Question

Statistics Problem:

You have been asked to engage in one final project for the political organization for which you have been working. This time you wish to study the nature of the relationship between the ages of the donors to the campaign and the amount of money they plan to donate or have donated. Data is collected from a random sample of supporters of the candidate. This data is shown on the next page. Various questions need to be answered about the results you generate. These questions follow the presentation of the data. You should answer the questions posed in the narrative that should accompany your results.

Data:

                        Age of Supporter                              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:

e)        Use your regression equation in order to predict the donation for a supporter who is 30 years old. Do the same for a supporter who is 80 years old. Do you have any concerns with either of these predictions? State a reason or reasons for any concerns you might have.

f)          Find the sample coefficient of determination for the above data. Explain its meaning relative to the problem.

g)        Find the adjusted sample coefficient of determination for the above data. Explain its meaning relative to the problem. Why does it differ, if it does, from the coefficient of determination that you found in the previous part of the problem?

Answer 1

after loading the data in R form excel we can perform the analysis and code , output along with explaination is given below.