(2nd opinion) A linear regression was run to examine the effect of time spent st

Question

(2nd opinion) 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. (Please explain to help further my understanding)

a. What are the dependent and independent variables?

b. After running the regression model, the estimated coefficient is 0.035 with a p-value of 0.01. What does the coefficient represent?

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

Solution-A:

Dependent Variable: Grade obtained on Math Test (in points)

Independent Variable: Time spent studying per day (in minutes)

Solution-B:

Interpretation of Coefficient: The estimated coefficient in 0.035 which means that for one minute increase in time spent studying per day, the grade obtained on Math test increases by 0.035 points. Similarly, for one minute decrease in time spent studying per day, the grade obtained on Math test decreases by 0.035 points.

Solution-C:

Intercept = 72

Time spent studying = 200 minutes

Expected Grade Obtained = 72 + 200 x 0.035 = 79

A:

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