# Statistics: Multiple Regression Analysis

41. A multiple regression analysis based on n= 24 data points yielded the following fitted model:

Y = 130.0093 - 3.5017 + .0034

The error sum of squares was 465.1348. Each of the following statements is incorrect; your job is to correct each.

a. For each one-unit change in , we expect Y to decrease by -3.5017 units

b. The estimated standard error of the regression is 22.1493

c. There is a direct relation between and Y

d. The fitting error for the data point Y = 50, , and = 1024 is 52.1565

e. If we reduce the value of from 0.0034 to 0.0014, the error sum of squares will

be less than 465.1348

42. Find the cutoff F-value for the following testing situations:

a. Ho: Beta 1 = Beta 2 = Beta 3 = 0; n = 28; and significance level = 0.05

b. Ho: Beta1 = Beta 2 = Beta 3 = Beta 4 = Beta 5 = Beta 6 = 0; n = 35; and significance level = 0.10

c. Ho: Beta 1 = Beta 2 = 0; n = 15; and significance level = 0.01

43, 44. See attached word document.

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#### Solution Preview

41. a. the right statement is:

For each one unit increase in x1, we expect Y to decrease by 3.5017 units.

b. the estimated standard error of the regression ...

#### Solution Summary

The solution provides a multiple regression analysis for the given data.