Question

You are interested in assessing the relationship between hours volunteering with a civic organization and happiness. You survey four of your friends on how many hours they spend volunteering in the past week and find an average of 2.5 hours. You then record their life satisfaction scores that you obtain from a standardized survey that is assumed to have equal intervals throughout the scale, and find an average life satisfaction of 72.25. You obtain the following data from your participants and compute your Pearson's r to be 0.93. Subject | Hours Volunteering | Life Satisfaction 1 | 1 | 60 2 | 2 | 70 3 | 3 | 80 4 | 4 | 79 a. What is your slope? (3 points) b. What is your intercept? (3 points) c. What is your regression equation? (3 points) d. Based on your correlation, and no other calculations, do you expect a lot of prediction error from your regression line and why? (4 points) e. What would be the predicted life satisfaction of someone who has volunteered for 7 hours? (4 points) f. What would be the predicted life satisfaction of someone who has volunteered for 2 hours? (4 points) g. What would be your specific prediction error for someone who has volunteered for 2 hours? How do you know? (4 points)

          You are interested in assessing the relationship between hours volunteering with a civic
organization and happiness. You survey four of your friends on how many hours they spend
volunteering in the past week and find an average of 2.5 hours. You then record their life
satisfaction scores that you obtain from a standardized survey that is assumed to have equal
intervals throughout the scale, and find an average life satisfaction of 72.25. You obtain the
following data from your participants and compute your Pearson's r to be 0.93.

Subject | Hours Volunteering | Life Satisfaction
1 | 1 | 60
2 | 2 | 70
3 | 3 | 80
4 | 4 | 79

a. What is your slope? (3 points)
b. What is your intercept? (3 points)
c. What is your regression equation? (3 points)
d. Based on your correlation, and no other calculations, do you expect a lot of prediction
error from your regression line and why? (4 points)
e. What would be the predicted life satisfaction of someone who has volunteered for 7
hours? (4 points)
f. What would be the predicted life satisfaction of someone who has volunteered for 2
hours? (4 points)
g. What would be your specific prediction error for someone who has volunteered for 2
hours? How do you know? (4 points)

You are interested in assessing the relationship between hours volunteering with a civic
organization and happiness. You survey four of your friends on how many hours they spend
volunteering in the past week and find an average of 2.5 hours. You then record their life
satisfaction scores that you obtain from a standardized survey that is assumed to have equal
intervals throughout the scale, and find an average life satisfaction of 72.25. You obtain the
following data from your participants and compute your Pearson's r to be 0.93.

Subject | Hours Volunteering | Life Satisfaction
1 | 1 | 60
2 | 2 | 70
3 | 3 | 80
4 | 4 | 79

a. What is your slope? (3 points)
b. What is your intercept? (3 points)
c. What is your regression equation? (3 points)
d. Based on your correlation, and no other calculations, do you expect a lot of prediction
error from your regression line and why? (4 points)
e. What would be the predicted life satisfaction of someone who has volunteered for 7
hours? (4 points)
f. What would be the predicted life satisfaction of someone who has volunteered for 2
hours? (4 points)
g. What would be your specific prediction error for someone who has volunteered for 2
hours? How do you know? (4 points)

Added by Daniel H.

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