professor went to a website for rating professors and looked up the quality rating and also the​ "easiness" of the six​ full-time professors in one department. The ratings are 1​ (lowest quality) to 5​ (highest quality) and 1​ (hardest) to 5​ (easiest). The numbers given are averages for each professor. Assume the trend is​ linear, find the​ correlation, and comment on what it means. a. Calculate the correlation. r = ___ ​(Round to three decimal places as​ needed.) b. Comment on the meaning of the correlation. Choose the correct interpretation below.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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A professor went to a website for rating professors and looked up the quality rating and also the​ "easiness" of the six​ full-time professors in one department. The ratings are 1​ (lowest quality) to 5​ (highest quality) and 1​ (hardest) to 5​ (easiest). The numbers given are averages for each professor. Assume the trend is​ linear, find the​ correlation, and comment on what it means.

 

a. Calculate the correlation. 

r =  ___ ​(Round to three decimal places as​ needed.)

b. Comment on the meaning of the correlation. Choose the correct interpretation below.

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest
quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it
Quality
Easiness
4.8
3.8
means.
4.6
3.1
4.3
3.3
4.4
25
3.9
1.9
3.4
2.2
Calculate the correlation.
(Round to three decimal places as needed.)
Comment on the meaning of the correlation. Choose the correct interpretation below.
O A. Being "easy" as a professor causes students to regard the professor as having a lower quality.
O B. The professors that have high easiness scores tend to also have low quality scores.
O c. Being "easy" as a professor causes students to regard the professor as having a higher quality.
O D. The professors that have high easiness scores tend to also have high quality scores.
Transcribed Image Text:A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it Quality Easiness 4.8 3.8 means. 4.6 3.1 4.3 3.3 4.4 25 3.9 1.9 3.4 2.2 Calculate the correlation. (Round to three decimal places as needed.) Comment on the meaning of the correlation. Choose the correct interpretation below. O A. Being "easy" as a professor causes students to regard the professor as having a lower quality. O B. The professors that have high easiness scores tend to also have low quality scores. O c. Being "easy" as a professor causes students to regard the professor as having a higher quality. O D. The professors that have high easiness scores tend to also have high quality scores.
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