Refer to Figure 9. What final course percentage is predicted by the model for a

Question

Refer to Figure 9. What final course percentage is predicted by the model for a student who scores 8 points on the first quiz, and 82 points on the first exam? Use the full precision of the available data in your calculation.

Figure 9. A model was desired that would help assess the likelihood of student success in QUAN 2010, based on performance early in the course. The model that was developed (regression output shown below) forecasts the final percent grade in the course, given the scores on Quiz 1 and Exam 1. SUMMARY OUTPUT (Quiz 1 and Exam 1 vs Course Regression Statistics Multiple R 0.57 R Square 0.33 Adjusted R Square 0.29 0.13 Standard Error Observations 39 ANOVA Significance MS SS Regression 0.2940 0.1470 8.8355 0.0008 0.5990 0.0166 Residual 36 0.8931 Total Standard t Stat P-value Lower 95% Coefficients Error 0.2113 0.3953 0.6950 Intercept -0.0835 0.5121 Exam 1 0.0008 0.0023 2.3967 0.0219 0.0055 0.0036. 0.0301 Quiz 1 0.0131 2.3033 0.0271

Explanation / Answer

From the given output,

Regression equation will be:

Course % = -0.0835 + 0.0055 (Exam 1) + 0.0301 (Quiz 1)

For this problem,

Quiz 1 = 8

Exam 1 = 82

So,

Course % = -0.0835 + 0.0055 (82) + 0.0301 (8)

Course % = 0.6083

Hence,

Course % = 60.83%

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