Posted by **NAD** on Monday, November 25, 2013 at 3:36pm.

In a study of caffeine and stress, college students indicate how many cups of coffee they drink per day and their stress level on a scale of 1-10. The data appear below.

Number of Cups of Coffee

Stress Level

3

5

2

3

4

3

6

9

5

4

1

2

7

10

3

5

= 3.88

X= 5.13

s = 2.03

s = 2.90

Determine the regression equation for predicting stress level from the amount of coffee per day one consumes.

Predict the stress level for someone who drinks 8 cups of coffee a day.

- statistics -
**MathGuru**, Monday, November 25, 2013 at 6:25pm
If you need to show the work by hand, you can develop the regression equation in the following format:

predicted y = a + bx

...where a represents the y-intercept and b the slope.

To get to that point, here are some formulas to calculate along the way.

To find a:

a = (Ey/n) - b(Ex/n)

Note: E means to add up or to find the total.

To find b:

b = SSxy/SSxx

To find SSxy:

SSxy = Exy - [(Ex)(Ey)]/n

To find SSxx:

SSxx = Ex^2 - [(Ex)(Ex)]/n

Note: x = cups of coffee; y = stress level

Once you have the equation, substitute 8 for x, then solve for predicted y.

I hope this will help get you started.

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