Use the scatterplot from the Unit 4 assignment presenting the association between MLB payroll amounts in 2018 and their win totals to do the following:
- Calculate the least squares regression line y =????????+????y =mx+b , for the bivariate data. Sketch this line on the scatterplot: y y = ____________________________
- Compare the least squares regression line with the line of best fit defined in the Unit 4 assignment. Write a brief paragraph discussing the similarities and/or differences between the two.
- Calculate the residual for each of the data points. Enter them into the table below.
Team
2018 Payroll
(million $)
2018 Wins
Residual
Cubs
212
95
Yankees
205
100
Nationals
204
82
Red Sox
204
108
Giants
200
73
Angels
177
80
Dodgers
171
92
Astros
166
103
Cardinals
165
88
Mariners
153
89
Rockies
151
91
Mets
149
77
Phillies
145
80
Reds
134
67
Brewers
128
96
Indians
123
91
Braves
118
90
Twins
115
78
Diamondbacks
108
82
Rangers
107
67
Tigers
105
64
Royals
103
58
Athletics
103
97
White Sox
91
62
Orioles
80
47
Pirates
76
82
Padres
76
66
Blue Jays
71
73
Marlins
71
63
Rays
53
90
- Create a residual plot from the data.
- Sketch a line at y = 15 and y = -15 on this residual plot.
- Which teams line outside of this range? Identify these as outliers and classify them as overperformers or underperformers.
Your project will be graded based on the following rubric:
