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.

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.

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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Question

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.

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Expert Solution