Question

The sample study below shows the number of miles you can run and the effect it has on reducing your blood pressure level. = 0.05 (5%)

Miles Run	Blood Pressure Level
2.5	80
3	78
3.5	74
4	66
4.5	64
5	62
5.5	60

1. Derive the equation for least square regression line.

2. If you ran zero/no mile what would be your blood pressure?

3. If you ran 6 miles what would be your blood pressure?

4. To have a blood pressure of zero how many miles do you need to run?

5. To have a blood pressure of 100 how many miles do you need to run?

6. Find and explain the value for the coefficient of correlation (‘r) in the context of the question.

7. Find and explain the value for the coefficient of determination (‘r²) in the context of the question.

Answer 1

Solution:

a)

b)

if zero/ no miles run

Blood Pressure Y = 98.2857 - 7.2857*0 = 98.2857

c)

For 6 miles run,

Blood pressure Y = 98.2857 - 7.2857*6 = 5.5715

d)

Y = 98.2857 - 7.2857X

Let Y = 0

0 = 98.2857 - 7.2857X

X = 98.2857 / 7.2857 = 13.4902

To have bood pressure of zero, you have to run 13.4902 miles.

e)

Y = 98.2857 - 7.2857X

Let Y = 100

100 = 98.2857 - 7.2857X

X = 98.2857 - 100 / 7.2857 = -0.2353

To have bood pressure of 100, you have to run -0.2353 miles.

f)

g)

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