A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in
the accompanying table. Write the linear regression equation that
represents this set of data, rounding all coefficients to the nearest
hundredth. Using this equation, estimate the homework grade, to the
nearest integer, for a student with a test grade of 78.
Homework
Grade (x)
Test Grade
(y)
83
80
75
62
75
67
63
54
74
78
71
69
89
81
What is the slope m=
What is the y-intercept b =
What is the correlation r =
(rounded to three decimal places use 0