Assignment 5 | Statistics homework help

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:

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