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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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-select your answer choices-

The least squares line (provided, did not provide) a good fit as (a large, a small) proportion of the variability in y has been explained by the least squares line.

Transcribed Image Text:The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 26.7192 + 0.2828x , where x = price ($) and y = overall score. %3D Brand Price ($) Score Bose 180 76 Scullcandy 160 72 Koss 95 61 Phillips/O'Neill 70 57 Denon 70 30 JVC a. Compute SST, SSR, and SSE (to 3 decimals). 25 34 SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). p2 = Comment on the goodness of fit. Hint: If r is greater than 0.70, the estimated regression equation provides a good fit. The least squares line- Select your answer a good fit as - Select your answer - proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Txy =

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