Question

Being the civic-minded student that you are, you've become involved in a few volunteer positions in the local community. After working with these organizations for a year you become interested in the relationship between civic volunteering and life satisfaction, as your co-volunteers seem depressed. You think that volunteering with civic organizations may decrease a person's life satisfaction. You survey five of your friends on how many hours they spend volunteering in the past week and then record their life satisfaction scores that you obtain from a standardized survey that is assumed to have equal intervals throughout the scale. You obtain the following data from your participants: Subject ID Hours Volunteering Life Satisfaction 1 60 2 2 70 3 3 80 4 4 75 90 5 5 1. What is your hypothesis? 2. Calculate the appropriate correlation coefficient for your data, making sure to show your work with the equation editor (click on the pie symbol). 3. Based on your correlation, is there a relationship of any kind between your variables of interest? If so, what kind of relationship? 4. Calculate your regression equation and write out your final regression equation, making sure to show your work with the equation editor (click on the pie symbol). 5. What would be the predicted life satisfaction of someone who has volunteered for 7 hours? 6. Calculate and interpret your coefficient of determination.

Answer 1

ANS

Thee is a relationship between hours spent volunteering and life satisfaction

2-7; conducting such a hypothesis test using this data is in appropriate. A hypothesis test requires a random sample and "five of my friends" is not a random sample from a large population