*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*.

Based on intuitive logic, one would expect a negative relationship between the number of cups of coffee an individual drinks and the fewer 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*

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.