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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.

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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. 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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