The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.130 + 0.309x, where x = price ($) and y = overall score.BrandPrice($)ScoreA18076B15073C9563D7054E7040F3524(a)Compute SST, SSR, and SSE. (Round your answers to three decimal places.)SST=SSR=SSE= (b) Compute the coefficient of determinationr2. (Round your answer to three decimal places.) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) (c)What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

The sum of total is calculated by taking the squared difference of each response variable from the…

Answered: The following data show the brand,…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.130 + 0.309x, where x = price ($) and y = overall score.