Question #7 Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a 99​% confidence level with a court income of $800​,000.   Court Income   ​$68   ​$409   ​$1599   ​$1125   ​$263   ​$252   ​$113   ​$155   ​$29   Justice Salary   ​$33   ​$44   ​$92   ​$56   ​$40   ​$65   ​$21   ​$25   ​$20     a. Find the explained variation.   ______________ (Round to three decimal places as​ needed.)   b. Find the unexplained variation.   _______________ (Round to three decimal places as​ needed.)   c. Find the indicated prediction interval.   $ _____________ < y < $ ____________  (Round to four decimal places as​ needed.)

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Question #7

Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a 99​% confidence level with a court income of $800​,000.

 

Court Income

 

​$68

 

​$409

 

​$1599

 

​$1125

 

​$263

 

​$252

 

​$113

 

​$155

 

​$29

 

Justice Salary

 

​$33

 

​$44

 

​$92

 

​$56

 

​$40

 

​$65

 

​$21

 

​$25

 

​$20

 

 

a. Find the explained variation.

 

______________

(Round to three decimal places as​ needed.)

 

b. Find the unexplained variation.

 

_______________

(Round to three decimal places as​ needed.)

 

c. Find the indicated prediction interval.

 

$ _____________ < y < $ ____________ 

(Round to four decimal places as​ needed.)

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