Question

The number of hours 6 students watched television during the weekend and the scores of each students who took a test the following Monday are tabulated below.

Note: X= hours watched, Y=test score

a) find the prediction equation

b) predict the test score for 2.5 hours of TV watching.

0-93

1-86

2-82

3-74

4-84

5-72

Answer 1

Solution:

a)

Given: X= hours watched, Y=test score

Creating table for calculation:

Following things to be calculated:

Therefore, the regression coefficients (the slope b, and the y-intercept a) are obtained as follows:

Hence, prediction equation is,

Test score = 90.3333-3.4*hours watched

b)

To predict the test score for 2.5 hours of TV watching

So, Test score = 90.3333-3.4*2.5

Test score = 81.833382

Done