The following regression equation, y-bar = 53.9 + 8.4x , relates x = the number of hours a student studies for a test and y = the corresponding test score (in percents).
a. Explain the meaning of the y-intercept, 53.9. Include the values of the variables in your explanation.
b. Explain the meaning of the slope, 8.4. Include the values of the variables in your explanation.
c. If a student studies for 4.5 hours, predict his/her test score.
d. Explain the meaning of your prediction quantity in part (c). Include 'key' words when explaining a prediction.