The following data show the brand, price (S), and the overall score for 6 stereo

Question

The following data show the brand, price (S), 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 = 25.989 + 0.29x , where x = price ($) and y = overall score. Price 180 150 85 60 70 Brand Score 76 71 61 57 30 35 Bose Scullcandy Koss Phillips/O'Neill Denon JVC Round your answers to three decimal places.

Explanation / Answer

a)

SSR= 1148.835 , SSE= 613.1648 AND SST= 1762

b) COEFFICIENT OF DETERMINANTION r^2= 0.6520 which is 65.20%

65.20% indicates that the model explains 65% of the variability of the response data around its mean.

c) sample correlation coefficient, rxy = 0.807469

PLEASE NOTE: I USED EXCEL TO GET ALL THE VALUES.

d.f S.S M.S F REGRESSION 1 1148.835 1148.835 7.49 ERROR 4 613.1648 153.2912 TOTAL 5 1762

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