Question #40
Reading: Reading 1 Multiple Regression
PDF File: Reading 1 Multiple Regression.pdf
Page: 18
Status: Unattempted
Correct Answer: B
Part of Context Group: Q39-40
Shared Context
Question
Brent would like to further investigate whether at least one of the independent variables can explain a significant portion of the variation of the dependent variable. Which of the following methods would be best for Brent to use?
Answer Choices:
A. The F-statistic
B. The multiple coefficient of determination
C. An ANOVA table. In preparing an analysis of HB Inc., Jack Stumper is asked to look at the company's sales in relation to broad based economic indicators. Stumper's analysis indicates that HB's monthly sales are related to changes in housing starts (H) and changes in the mortgage interest rate (M). The analysis covers the past ten years for these variables. The regression equation is: S = 1.76 + 0.23H - 0.08M Number of observations: 123 Unadjusted R2: 0.77 F statistic: 9.80 Durbin Watson statistic 0.50 p-value of Housing Starts 0.017 p=value of Mortgage Rates 0.033 Variable Descriptions S = HB Sales (in thousands) H = housing starts (in thousands) M = mortgage interest rate (in percent) November 20x6 Actual Data HB's monthly sales: $55,000
Explanation
To determine whether at least one of the coefficients is statistically significant, the
calculated F-statistic is compared with the critical F-value at the appropriate level of
significance.
(Module 1.1, LOS 1.b)
In preparing an analysis of HB Inc., Jack Stumper is asked to look at the company's sales in
relation to broad based economic indicators. Stumper's analysis indicates that HB's monthly
sales are related to changes in housing starts (H) and changes in the mortgage interest rate
(M). The analysis covers the past ten years for these variables. The regression equation is:
S = 1.76 + 0.23H - 0.08M
Number of observations:
123
Unadjusted R2:
0.77
F statistic:
9.80
Durbin Watson statistic
0.50
p-value of Housing Starts
0.017
p=value of Mortgage Rates
0.033
Variable Descriptions
S = HB Sales (in thousands)
H = housing starts (in thousands)
M = mortgage interest rate (in percent)
November 20x6 Actual Data
HB's monthly sales: $55,000
Housing starts: 150,000
Mortgage interest rate (%): 7.5