Erik believes that students are distracted by their phones and hence students are not performing as well in class. Students are asked to install an app on their phone that tracks the number of times they look at their phone per day. Test to see if there is a relationship between the number of times a student checks their phone and a student's quiz score using α\displaystyle \alpha = 0.05. The student data is displayed in the table and graph below. Do not round between steps. Round answers to at least 4 decimal places. 

Phone Check-Ins (x)1823375758727581
Quiz Grade (y)7.16.54.95.83.85.43.43.6

10203040506070809010011012345678910-1Phone Check-InsGrade

a) Find the correlation coefficient. 

b) Find the p-value to test to see if there is a significant correlation. 

c) Is the correlation significant? 

Even if the relationship is not significant answer the following:

d) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. y^\displaystyle \hat{{y}} =  

e) Interpret the slope in context.

f) What does the equation predict for the grade for with 72 phone check-ins?

g) What is the residual for the point (72,5.4)? points

h) Find the 95% prediction interval for the grade for a student that has 72 phone check-ins.

    < y <  points