(a) Find the equation of the least-squares line with x = representative age and y = average swim distance. (Round your numerical values to three decimal places.) (b) Compute the seven residuals. (Round your answers to three decimal places.) Representative Age (x) Residual (meters) 25 35 45 55 65 75 85

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A research paper describes a study of the relationship between age and 1-hour swimming performance. Data on age and swim distance for over 10,000 men participating in a national long-distance
1-hour swimming competition are summarized in the accompanying table.
Representative Age
(Midpoint of Age Group)
Average Swim Distance
(meters)
Age Group
20-29
25
3913.5
30-39
35
3718.8
40-49
45
3579.4
50-59
55
3351.9
60-69
65
3000.1
70-79
75
2639.0
80-89
85
2118.4
(a) Find the equation of the least-squares line with x = representative age and y = average swim distance. (Round your numerical values to three decimal places.)
+
(b) Compute the seven residuals. (Round your answers to three decimal places.)
Representative
Age (x)
Residual (meters)
25
35
45
55
65
75
85
Use the seven residuals to construct a residual plot.
Residual
Residual
Residual
200
200
200
100
100
100
- 100
-100
- 100
Transcribed Image Text:A research paper describes a study of the relationship between age and 1-hour swimming performance. Data on age and swim distance for over 10,000 men participating in a national long-distance 1-hour swimming competition are summarized in the accompanying table. Representative Age (Midpoint of Age Group) Average Swim Distance (meters) Age Group 20-29 25 3913.5 30-39 35 3718.8 40-49 45 3579.4 50-59 55 3351.9 60-69 65 3000.1 70-79 75 2639.0 80-89 85 2118.4 (a) Find the equation of the least-squares line with x = representative age and y = average swim distance. (Round your numerical values to three decimal places.) + (b) Compute the seven residuals. (Round your answers to three decimal places.) Representative Age (x) Residual (meters) 25 35 45 55 65 75 85 Use the seven residuals to construct a residual plot. Residual Residual Residual 200 200 200 100 100 100 - 100 -100 - 100
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