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I am not sure how to answer b, c and d. Q3 12 Marks Age Weight A researcher is interested in determining if age predicts
I am not sure how to answer b, c and d.
Q3 | 12 Marks | Age | Weight | ||||||||||||
A researcher is interested in determining if age predicts weight or not. | 54 | 65 | |||||||||||||
The table to the right indicate the age and weights of the people (14) in the sample. | 62 | 92 | |||||||||||||
80 | 82 | ||||||||||||||
25 | 74 | ||||||||||||||
a) Run simple regression analysis using Excel. | 2 Mark | 28 | 76 | ||||||||||||
Note: use 95% confidence level. | 29 | 71 | |||||||||||||
62 | 79 | ||||||||||||||
b) Is age a significant determinant of weight? Explain. | 3 Marks | 64 | 85 | ||||||||||||
47 | 82 | ||||||||||||||
c) What is amount of variation in weight that is explained by age? Explain. | 4 Marks | 49 | 62 | ||||||||||||
52 | 64 | ||||||||||||||
d) What is the expected weight of a person who is 56 years old? | 3 Marks | 35 | 54 | ||||||||||||
36 | 73 | ||||||||||||||
91 | 83 | ||||||||||||||
a) | |||||||||||||||
SUMMARY OUTPUT | |||||||||||||||
Regression Statistics | |||||||||||||||
Multiple R | 0.48539918 | ||||||||||||||
R Square | 0.23561237 | ||||||||||||||
Adjusted R Square | 0.1719134 | ||||||||||||||
Standard Error | 9.4953326 | ||||||||||||||
Observations | 14 | ||||||||||||||
ANOVA | |||||||||||||||
df | SS | MS | F | Significance F | |||||||||||
Regression | 1 | 333.4924782 | 333.4925 | 3.698841 | 0.078498257 | ||||||||||
Residual | 12 | 1081.936093 | 90.16134 | ||||||||||||
Total | 13 | 1415.428571 | |||||||||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | ||||||||
Intercept | 61.325246 | 7.270437818 | 8.434877 | 2.18E-06 | 45.48432282 | 77.166169 | 45.4843228 | 77.16616921 | |||||||
Age | 0.25692795 | 0.133591403 | 1.923237 | 0.078498 | -0.03414271 | 0.5479986 | -0.0341427 | 0.547998612 |
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