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".

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.