Statistics Problem:
You have been asked to engage in one final project for thepolitical organization for which you have been working. This timeyou wish to study the nature of the relationship between the agesof the donors to the campaign and the amount of money they plan todonate or have donated. Data is collected from a random sample ofsupporters of the candidate. This data is shown on the next page.Various questions need to be answered about the results yougenerate. These questions follow the presentation of the data. Youshould answer the questions posed in the narrative that shouldaccompany your results.
Data:
Age ofSupporter Donation
22 $ 75
38 135
50 100
46 50
60 200
28 0
25 10
69 35
75 75
28 100
55 250
37 100
36 100
43 125
35 0
19 0
48 50
70 25
31 115
30 105
Questions:
l) Find a95% confidence interval for the slope of the population regressionline. Provide an explanation of the meaning of this interval. Showhow this interval can be used in order to answer the question posed(at the 5% level of significance) in the previous part of theproblem.
m) Find a 95% confidenceinterval for the mean donation for supporters of the candidate whoare 30 years of age. Provide an explanation of the meaning of thisinterval.
n) Suppose a 95%confidence interval for the mean donation for supporters of thecandidate who is 50 years of age is desired. Find this interval,explain its meaning, and compare its width to that of the intervalcomputed in the previous part of the problem. Give a reason for anydifference in the width between this interval and the one in theprevious part of the problem.
o) Find a 95%prediction interval for the donation of an individual supporter ofthe candidate who is 30 years of age. Explain its meaning relativeto the problem. Compare the width of this interval to that of theinterval calculated in part m) of the problem. Give a reason forany difference in the width of this interval and the one you foundin part m) earlier.
