Question #9 The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. 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​ 95% confidence level with a diamond that weighs 0.8 carats.   Weight   0.3   0.4   0.5   0.5   1.0   0.7   Price   ​$513   ​$1175   ​$1335   ​$1401   ​$5659   ​$2266       a. Find the explained variation.   ______________ (Round to the nearest whole number as​ needed.)    b. Find the unexplained variation.   _______________ ​(Round to the nearest whole number as​ needed.)    c. Find the indicated prediction interval.   $ _____________ < y < $ ____________  (Round to the nearest whole number as​ needed.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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Question #9

The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. 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​ 95% confidence level with a diamond that weighs 0.8 carats.

 

Weight

 

0.3

 

0.4

 

0.5

 

0.5

 

1.0

 

0.7

 

Price

 

​$513

 

​$1175

 

​$1335

 

​$1401

 

​$5659

 

​$2266

 

 

 

a. Find the explained variation.

 

______________

(Round to the nearest whole number as​ needed.) 

 

b. Find the unexplained variation.

 

_______________

​(Round to the nearest whole number as​ needed.) 

 

c. Find the indicated prediction interval.

 

$ _____________ < y < $ ____________ 

(Round to the nearest whole number as​ needed.) 

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