The data below represent the results of a study of total scratch-off lottery ticket winnings in 2021 for thirteen people in Colonial Heights. The researchers hope to determine useful variables for predicting total scratch-off lottery ticket winnings. The variables investigated are: X₁-age of the person in years at end of 2021, X2-number of different locations visited to purchase lottery tickets in 2021, X3- amount won in dollars in December 2020, X4-number of tickets purchased in 2021, and Y-total 2021 winnings in dollars. Perform the complete appropriate analysis (i.e., choose the best model for predicting total winnings and check all assumptions) - be sure to fit the best model using a 10% significance level for any hypothesis tests. [You do not need to make any predictions.] X1 18 56 X2 5 12 X3 15 16 X4 40 85 42 > 28 22 19 43 31 9 14 6 2 5 17 18 12 18 21 69 90 83 28 41 87 79 609 444 872 543 35 96 702 518 Y 18 20 26 19 23 11 7 9 10 4 19 42 22 22 17 76 90 88 627 683 663 20 5 4 27 35

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The data below represent the results of a study of total scratch-off lottery ticket winnings in 2021 for
thirteen people in Colonial Heights. The researchers hope to determine useful variables for predicting
total scratch-off lottery ticket winnings. The variables investigated are: X₁-age of the person in years
at end of 2021, X2-number of different locations visited to purchase lottery tickets in 2021, X3-
amount won in dollars in December 2020, X4-number of tickets purchased in 2021, and Y-total 2021
winnings in dollars. Perform the complete appropriate analysis (i.e., choose the best model for
predicting total winnings and check all assumptions) - be sure to fit the best model using a 10%
significance level for any hypothesis tests. [You do not need to make any predictions.]
X1 18 56
28 22 19 43 31 18 20 26
12
9 14
6
2
5
11
7
16
17
18
12
18
21
19
42 22
85 69 90
83 28
41
87
79
76
609 444
35
96 702 518
627
X2 5
15
X4 40
* * * >
X3
Y 42
872 543
19
23
9 10 4
22
17
90
88
683
663
20
5
4
27
35
Transcribed Image Text:The data below represent the results of a study of total scratch-off lottery ticket winnings in 2021 for thirteen people in Colonial Heights. The researchers hope to determine useful variables for predicting total scratch-off lottery ticket winnings. The variables investigated are: X₁-age of the person in years at end of 2021, X2-number of different locations visited to purchase lottery tickets in 2021, X3- amount won in dollars in December 2020, X4-number of tickets purchased in 2021, and Y-total 2021 winnings in dollars. Perform the complete appropriate analysis (i.e., choose the best model for predicting total winnings and check all assumptions) - be sure to fit the best model using a 10% significance level for any hypothesis tests. [You do not need to make any predictions.] X1 18 56 28 22 19 43 31 18 20 26 12 9 14 6 2 5 11 7 16 17 18 12 18 21 19 42 22 85 69 90 83 28 41 87 79 76 609 444 35 96 702 518 627 X2 5 15 X4 40 * * * > X3 Y 42 872 543 19 23 9 10 4 22 17 90 88 683 663 20 5 4 27 35
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