Question

In: Statistics and Probability

Can we predict the running time for Mr. Degges when he runs 3.1 miles on the...

Can we predict the running time for Mr. Degges when he runs 3.1 miles on the track at the NDSU Wellness center?

Need: SAS output to analyze the model

Need: prediction equation

y-hat

SSE SST, error, F-test

What variables are significant

The variables are: Y = running time in minutes X1 = weight at the time of running X2 = number of days between running events

Year X1 X2 Y

2009 191.2 1 29.0

2009 192 1 27.80

2009 190.4 2 28.53

2009 190.4 3 28.10

2009 190.6 2 28

2009 190.6 0 27.43

2009 190.2 0 28

2009 191.8 1 27.27

2009 189.2 12 30.52

2009 189.2 0 28.95

2009 190.2 2 29.08

2015 168.6 14 29.92

2015 166.2 4 29.83

2015 165.0 2 28.37

2015 169.8 6 27.25

2015 169.4 4 27.85

2015 167.2 3 27.58

2015 166.6 2 27.10

Expert Solution

	R²	0.420
	Adjusted R²	0.343
	R	0.648
	Std. Error	0.809
	n	18
	k	2
	Dep. Var.	Y

ANOVA table
Source	SS	df	MS	F	p-value
Regression	7.1197	2	3.5598	5.43	.0168
Residual	9.8266	15	0.6551
Total	16.9462	17


Regression output
variables	coefficients	std. error	t (df=15)	p-value
Intercept	23.4215
X1	0.0240	0.0181	1.329	.2038
X2	0.1780	0.0541	3.291	.0049

The model is significant.

X2 is significant.

The prediction equation is:

Y = 23.4215 + 0.0240*X1 + 0.1780*X2

orchestra answered 2 years ago

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