=99.44 + 0.37(weight)

b) From Excel

residual sum of squares(SSE) =153.78

c) 2 =MSE =30.756

SUMMARY OUTPUT Regression Statistics Multiple R 0.640692 R Square 0.410486 Adjusted R Square 0.292583 Standard Error 5.54579 Observations 7 ANOVA df SS MS F Significance F Regression 1 107.0782 107.0782 3.481563 0.12105 Residual 5 153.7789 30.75579 Total 6 260.8571 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 99.43919 14.84301 6.699393 0.001121 61.28401 137.5944 61.28401 137.5944 Weight 0.370513 0.198571 1.865895 0.12105 -0.13993 0.880956 -0.13993 0.880956

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