# Answer on Statistics and Probability Question for ADANE HAILU

Question #19607

A number of years ago, the student association of a large university published an evaluation of several hundred courses taught during the preceding semester. Students in each course had completed a questionnaire in which they rated a number of different aspects of the course on a 5-point scale (1= very bad to 5=excellent). Three variables obtained are:

overall – overall rating of the course.

teach – rating of teaching skills of the instructor.

know – rating of the instructor’s knowledge of the material

Overall teach know

3.4 3.8 4.5

2.9 2.8 3.8

2.6 2.2 3.9

3.8 3.5 4.1

3.0 3.2 3.5

2.5 2.7 4.2

3.9 4.1 4.5

4.3 4.2 4.7

3.8 3.7 4.1

3.4 3.7 4.1

2.8 3.3 3.9

2.9 2.2 3.9

4.1 4.1 4.0

2.7 3.1 4.1

3.9 2.9 4.5

Required from the above data:

1. Compute the correlations between the three variables.

2. Conduct multiple regression analysis to predict overall rating of the course from rating of teaching skills of the instructor and rating of the instructor’s knowledge of the material (Find the R2, and the m

overall – overall rating of the course.

teach – rating of teaching skills of the instructor.

know – rating of the instructor’s knowledge of the material

Overall teach know

3.4 3.8 4.5

2.9 2.8 3.8

2.6 2.2 3.9

3.8 3.5 4.1

3.0 3.2 3.5

2.5 2.7 4.2

3.9 4.1 4.5

4.3 4.2 4.7

3.8 3.7 4.1

3.4 3.7 4.1

2.8 3.3 3.9

2.9 2.2 3.9

4.1 4.1 4.0

2.7 3.1 4.1

3.9 2.9 4.5

Required from the above data:

1. Compute the correlations between the three variables.

2. Conduct multiple regression analysis to predict overall rating of the course from rating of teaching skills of the instructor and rating of the instructor’s knowledge of the material (Find the R2, and the m

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