Can you predict final examination scores based on the number of hours studying, major, gender, and current GPA? For a random sample of 17 students, their exam grade (on a scale of \(0-100\) ), the number of hours they spent studying for the final exam (rounded to the nearest hour), their gender, and current GPA (on a scale of 0-4.00) are presented in Table 9.8.

a. Which variables are continuous and which variables are discrete (nominal/ ordinal)?

b. Write the population regression equation.

c. Write the estimated regression equation.

d. Is the overall model useful in predicting the final exam grades?

e. What are the effects of each of the different predictor (independent) variables? Interpret any and all significant effects.

f. Find and interpret the coefficient of determination.
g. Determine whether any of your predictor variables are highly correlated with each other.
h. Do you think the given model is a good model for predicting final exam grades? Justify your answer.

Table 9.8

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Final Examination Grade, Number of Hours they Spent Studying, Major, Gender, and Current GPA for a Random Sample of 17 Students Exam Grade 83 Hours Studying 10 Major Gender Current GPA Business Male 3.41 70 49 64 87 74 90 48 73 97 51 82 85 86 57 63 66 83226 +2882680254 Engineering and science Male 2.98 Liberal arts Female 2.64 7 Liberal arts Male 3.12 12 Liberal arts Female 3.68 Engineering and science Female 3.45 14 Business Male 3.8 Business Male 1.87 Engineering and science Male 2.74 18 Liberal arts Female 3.28 Business Female 1.48 Business Male 3.1 Liberal arts Female 3.3 10 Liberal arts Male 3.56 Engineering and science Male 1.98 Engineering and science Female 2.4 Liberal arts Male 2.95