Please show all work and answer all questions! Show work!

The following homework questions are due by the end of the week (Sunday, Oct 9). All work should be shown and the assignment should be scanned and uploaded into the correct assignment tab in the Canvas site for the course. Show your work, the formulas used, and the substitutions to answer the questions about the following data: Can the number of times a college students eats out in a week be used to predict the number of pets a person has? To try to answer this, the following random subset of data were collected from our class's data: Eat out: W Pets: 0 0 3 0 : 1. Create a scatter plot of the data 2. Find the equation of the regression line 3. Calculate the correlation coefficient. 4. Is there a significant correlation between times eating out and pets? Use a-.05. 5. Calculate the coefficient of determination. What does this value say about the relationship between the number of times eating out and the number of pets? 6. What would you expect the number of pets for a person who eats out 3 times a week? 7. Create a 90% prediction interval for the number of pets for a person who eats out 3 times a week