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Correlation and Regression Example solutions

Correlation and Regression Example solutions A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their fiaal course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's ttal is recorded along with their final grade. The data follow in Table 1. Table 1: Course grade versus the 1) For this setting identify the response number of optional homework variable. problems completed. Course Grade Problems CourseGrade Prb*Grd 2) For this setting, identify the predictor 51 62 3162. variable. 58 68 3944. 62 66 4092. # of optional homework 65 66 4290. problems completed 68 67 4556. 76 72 5472. 3) Compute the linear Correlation 77 73 5621. coefficient r for this data set 78 72 5616.

3) Compute the linear correlation coefficient – r – for this data set See calculations on page 2 4) Classify the direction and strength of the correlation Moderate Positive 5) Test the hypothesis for a significant linear correlation. α = 0.05 See calculations on page 2 6) What is the valid prediction range for this setting?

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