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Imagine that you are interested in whether there is a relationship between the amount of coffee people drink and the number of hours they sleep each night. Determine whether you expect a positive or a negative relationship between the cups of coffee people drink and the number of hours they sleep.

• Ask 12 friends or family members how many cups (approximately 8 oz.) of coffee they drink each day and how many hours they sleep each night. Create a table that includes each participant, a column for cups of coffee, and a column for sleep that looks something like this:

Participant        Cups of Coffee (X)        Hours of Sleep (Y)

Erik                              4                                  7

Joe                               3                                  8

Ted                              1                                  6

Jose                              3                                  9

Victor                           3                                  5

Claire                           0                                  7

Suzanne                        2                                  9         

Jorge                            4                                  8         

Dan                              6                                  6

Jayeoon                        2                                  12

Hwangjin                      4                                  4         

Erika                            2                                  9

• Create a scatter diagram using Figure 10.1 as a guide. Draw a line through the scatter diagram.

Post the list of scores for your participants. Then respond briefly to each of the following questions about your findings:

• What does your scatter diagram look like? Briefly describe it.

The data points are relatively concentrated together with a few vertical outliers.  The intercept was 8.265, and the coefficient for coffee was -.3976.

• Based on your prediction about the relationship between the amount of coffee people drink and the number of hours they sleep, what is your H0 and what is your HA ?

My prediction is correct- they had a negative relationship as the coefficient for coffee is a negative. 

• Did you find a positive linear relationship or a negative linear relationship? How do you know?

Weak negative relationship- the correlation coefficient is -.30.

• If you were pursuing this study, what calculations would you perform to describe this relationship and why?

Correlation coefficient- to understand correlation between variables

Bivariate Regression- it would help to understand what the average cup of coffee does to total sleeping time

• Without completing the calculations, assume that you obtained a significant result. What would you conclude?

I would conclude that drinking coffee  is correlated with fewer hours of sleep. 

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