Question: The data for Exercises 1 through 4 are in the data Lesson 31 Exercise File 1. Betsy is interested in relating quality of teaching to quality of research by college professors. She has access to a sample of 50 social science professors who were teaching at the same university for a 10-year period. Over this 10-year period, the, professors were evaluated on a 5-point scale on quality as instructors and on quality of their courses. Betsy has averaged these ratings to obtain an overall quality rating as an instructor (rating_1) and the overall quality of the co (rating_2) for each professor. In addition, Betsy also has the number of articles that each professor published during this time period (num_pubs) and the number of times these articles were cited by other authors (cites).

1. Conduct a correlational analysis to investigate the relationships among these variables. Identify the following on the output:

1. p value for the correlation between rating_ and ratIng_2
2. Correlation between. cites and num_pubs
3. Correlation between cites and rating_l

ii. What is the relationship between the number of articles published and the overall quality of the instructor?

iii. Write a Results section based an your analysis of these data.

iv. Create a scatterplot matrix to show the relationships among the four variables.

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