# Question

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.

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