# Question: A local ice cream parlor wants to determine whether the

A local ice cream parlor wants to determine whether the temperature has an effect on its business. The following table contains data on the temperature at 7PM on 10 rain-free weekend days during the summer and the number of customers served by this ice cream parlor.

a. With temperature as an independent variable and number of customers as a dependent variable, compute SSxx, SSyy, and SSxy.

b. Construct a scatter diagram for these data. Does the scatter diagram exhibit a positive linear relationship between temperature and the number of customers served?

c. Find the regression equation ŷ = a + bx

d. Give a brief interpretation of the values of a and b calculated in part c.

e. Compute the correlation coefficient r.

f. Predict the number of customers served on a rain-free weekend summer day when the temperature is 73 F. Returning to part b, how reliable do you think this prediction will be? Explain.

a. With temperature as an independent variable and number of customers as a dependent variable, compute SSxx, SSyy, and SSxy.

b. Construct a scatter diagram for these data. Does the scatter diagram exhibit a positive linear relationship between temperature and the number of customers served?

c. Find the regression equation ŷ = a + bx

d. Give a brief interpretation of the values of a and b calculated in part c.

e. Compute the correlation coefficient r.

f. Predict the number of customers served on a rain-free weekend summer day when the temperature is 73 F. Returning to part b, how reliable do you think this prediction will be? Explain.

**View Solution:**## Answer to relevant Questions

Mutiple choice questions: 1. A simple regression is a regression model that contains a. Only one independent variable b. Only one dependent variable c. More than one independent variable d. Both a and b 2. The relationship ...Refer to Exercise A.8. Suppose the professor obtains a list of all students enrolled at the university from the registrar’s office and then selects 150 students at random from this list using a statistical software package ...Refer to Exercise A.18. Now suppose that neither patients nor doctors knew what group patients belonged to. a. Is this an observational study or a designed experiment? Explain. b. Is this study a double-blind study? Explain. Explain the difference between a sample survey and a census. Why a sample survey is usually preferred over a census? A statistics professor wanted to find out the average GPA (grade point average) for all students at her university. She used all students enrolled in her statistics class as a sample and collected information on their GPAs ...Post your question