The follnwirlg 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 quaiity and effectiveness of ambient noise reduction Scares range from 0 (lowest) to ma (highest) The estimated regression equation for these data is y = 23.592 + 0.324x, wherex = price (3;) and y = overall score. Brand prise (s) Score A 15C! 78 B 150 71 C 95 53 D 70 56 E 70 42 F 35 26 (a) Cnmpute SST, SSH, and SSE. [Round ynur answers to three decimal places.) (b) Compute the coefcient of determination r2. (Round your answer to three decimal places.) r2 : E Cnmment on the goodness of t. (For purposes nf this uercise, consider a proportion large if it is at least 0.55.) O The least squares line provided a good t as a large proportion of the variability in y has been explained by the least squares line 0 The least squares line did not provide a good t as a large proportion of the variability in y has been explained by the least squares line 0 The least squares line did not provide a good t as a small proportion cf the variability in y has been explained by the ieast squares line. 0 The least squares line provided a good t as a small proportion of the variability in y has been Explained by the least squares iine. (c) what is the value 0f the sample correlation coefcient? (Round your answerto three decimal places) \\:|