2. Part of the ANOVA summary table for using land area (X1) and age of a house (

Question

2. Part of the ANOVA summary table for using land area (X1) and age of a house (X2) to predict fair market value is shown to the right.


The ANOVA summary table to the right is for a multiple regression model with six independent variables. Complete parts (a) through (e). Degrees of Sum of Source Freedom Squares Regression 6 18 a. Determine the regression mean square (MsR) and the mean square error (MSE). MSR (Round to four decimal places as needed.) MSE (Round to four decimal places as needed.) b. Compute the overall F test statistic. STAT STAT (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent variables at the 0.05 level of significance. Choose the correct answer below. O A. There is sufficient evidence of a linear relationship because the test statistic is less than the critical value. O B. There is insufficient evidence of a linear relationship because the test statistic is less than the critical value, O C. There is sufficient evidence of a linear relationship because the test statistic is greater than the critical value.

Explanation / Answer

a) MSR = REGRESSION mean square = 13.3333

MSE = error mean square = 11.1111

b) F-stat = 1.2

c) answer B There is insufficient evidence of linear relationship because the test statistic is lesser than the critical value

d) r sq = SSM/ SST = 80/280 = 0.2857

The coefficient of multiple determination indicates that 28.57% of the variation in the dependendent variable can be explained by the variation in the independent variables

E) r sqr adj = 1 - [ (1-r^2)*(n-1)/(n-k-1) ]

= 0.0476

SS df MS F p-value F Crit Regression 80 6 13.33333 1.2 0.350655 0.256693 Error 200 18 11.11111 Not Significant 280 24

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