Question

Use the following information for all questions.

The U.S. Census Bureau reported the following unemployment rates (y) associated with the given number of years of education (x).

Years of Education	Unemployment Rate
5.0	16.8
7.5	17.1
8.0	15.3
10.0	20.6
12.0	11.7
14.0	8.1
16.0	3.8

5. Which of the following is the equation of the regression line? Round the slope and the y=intercept to two decimal places.

6.a. Interpret the slope of the regression line in a sentence. Be sure to interpret in context for the problem.

6.b. Interpret the y-intercept of the regression line in a sentence or explain why the value is not practical. Be sure to refer to the context of the problem.

7. Predict the unemployment rate for 11 years of education. Round the final answer to one decimal place and give the final answer in a full sentence.

8. a. Find the predicted unemployment rate for 8 years of education. Give the response in a full sentence.

8.b. Find the residual for 8 years of education.

9. Was the predicted value an overestimate or an underestimate or was it exactly equal to the observed value?

a. Underestimate

b. Exactly Equal

c. Overestimate

10. Find the 95% prediction interval for 8 years of education. Round the endpoints to two decimal places.

a. (8.10, 22.50)

b. (11.7,18.9)

c. (9.07, 23.47)

d. (12.67, 19.87)

11. Find the coefficient of determination, r², rounded to one decimal place in percentage form, and interpret the value in context of the problem.

Answer 1