Jason believes that the sales of coffee at his coffee shop depend upon the weather. he has taken a sample of 6 days. below you are given the results of the sample.

cups of coffee sold temperature

350 50

200 60

210 70

100 80

60 90

40 100

a. which variable is the dependent variable?

b. develop a scatter diagram and explain what it shows regarding the relationship between sales and temperature.

c. compute and interpret the least squares estimated line.

d. intepret the coeeficient of determination between temperature and the sales of coffee.

e. is there a significant relationship between the sales of coffee and temperature? use a .05 level of significance. be sure to state the null and alternative hypotheses.

f. predict sales of a 90 degree day.

g. develop a 95% confidence interval for predicting the average sales of a 90 degree day.

h. how would a 95% prediction interval for an individual value of cups sold on a 90 degree day compare with your results in part "g".