Quiz: Simple Linear Regression

1. The coefficients of the least squares regression line are determined by minimizing the sum of the squares of the
a. x-coordinates.
b. y-coordinates.
c. residuals.
2. A residual is computed as
a. a y-coordinate from the data minus a y-coordinate predicted by the line.
b. a y-coordinate predicted by the line minus a y-coordinate from the data.
c. an x-coordinate from the data minus an x-coordinate predicted by the line.
3. A geometric interpretation of a residual is the
a. perpendicular distance from a data point to the regression line.
b. horizontal distance from a data point to the regression line.
c. vertical distance from a data point to the regression line.
4. A paired data set has n = 5, Σ x = 15, Σ y = 27, Σ xy = 100, and Σ x2 = 55. Sxy =
a. 1.9
b. 10
c. 19

For questions 5 and 6, use equation

5. A paired data set has n = 5, Σ x = 15, Σ y = 27, Σ xy = 100, and Σ x2 = 55. Sxx =
a. 1.9
b. 10
c. 19
6. A paired data set has n = 5, Σ x = 15, Σ y = 27, Σ xy = 100, and Σ x2 = 55. The slope of the regression line is
a. 1.9
b. 10
c. 19
7. A paired data set has n = 5, Σ x = 15, Σ y = 27, Σ xy = 100, and Σ x2 = 55. The intercept of the regression line is
a. –0.3
b. 1.9
c. 5.4
8. A paired data set has equation, and slope of the regression line 1.5. The intercept of the regression line is
a. –7
b. 8
c. 23
9. A set of paired data has sx = 2.4, sy = 3.2, and correlation coefficient –0.8. The slope of the regression line is
a. –0.1.067
b. –0.8
c. –0.6
10. The equation of the regression line is equation. Predict y when x = 5.
a. 1.6
b. 2.6
c. 8.0
11. The equation of the regression line is equation. Compute the residual for the point (7, 6).
a. –1
b. 1
c. 5
12. A set of paired data has equation, sx = 4.9, equation, sy = 13.2, and r = 0.97. The slope of the least squares regression line is
a. 0.36
b. 0.97
c. 2.62
13. A set of paired data has equation, sx = 4.9, equation sy = 13.2, and r = 0.97. The y-intercept of the least squares regression line is
a. 5.1
b. 8.0
c. 13.2
14. A set of paired data has equation, sx = 4.9, equation, sy = 13.2, and r = 0.97. Which point is on the least squares regression line?
a. (0, 0.97)
b. (4.9, 13.2)
c. (8.0, 26.0)
15. A point for the slope of least squares regression line for all pairs in the population is
a. the correlation coefficient for the pairs in the sample.
b. the slope of the regression line for the pairs in the sample.
c. the sum of the squares of the residuals for the regression line for the pairs in the sample.
16. If a confidence interval for the slope of the least squares regression line for all pairs in the population has a negative lower bound and a positive upper bound, then
a. there is evidence of a positive linear association between the variables.
b. there is evidence of a negative linear association between the variables.
c. there is no evidence of a linear association between the variables.
17. If a confidence interval for the slope of the least squares regression line for all pairs in the population has a positive lower bound and a positive upper bound, then
a. there is evidence of a positive linear association between the variables.
b. there is evidence of a negative linear association between the variables.
c. there is no evidence of a linear association between the variables.
18. A set of paired data has n = 30, b = 1.45, and equation. A 95% confidence interval for the slope of the least squares regression line for all pairs in the population is constructed. The degree of freedom is
a. 28
b. 29
c. 30
19. A set of paired data has n = 30, b = 1.45, and equation. A 95% confidence interval for the slope of the least squares regression line for all pairs in the population is constructed. The critical t-value is
a. 1.96
b. 2.042
c. 2.048
20. A set of paired data has n = 30, b = 1.45, and equation. A 95% confidence interval for the slope of the least squares regression line for all pairs in the population is constructed. The lower bound of the confidence interval is
a. 1.194
b. 1.205
c. 1.325
21. The critical value for a confidence interval for the slope of the least squares regression line for all pairs in the population does not depend on
a. the confidence level
b. the sample size
c. the slope of the least squares regression line for the sample
22. Data has been collected for a random sample for the daily temperature and the amount of money from ice cream sales. The temperatures ranged from 60o to 95o. The least squares regression line is computed. Which statement best describes using the line to predict sales when the temperature is 50o?
a. it will not be possible to compute the sales number
b. the prediction is reliable because regression is used
c. the prediction may be helpful but is less reliable because the value is lower than the data range

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