Stats Project 5 - Joshua Sbicca STA 6126 Homework Project...

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Joshua Sbicca STA 6126 – Homework Project #5 12/3/08 Let Y be the amount of acreage of cotton planted in the year. Let X be the adjusted combined price of cotton and cottonseed in the previous year (last variable in data file). Complete the following parts: Briefly describe the parameter β in the regression model Y = α + β X + ε o β is the slope which equals the change in Y for a one unit increase in X. Obtain a plot of Y versus X including the fitted regression equation. Write out the fitted equation: bX a Y + = ^ o ^ Y = 27346.929 + 517.162 X
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Give the estimate of the conditional standard deviation: 2 2 ^ ^ - - = n Y Y σ o 6501.957 Give the correlation coefficient: ( 29 ( 29 ( 29 ( 29 - - - - = 2 2 Y Y X X Y Y X X r o .307 Give the coefficient of determination: TSS SSE TSS r - = 2 o .094 Conduct the t-test to test H 0 : β =0 vs H A : β ≠0 based on the 0.05 significance level. o
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Stats Project 5 - Joshua Sbicca STA 6126 Homework Project...

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