Question
Can you check my work? let me know if there is anything that is wrong and how to fix it? You will complete a question
Can you check my work? let me know if there is anything that is wrong and how to fix it?
You will complete a question aboutCorrelation Examplesand complete aSimple Linear Regression. For theSimple Linear Regression, make sure to complete the following steps:
- Construct a scatter plot.
- Find the equation of the regression line.
- Predict the value of y for each of the x-values. Use this resource: Regression
- Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two variables that have no correlation.
- Height and Weight: The height (in inches) and weights (in pounds) of eleven football players are shown in this table.
Simple linear regression results:
Dependent Variable: var2 Independent Variable: var1 var2 = -257.30831 + 7.254393 var1 Sample size: 11 R (correlation coefficient) = 0.93635115 R-sq = 0.87675348 Estimate of error standard deviation: 13.678839
The equation of a regression line is var2(y weight)-257.30831+7.254393 var1(x height)
Parameter estimates:
Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
---|---|---|---|---|---|---|
Intercept | -257.30831 | 63.762222 | ? 0 | 9 | -4.0354351 | 0.0029 |
Slope | 7.254393 | 0.90662649 | ? 0 | 9 | 8.0015233 |
Analysis of variance table for regression model:
Source | DF | SS | MS | F-stat | P-value |
---|---|---|---|---|---|
Model | 1 | 11979.641 | 11979.641 | 64.024375 | |
Error | 9 | 1683.9956 | 187.11062 | ||
Total | 10 | 13663.636 |
Predicted values:
This chart below shows each prediction of each x value listed
X value | Pred. Y | s.e.(Pred. y) | 95% C.I. for mean | 95% P.I. for new |
---|---|---|---|---|
65 | 214.22724 | 6.2514808 | (200.0854, 228.36907) | (180.20514, 248.24933) |
69 | 243.24481 | 4.2612322 | (233.60523, 252.88439) | (210.83443, 275.65519) |
71 | 257.75359 | 4.1905014 | (248.27402, 267.23317) | (225.39044, 290.11675) |
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