1. A linear regression was run to examine the effect of time spent studying per

Question

1. A linear regression was run to examine the effect of time spent studying per day (in minutes) on test grades. 45 students reported their grade on a math test (in points, ranging from 0 to 100) and the time they spent studying. b. After running the regression model, the estimated coefficient is 0.035 with a p-value of 0.01. What does the coefficient represent?

2. A linear regression was run to examine the effect of time spent studying per day (in minutes) on test grades. 45 students reported their grade on a math test (in points, ranging from 0 to 100) and the time they spent studying. c. The estimated intercept is 72. Student A spent 200 minutes studying. What grade would you expect him to have based on this model?

Explanation / Answer

Question 1 Here the coefficient 0.035 represents that if any random student will increase the time spent studying per day by one minute, it will improve his/her marks by 0.035 on the math test.

QUestion 2

Here the estimated intercept = 72

Here Time taken = 200 minutes

Here predicted grade on math test = 72 + 200 * 0.035 = 79

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