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Students in a management science class have just received their grades on the first test. The instructor has provided information about the first...

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1. Students in a management science class have just received their grades on the first test. The instructor has provided information about the first test grade in some previous classes as well as the final average for the same students. Some of these grades have been sampled and are as follows: Student Final Average First Test Grade 1 93 98 2 78 77 3 84 88 4 73 80 5 84 96 6 64 61 7 64 66 8 95 95 9 76 69 (a) Develop a regression model that could be used to predict the final average in the course based on the first test grade. (b) Predict the final average of a student who made an 83 on the first test. (c) Give the values of r and r ² for this model. Interpret the value r of in the context of this problem. 2. Using the data in Problem 1, test to see if there is a statistically significant relationship between the grade on the first test and the final average at the 0.05 level of significance. 3. Using computer software, find the least squares regression line for the data in Problem 1. Based on the F test, is there a statistically significant relationship between the first test grade and the final average in the course?
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