Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:
a. 0.429
b. 0.300
c. 0.700
d. 0.837
e. 1
Q. 2Testing whether the slope of the population regression line could be zero is equivalent to testing whether:
a. the sample coefficient of correlation could be zero
b. the standard error of estimate could be zero
c. the population coefficient of correlation could be zero
d. the sum of squares for error could be zero
e. all of these
Q. 3The least squares method for determining the best fit minimizes:
a. total variation in the dependent variable
b. sum of squares for error
c. sum of squares for regression
d. sum of squares for the x values
e. all of these
Q. 4In the least squares regression line y = 3 - 2x, the predicted value of y equals:
a. 1.0 when x = -1.0
b. 2.0 when x = 1.0
c. 2.0 when x = -1.0
d. 1.0 when x = 1.0
e. 1.0 when x = 2.0
Q. 5If a simple linear regression model has no y-intercept, then:
a. all values of x are zero
b. all values of y are zero
c. when y = 0 so does x
d. when x = 0 so does y
e. none of these
Q. 6In regression analysis, the residuals represent the:
a. difference between the actual y values and their predicted values
b. difference between the actual x values and their predicted values
c. square root of the slope of the regression line
d. change in y per unit change in x
e. difference between the actual x and y values
Q. 7In the simple linear regression model, the slope represents:
a. the value of y when x = 0
b. the average change in y per unit change in x
c. the value of x when y = 0
d. the average change in x per unit change in y
e. all of these
Q. 8A regression analysis between sales (in 1000) and advertising (in ) resulted in the following least squares line: y = 80,000 + 5x. This implies that:
a. an increase of 1 in advertising is expected, on average, to result in an increase of 5 in sales
b. an increase of 5 in advertising is expected, on average, to result in an increase of 5,000 in sales
c. an increase of 1 in advertising is expected, on average, to result in an increase of 80,005 in sales
d. an increase of 1 in advertising is expected, on average, to result in an increase of 5,000 in sales
e. all of these
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