statistics

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.

1. 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.

posted by MathGuru

First Name

Similar Questions

1. Stats

1. 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
2. Statistics: Calculate a Pearson's r

In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their stress level on a scale of 1 to 10. The data are provided in the following table. Number of Cups of Coffee 3, 2, 4,
3. Statistics

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 to 10. The date follow: Number of Cups of Coffee 3,2,4,6,5,1,7,3 Stress Level
4. statistics

6. In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their current stress level on a scale of 1 to 10. The table shows the survey results. Using a web-calculator, obtain
5. Statistics

In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their current stress level on a scale of 1 to 10. The table shows the survey results. Using a web-calculator, obtain the
6. Statistics

In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their current stress level on a scale of 1 to 10. Obtain the appropriate correlation coefficents.
7. Research and Statistics

5. The table below shows Psychology exam scores, Statistics Exam scores, and IQ scores for a random sample of students. What can you observe in the relationship between IQ and psychology, psychology and statistics, and IQ and
8. statistics

4. Suppose you administered an anxiety test to a large sample of people and obtained normally distributed scores with a mean of 45 and standard deviation of 4. Do not use web-calculator to answer the following questions. Instead,
9. Statistics: Percentile Rank

A survey of college students was conducted during final exam week to assess the number of cups of coffee consumed each day. The mean number of cups was 5 with a standard deviation of 1.5 cups. The distribution was normal. A. What
10. statistics

A survey of college students was conducted during final exam week to assess the number of cups of coffee consumed each day. The mean number of cups was 5 with a standard deviation of 1.5 cups. The distribution was normal. a. What

More Similar Questions