2 In a mathematics class of ten students, the teacher wanted to determine how a homework grade influenced a student's performance on the subsequent test. The homework grade and
subsequent test grade for each student are given in the accompanying table.
Homework Grade
Test Grade
(۲)
94
98
95
94
92
95
87
89
82
85
80
78
75
73
65
67
50
45
20
40
A) Give the equation of the linear regression line for this set of data,
I
B) A new student comes to the class and earns a homework grade of 78. Based on
the equation in part a, what grade would the teacher predict the student would
receive on the subsequent test, to the nearest integer?​