onfidence level with a diamond that weighs 0.8 carats.   Weight 0.3 0.4 0.5 0.5 1.0 0.7   Price ​$513 ​$1170 ​$1348 ​$1425 ​$5668 ​$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.)

MATLAB: An Introduction with Applications
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Section 10.3 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
​$1170
​$1348
​$1425
​$5668
​$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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