Because of the popularity of social media among college students, there is a great deal of interest in the relation between Facebook use and academic performance.

To investigate this relation, an extensive study of over 1700 students was conducted at a public university in the northeast. For one semester the time (in minutes) spent each day on Facebook was recorded for each student. The students also agreed to allow their GPA for that semester to be used in the study.

The daily mean time spent on Facebook by the students wasx=80minutes with standard deviation s_x=18minutes. The semester GPA of the participating students had meany=2.95and standard deviation s_y=0.9. The correlation between time spent on Facebook and GPA wasr=-0.75.

Question 1. Calculate the slope b₁and intercept b₀of the least squares prediction line= b₀+ b₁xwhere thex-variable is time spent on Facebook and they-variable is GPA.

slope (use 4 decimal places in your answer)

intercept (use 4 decimal places in your answer)

Question 2. What is the predicted GPA of a student that spends80minutes a day on Facebook?

(use 2 decimal places in your answer)

Question 3. What is the change in GPA for each additional 10 minutes per day spent on Facebook?

Adecreaseof 0.0375

Anincreaseof 0.0375

Adecreaseof 0.375

Anincreaseof 0.375

Anincreaseof 3.75

Adecreaseof 3.75