Question

1.-The following data were used in a regression study.

Observation	1	2	3	4	5	6	7	8	9
xi	2	3	4	5	7	7	7	8	9
yi	4	5	4	7	4	6	9	6	11

(a)Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ =______

2.-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 = 20.987 + 0.340x, where x = price ($) and y = overall score.

Brand	Price ($)	Score
A	180	78
B	150	73
C	95	59
D	70	54
E	70	40
F	35	26

(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

1)

= 2.36 + 0.67 x

2)

(a)

SST = 1936

SSR = 1729.580

SSE = 206.420

(b)

r ² = 0.893

(c)

The value of the sample correlation coefficient = r = 0.945