Question

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. 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

ŷ = 19.385 + 0.346x,

where x = price ($) and y = overall score.

Brand	Price ($)	Score
A	180	78
B	150	71
C	95	59
D	70	54
E	70	38
F	35	24

(a)Compute SST, SSR, and SSE. (Round your answers to three decimal places.)

SST=?

SSR=?

SSE=?

(b)Compute the coefficient of determination r². (Round your answer to three decimal places.)

r² =

(c)What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

------------?

Answer 1

The statistical software output for this problem is :

(a)

SST = 2046

SSR = 1791.34

SSE = 254.654

(b)

coefficient of determination r² = 0.876

(c)

sample correlation coefficient = 0.936