Question

2. (11 pts.) Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 20, 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.

Creativity score	Performance score
9	93
7	89
8	95
13	101
10	102
10	96
9	95
18	111
10	103
14	107

2. ( pts) Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 20, 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. Creativity score Performance score 93 89 95 101 102 13 10 95 10 14 103 107 (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 x 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: 10, ΣΧ,-108, ΣΧ,-1264 Σ),-992, Σ. (Show the details of your work.) 98820, ΣΕΧ-10894 n

Please answer all the parts clearly. thank you.

Answer 1

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Here' the answer below, with the diagram, formula for correlation, and Rsquare and also the comments on whether values of X will have a good prediction.