The overall regression F-statistic tests the null hypothesis that: a. all slope coefficients and the intercept are zero. b. all slope coefficients are zero. c. the slope coefficient of the variable of interest is zero, but that the other slope coefficients are not. d. the intercept in the regression and at least one, but not all, of the slope coefficients is zero.

Suppose that in a multiple regression the F test statistic is significant, but none of the t test statistics are significant. This means that ________. a. multicollinearity may be present b. autocorrelation may be present c. collinearity may be present d. (a) and (c).

Assume the simple regression model holds. If the 95% confidence interval for the slope in an estimated simple regression is the interval (10, 22), then _________. a. the true (population) slope is not zero b. the F statistic of the fitted regression model is less than 4. c. the p-value of the estimated slope is more than 0.05. d. the t statistic for the estimated slope is approximately 2.

A multiple regression has a sample of 16 with 3 independent variables. Given SSE = 180 and SSR = 90 what is the value of the F test statistic used to test the significance of the overall multiple regression model.

A sample of 12 observations collected in a multiple regression study on two independent variables (X1 and X2) shows the following partial results. SST = 12321 and SSE = 3516. If SSR(X1) = 4496 and SSR(X2) = 5378, what would be the value of the partial F test statistic used to test the null hypothesis that variable X1 does not significantly improve the model after variable X2 has been included? Round your final answer to two decimal places.

For a sample of 30 Australian cities, a sociologist studies the crime rate in each city (crime per 100,000 residents) as a function of its poverty rate (in %) and its average income (in $1,000). A portion of the regression results shows that the coefficients for poverty and average income are 54.22 and 5.10, respectively. Based on this information, what is the value of test statistic used to test the null hypothesis that X1 has no significant effect on Y at the 5% level of significance, if the standard error of the slope of Y with variable X1 equals 15.50. Round your final answer to two decimal places. Note: Y = crime rate in each city (crime per 100,000 residents); X1 = poverty rate (in %); and X2 = average income (in $1,000).