Homework Sourse23 Which one of the following statements describes the resul
23. Which one of the following statements describes the results of the hypothesis test for the overall regression model using ? = 0.05?
a. Because the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
b. Because the test statistic is greater than the critical value, we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
c. Because the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
d. Because the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
SUMMARY OUTPUT Rearession Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.8486 36,009.01 ANOVA Significance F 0.0022 MS Regression Residual Total 36,709,265,905.70 14 50,972,400,000.00 Coefficients Standard Error t Stat P- Lower 95% Upper 95% Intercept Age Living Area Bedrooms 108,597.3721 580.6870 86.8282 31,261.9127 101,922.3333 2,092.4981 27.6994 11,006.8696 value 0.3095 0.7865 0.0095 0.0161Solution
d. Because the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
because signifincance F is lower than alpha
