# Question

The variables y = annual income (thousands of dollars), x1 = number of years of education, and x2 = number of years experience in job are measured for all the employees having city-funded jobs in Knoxville, Tennessee. Suppose that the following regression equations and correlations apply:

(i) ŷ = 10 + 1.0x1, r = 0.30.

(ii) ŷ = 14 + 0.4x2, r = 0.60.

The correlation is −0.40 between x1 and x2. Which of the following statements are true?

a. The weakest association is between x1 and x2.

b. The regression equation using x2 to predict x1 has negative slope.

c. Each additional year on the job corresponds to a $400 increase in predicted income.

d. The predicted mean income for employees having 20 years of experience is $4000 higher than the predicted mean income for employees having 10 years of experience.

(i) ŷ = 10 + 1.0x1, r = 0.30.

(ii) ŷ = 14 + 0.4x2, r = 0.60.

The correlation is −0.40 between x1 and x2. Which of the following statements are true?

a. The weakest association is between x1 and x2.

b. The regression equation using x2 to predict x1 has negative slope.

c. Each additional year on the job corresponds to a $400 increase in predicted income.

d. The predicted mean income for employees having 20 years of experience is $4000 higher than the predicted mean income for employees having 10 years of experience.

## Answer to relevant Questions

Suppose you convert y = income from British pounds to dollars, and suppose a pound equals 2.00 dollars. a. Explain why the y values double, the mean of y doubles, the deviations (y - ) double, and the standard deviation sy ...The Internet Use data file on the text CD contains data on the number of individuals with broadband access and Gross Domestic Product (GDP) for 33 nations. Let x represent GDP (in billions of U.S. dollars) and y = number of ...Sketch a scatterplot for which r > 0, but r = 0 after one of the points is deleted. The House Selling Prices FL data file on the text CD lists selling prices of homes in Gainesville, Florida, in 2003 and some predictors for the selling price. For the response variable y = selling price in thousands of ...For students who take Statistics 101 at Lake Wobegon College in Minnesota, both the midterm and final exams have mean = 75 and standard deviation = 10. The professor explores using the midterm exam score to predict the final ...Post your question

0