Question

The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is Y= 22.153 + 0.328 x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 170 76 Skullcandy 160 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 45 25
Round your answers to three decimal places.
a. Compute SST, SSR, and SSE.
SST ( )
SSR ( )
SSE ( )
b. Compute the coefficient of determination r 2. Comment on the goodness of fit.
r 2 = ( )
c. What is the value of the sample correlation coefficient? r = ( )

Answer 1

a) SST= 1872 SSR=1515.872 SSE=356.128

b) coefficient of multiple determination r​​​​​​2​​​​​=SSR/SST

=1515.872 / 1872

=0.810

c)correlation coefficient r= = 0.90