Question

Run a regression analysis on the following data set, where is the final grade in a math class and is the average number of hours the student spent working on math each week.

hours/week
x Grade
y
5 60
5 49
5 50
6 59.4
6 58.4
11 73.4
13 88.2
14 73.6
15 83
19 90.6


State the regression equation , with constants accurate to two decimal places.

Answer 1

The regression equation after the analysis is

y = 2.78x + 41

How to find the regression equation

The regression analysis was done using a graphing calculator. This is achieved by plotting the points.

The regression equation is equation of the form

y = b₁x + c

where

b₁ = regression coefficient

c = regression constant

According to the problem the points plotted are

x y

5 60

5 49

5 50

6 59.4

6 58.4

11 73.4

13 88.2

14 73.6

15 83

19 90.6

With graphing calculator, the information is as follows

b₁ = 2.75

c = 41

Substituting into the equation results to

y = 2.78x + 41

The image of the plot is attached