(c) Using the least squares regression line in part (b), predict the performance score, when the creativity score is 8.(d) Predict the performance score, when the creativity score is 25. Comment on the appropriateness of using the line in (b) for this prediction.(e) Calculate the correlation coefficient between X and Y. (Show details of your work.) Give an interpretation of the correlation coefficient r.

2. (18 pts.) Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 25, with higher scores indicating greater creativity) and were evaluated regarding teaching performance by students and peers (a score of 100 indicates an average performance, and larger scores indicate better performance). The creativity scores and teaching performance scores are given below. (a) Draw a scatter plot of the data. (b) We want to investigate if creative people tend to perform better with regard to teacher evaluations. Fit a least-squares regression line to the data with Creativity score it as the explanatory variable and Performance score y as the response variable. Find the equation of the least squares regression line using the information below: n=10, 2x, = 108, fo=1264, 2,1), = 992, ny= 98820, Zia), = 10894. (Show the details of your work.)