1. Using the FEV dataset, determine the pairwise correlations of Age, FEV, and H
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Question
1. Using the FEV dataset, determine the pairwise correlations of Age, FEV, and Height (Hgt).
(Here's the Excel link of the FEV dataset (I use STATA)--> https://drive.google.com/open?id=1_y3VPWWGBg0D-rmZUKotjRmHdfLMB8NL
2. Fit a regression line investigating the relationship between Height (Hgt) and FEV.
a) Generate a scatter plot of the data
b) Provide the equation of the line which best fits the data.
c) Is a linear model appropriate for this data? Conduct the F-test, goodness of fit test. Determine the p-value and interpretation of the test.
d) Give the R^2 for the model.
Explanation / Answer
1.
Correlations: Age, fev, Hgt
Age fev
fev 0.756
Hgt 0.792 0.868
2.
Regression Analysis: fev versus Hgt
The regression equation is
fev = - 5.43 + 0.132 Hgt
Predictor Coef SE Coef T P
Constant -5.4327 0.1815 -29.94 0.000
Hgt 0.131976 0.002955 44.66 0.000
S = 0.430676 R-Sq = 75.4% R-Sq(adj) = 75.3%
Analysis of Variance
Source DF SS MS F P
Regression 1 369.99 369.99 1994.73 0.000
Residual Error 652 120.93 0.19
Total 653 490.92
c. R-Sq = 75.4%
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