Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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In a
regression and correlation analysis if r2 = 1, then a. | SSE =
SST | b. | SSE =
1 | c. | SSR =
SSE | d. | SSR =
SST | | |
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2.
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If
the coefficient of determination is a positive value, then the regression equation a. | must have a
positive slope | b. | must have a negative slope | c. | could have
either a positive or a negative slope | d. | must have a positive y intercept | | |
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3.
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If
the coefficient of correlation is a positive value, then the slope of the regression
line a. | must also be
positive | b. | can be either negative or positive | c. | can be
zero | d. | can not be
zero | | |
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4.
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If
the coefficient of determination is 0.81, the coefficient of correlation a. | is
0.6561 | b. | could be either + 0.9 or - 0.9 | c. | must be
positive | d. | must be negative | | |
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5.
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If a
data set has SST = 2,000 and SSE = 800, then the coefficient of determination is
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6.
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If
the coefficient of correlation is a negative value, then the coefficient of
determination a. | must also be
negative | b. | must be zero | c. | can be either
negative or positive | d. | must be positive | | |
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7.
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If
the coefficient of determination is 0.9, the percentage of variation in the dependent variable
explained by the variation in the independent variable a. | is
0.90% | b. | is 90%. | c. | is
0.81% | d. | can be any positive value | | |
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Exhibit 14-1
The following information regarding a dependent
variable (Y) and an independent variable (X) is provided.
SSE = 6
SST =
16
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8.
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Refer
to Exhibit 14-1. The MSE is
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Exhibit 14-7
You are given the following information about y and
x.
y | x | Dependent Variable | Independent
Variable | 5 | 15 | 7 | 12 | 9 | 10 | 11 | 7 | | |
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9.
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Refer
to Exhibit 14-7. The least squares estimate of b1 equals a. | -0.7647 | b. | -0.13 | c. | 21.4 | d. | 16.412 | | |
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Exhibit 14-9
A regression and correlation analysis resulted in the
following information regarding a dependent variable (y) and an independent variable
(x).
n = 10
Sx = 55
Sy = 55
Sx2 = 385
Sy2 =
385
Sxy = 220
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10.
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Refer
to Exhibit 14-9. The point estimate of y when x = 20 is
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