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Season Payroll Runs Wins 2000 16.5 748 69 2001 23.8 771 85 2002 39.9 768 94 2003

ID: 3046941 • Letter: S

Question

Season

Payroll

Runs

Wins

2000

16.5

748

69

2001

23.8

771

85

2002

39.9

768

94

2003

55.3

801

90

2004

53.8

780

92

2005

56.6

688

93

2006

65

801

96

2007

72.2

718

79

2008

61.4

829

88

2009

67

817

87

2010

98.2

851

94

2011

113.2

619

63

2012

100.4

701

66

2013

82

614

66

2014

92.9

705

70

2015

108.3

696

83

2016

105.3

722

59

2017

108.1

815

85

Stats Lab

Let’s look at a few regressions to see if we can figure out why the Twins are lousy.

1) Scatterplots

                We need to create some scatterplots and add the regression lines to them.

                                1) Highlight the two columns of data that you want to plot together

                                                (the one on the left defaults to x and the right is y)

                                2) Choose “Insert” and “Recommended Charts” and “Scatterplot”

                                3) Click on any data point on the chart and choose

“add trendline” from the right-click menu

                                4) Choose Linear

Put the requested Plots below

Questions:

                Do these scatterplots look like a good fit for the data? Explain

Which do you think does a better job? Why?

2) Running Regressions

               

Choose: Data->Data Analysis -> Regression

Runs vs Wins(with constant)                              Runs vs Wins (Without Constant)

Model:                                                                     Model:

Rsq:                                                                           Rsq:   

Payroll vs Wins (With Constant)                        Payroll vs Wins (Without Constant)

Model:                                                                      Model:

Rsquer:                                                                     Rsquer:

Questions

Which appears to be the best model for predicting Wins? Explain

What does the Payroll vs Runs tell you? Explain

Season

Payroll

Runs

Wins

2000

16.5

748

69

2001

23.8

771

85

2002

39.9

768

94

2003

55.3

801

90

2004

53.8

780

92

2005

56.6

688

93

2006

65

801

96

2007

72.2

718

79

2008

61.4

829

88

2009

67

817

87

2010

98.2

851

94

2011

113.2

619

63

2012

100.4

701

66

2013

82

614

66

2014

92.9

705

70

2015

108.3

696

83

2016

105.3

722

59

2017

108.1

815

85

Explanation / Answer

Solution :

Scatter plots :

Payroll Vs wins

Runs Vs wins

From above two scatter plot , we can observe that, the second sctter plot (Runs VS wins) is good fit for data , as all points are close to the best fitted line and also it shows increasing pattern,so they are positively correlated.

From the runs VS wins scatter plot ,as runs increases number of wins increases,so here making more runs turns into winnings.

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