14) The relationship between the number of games won by a minor league baseball

Question

14) The relationship between the number of games won by a minor league baseball team and the 14) average attendance at their home games is analyzed. A regression to predict the average attendance from the number of games won has an r2 0.256. Assume that a linear model is appropriate. What is the correlation between the average attendance and the number of games won? A) 0.256 B) 0.506 C) 0.744 D) 0.07 E) 0.863 15) Is there a relationship between the raises administrators at State University receive and their 15) performance on the job? A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). Consequently, the group considered the straight-line regression model, Using the method of least squares, the faculty group obtained the following prediction equation, y-2,000x+1400. Interpret the estimated slope of the line. A) For a $1 increase in an administrator's raise, we estimate the administrator's rating to decrease 2,000 points B) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to decrease $2,000. C) For an administrator with a rating of 1.0, we estimate his/her raise to be $2,000. D) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $2,000. 16) 16) A residual is the difference between A) the observed value of y and the predicted value of y B) the observed value of x and the predicted value of x. C) the observed value of x and the predicted value of y D) the observed value of y and the predicted value of x. 17) 17) A manager wishes to determine the relationship between the number of years her sales representatives have been employed by the firm and their amount of sales (in thousands of dollars) per month. Find the equation of the regression line for the given data. What would be the predicted sales if the sales representative was employed by the firm for 30 years Is this reasonable? Why or why not? Years employed, x Sales, y 2- 101 7 | 8 I 151 3-1 11 1 31 33 78 62 65 61 48 55 120 A) y 3.53x-37.92; $67,980; No; it is not reasonable. 30 years of employment is well outside the scope of the model. B) y - 3.53x+37.92, $143,820:Yes, it is reasonable. C) y 3.53x+37.92; $143,820; No: it is not reasonable. 30 years of employment is well outside the scope of the model. D) y 3.53x-37.92 $67,980; Yes; it is reasonable. 4

Explanation / Answer

14) since it is linear model we can say that the correlation between them is r = 0.256

r = 0.506

15) for 1 point increase in an administrator rating we estimate the administrators raise to decrease $2000

16) residual is nothing but difference between observed value of y and predicted value of y.

17) the regression equation of y on x is

Y = 3.53 x + 37.92 yes it is reasonable .

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