For a particular multiple linear regression analysis there are seven predictor variables. A sample of 68 observations is obtained on the seven predictor variables and the response variable. It is found that SSR = 987 and SSE = 1826.a. Construct the analysis of variance table for this analysis.b. Find R2 and interpret its value.c. Find the standard error of the estimate, se.d. At the 1% signicance level, do the data provide sufficient evidence to conclude that the seven predictor variables taken together are useful for predicting the response variable?e. State how useful you feel the regression equation is for making predictions about the response variable.

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Asked Dec 31, 2019
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For a particular multiple linear regression analysis there are seven predictor variables. A sample of 68 observations is obtained on the seven predictor variables and the response variable. It is found that SSR = 987 and SSE = 1826.
a. Construct the analysis of variance table for this analysis.
b. Find R2 and interpret its value.
c. Find the standard error of the estimate, se.
d. At the 1% signicance level, do the data provide sufficient evidence to conclude that the seven predictor variables taken together are useful for predicting the response variable?
e. State how useful you feel the regression equation is for making predictions about the response variable.

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Expert Answer

Step 1

a).

It is given that SSR=987 and SSE=1826. The sample size is 68 and the number of predictor variables is 7.

Statistics homework question answer, step 1, image 1
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Step 2

The mean square error and F statistic can be calculated as follows:

Statistics homework question answer, step 2, image 1
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Step 3

The ANOVA table is ...

Statistics homework question answer, step 3, image 1
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