1.Is there a statistically significant relationship between the two variables? D
ID: 3264621 • Letter: 1
Question
1.Is there a statistically significant relationship between the two variables? Describe the relationship in terms of strength and direction. Show your work by including the JMP output
2. Develop a linear model of this relationship. Include the JMP output file.
3. Is this a valid model to describe this relationship? Describe the fit of the model. Include the JMP output file.
Year
Retired Aged Population
Disabled population
1966
19.1
0
1970
20.4
0
1975
22.7
2.2
1980
25.5
3
1985
28.1
2.9
1990
31
3.3
1995
33.2
4.4
2000
34.3
5.4
2005
35.8
6.8
2010
39.6
8.1
2011
40.5
8.4
2012
42.2
8.6
2013
43.5
8.8
2014
45
9
Year
Retired Aged Population
Disabled population
1966
19.1
0
1970
20.4
0
1975
22.7
2.2
1980
25.5
3
1985
28.1
2.9
1990
31
3.3
1995
33.2
4.4
2000
34.3
5.4
2005
35.8
6.8
2010
39.6
8.1
2011
40.5
8.4
2012
42.2
8.6
2013
43.5
8.8
2014
45
9
Explanation / Answer
P- value is less than 0.05. So there is a significant relationship between the two variables.
SUMMARY OUTPUT Regression Statistics Multiple R 0.982635 R Square 0.965572 Adjusted R Square 0.962703 Standard Error 0.627885 Observations 14 ANOVA df SS MS F Significance F Regression 1 132.6813 132.6813 336.5497 3.81E-10 Residual 12 4.730876 0.39424 Total 13 137.4121 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -6.98484 0.677895 -10.3037 2.59E-07 -8.46184 -5.50783 -8.46184 -5.50783 Retired Aged Population 0.365996 0.01995 18.34529 3.81E-10 0.322528 0.409465 0.322528 0.409465Related Questions
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