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ECO578 Final Exam Latetest Spring 2016_Students Version A+
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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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