Estimate the correlation between Y and X.
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APPLIED STATISTICS AND PROBABILITY FOR ENGINEERS
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The data in the following table give x = the water content of snow on April 1 and y = the yield from April to July (in inches) on the Snake River watershed in Wyoming for 1919 to 1935. (The data were taken from an article in Research Notes, Vol. 61, 1950, Pacific Northwest Forest
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Answer the following:
a. Estimate the correlation between Y and X.
b. Test the hypothesis that ρ = 0 using α = 0.05.
c. Fit a simple linear regression model and test for significance of regression using α =0.05. What conclusions can you draw? How is the test for significance of regression related to the test on ρ in part (b)?
d. Analyze the residuals and comment on term list.
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