Problem III. Suppose that we have a dataset that includes the ratings of 364 instructors at one large campus in the Midwest from Bleske-Rechek and Fritsch. Each instructor included in the data had at least 10 ratings over a several year period. Students provided ratings on 5 point scales. The first 6 rows of the data can be found in the following table. 1 2 3 numRaters quality helpfulness clarity 11 4.64 4.64 4.64 11 4.32 4.55 4.09 43 4.79 4.72 4.86 24 4.25 4.46 4.04 19 4.68 4.68 4.68 15 4.23 4.27 4.20 4 5 6 A description of the variables is listed as follows. numRaters: Number of ratings for each instructor. quality: Average quality rating, between 1, worst, to 5, best. helpfulness: Average helfpulness rating, between 1, worst, to 5, best. clarity: Average clarity rating, between 1, worst, to 5, best. 1. (4 points) Suppose that we aim to analyze how "quality" and "clarity are associated with student ratings of the helpfulness of an instructor's course. Specify a regression model that takes into account the values of "numRaters. Explain your choices. Problem III. Suppose that we have a dataset that includes the ratings of 364 instructors at one large campus in the Midwest from Bleske-Rechek and Fritsch. Each instructor included in the data had at least 10 ratings over a several year period. Students provided ratings on 5 point scales. The first 6 rows of the data can be found in the following table. 1 2 3 numRaters quality helpfulness clarity 11 4.64 4.64 4.64 11 4.32 4.55 4.09 43 4.79 4.72 4.86 24 4.25 4.46 4.04 19 4.68 4.68 4.68 15 4.23 4.27 4.20 4 5 6 A description of the variables is listed as follows. numRaters: Number of ratings for each instructor. quality: Average quality rating, between 1, worst, to 5, best. helpfulness: Average helfpulness rating, between 1, worst, to 5, best. clarity: Average clarity rating, between 1, worst, to 5, best. 1. (4 points) Suppose that we aim to analyze how "quality" and "clarity are associated with student ratings of the helpfulness of an instructor's course. Specify a regression model that takes into account the values of "numRaters. Explain your choices