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1. Which of the following techniques is used to predict the value of one variable on the basis of other variables? a. Correlation analysis b.
1. Which of the following techniques is used to predict the value of one variable on the basis of other variables? a. Correlation analysis b. Coefficient of correlation . Covariance d. Regression analysis 2. In 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 3. In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x. b. change in x per unit change in y. c. value of y when x = 0. d. value of x when y = 0. 4. A regression analysis between sales (in $1000) and advertising (in $100) resulted in the following least squares line: p = 75+ 6x. This implies that if advertising is $800, then the predicted amount of sales (in dollars) is: a. $4875 b. $123,000 C. $487,500 d. $12,300 5. The residual is defined as the difference between: the actual value of y and the estimated value of y b. the actual value of x and the estimated value of x c. the actual value of y and the estimated value of x d. the actual value of x and the estimated value of y. In the simple linear regression model, the slope represents the: value of y when x = 0. average change in y per unit change in x. value of x when y = 0. average change in .1: per unit change in y. sparse . In regression analysis, the residuals represent the: difference between the actual y values and their predicted values. difference between the actual x values and their predicted values. square root of the slope of the regression line. change in y per unit change in x. spares . The least squares method for determining the best t minimizes: total variation in the dependent variable sum of squares for error sum of squares for regression All of these choices are true. P'PP'POO 9. The regression line ? = 3+ 2x has been tted to the data points (4, 8), (2, 5), and (1, 2). The sum of the squared residuals will be: a. 7 b. 15 c 8 d'. 22
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