**ECO578 Final Exam Latetest Spring 2016_Students Version A+**

__Part A: Multiple Choice (1–11)__

__ __

______1. Using the “eyeball” method, the regression line = 2+2x has been fitted to the data points (x = 2, y = 1), (x = 3, y = 8), and (x = 4, y = 7). The sum of the squared residuals will be

a. 7 b. 19 c. 34 d. 8

______2. A computer statistical package has included the following quantities in its output: SST = 50, SSR = 35, and SSE = 15. How much of the variation in y is explained by the regression equation?

a. 49% b. 70% c. 35% d. 15%

______3. In testing the significance of, the null hypothesis is generally that

a. β = b. β 0 c. β = 0 d. β = r

______4. Testing whether the slope of the population regression line could be zero is equivalent to testing whether the population _____________ could be zero.

a. standard error of estimate c. y-intercept

b. prediction interval d. coefficient of correlation

______5. A multiple regression equation includes 4 independent variables, and the coefficient of multiple determination is 0.64. How much of the variation in y is explained by the regression equation?

a. 80% b. 16% c. 32% d. 64%

______6. A multiple regression analysis results in the following values for the sum-of-squares terms: SST = 50.0, SSR = 35.0, and SSE = 15.0. The coefficient of multiple determination will be

a. = 0.35 b. = 0.30 c. = 0.70 d. = 0.50

______7. In testing the overall significance of a multiple regression equation in which there are three independent variables, the null hypothesis is

a. :

b. :

c. :

d. :

______8. In a multiple regression analysis involving 25 data points and 4 independent variables, the sum-of-squares terms are calculated as SSR = 120, SSE = 80, and SST = 200. In testing the overall significance of the regression equation, the calculated value of the test statistic will be

a. F = 1.5 c. F = 5.5

b. F = 2.5 d. F = 7.5

______9. For a set of 15 data points, a computer statistical package has found the multiple regression equation to be = -23 + 20+ 5 + 25 and has listed the t-ratio for testing the significance of each partial regression coefficient. Using the 0.05 level in testing whether = 20 differs significantly from zero, the critical t values will be

a. t = -1.960 and t= +1.960

b. t = -2.132 and t = +2.132

c. t = -2.201 and t = +2.201

d. t = -1.796 and t = +1.796

______10. Computer analyses typically provide a p-Value for each partial regression coefficient. In the case of , this is the probability that

a. = 0

b. =

c. the absolute value of

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