Question

A study was done to determine if the number of days a student is absent affects their final grade. The following data was obtained:

Number of Days Absent     10     12&nbs p;    2     0     8     5     2     4     6     9
Final Grade     70     65  &nbs p;  96     94     75     82     88     87     82     73

The r square value of the linear regression analysis = 0.954

The ANOVA Table is:
     df     SS     MS     F
Regression     1     913.8     913.8     167.0
Residual     8     43.8     5.5     
Total     9     957.6           

The Linear Coefficients are:
     Coefficients
Intercept     96.1
X Variable 1     -2.6

a) Do the results indicate that there is a correlation between days absent and final grade? (and tell me how you determined your answer)

b)     Write the linear regression equation.

c)     Use this equation to predict the final grade is a student was absent 7 days.

d)     Use this equation to predict the final grade is a student was absent 1 day.