Question
In: Statistics and Probability
The U.S. Census Bureau reported the following unemployment rates (y) associated with the given number of...
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 |
1. 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)
Solutions
Expert Solution
1.
Regression equation-
Regression equation of y on x is given by
Number of pairs of observation 
So, estimated unemployment rate in case of years of education
95% confidence interval-
Corresponding statistic is given by
Sample size
Sample standard deviation is given by
Degrees of freedom 
We know,
[Using R-code 'qt(1-(1-0.95)/2,6)']
Hence, 95% prediction intervahl is (d) (12.67, 19.87).
orchestra answered 1 year agoRelated Solutions
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