The following data show the brand, price , and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from  (lowest) to  (highest). The estimated regression equation for these data is , where  and y=24.8969+0.3010x Brand Price ($) Score Bose 170   75 Scullcandy 160   72 Koss 95   61 Phillips/O'Neill 70   57 Denon 70   30 JVC 35   35 a. Compute   (to 3 decimals). SST =   SSR =   SSE =   b. Compute the coefficient of determination  (to  3 decimals).  r^2= c. What is the value of the sample correlation coefficient (to 3 decimals)? rxy=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.8: Analyzing Functions With Successive Differences
Problem 2BGP
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The following data show the brand, price , and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from  (lowest) to  (highest). The estimated regression equation for these data is , where  and y=24.8969+0.3010x

Brand Price ($) Score
Bose 170   75
Scullcandy 160   72
Koss 95   61
Phillips/O'Neill 70   57
Denon 70   30
JVC 35   35

a. Compute   (to 3 decimals).

SST =  
SSR =  
SSE =  

b. Compute the coefficient of determination  (to  3 decimals).

 r^2=

c. What is the value of the sample correlation coefficient (to 3 decimals)?

rxy=  

 

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