# C interpret the estimated slope value in the context

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c)Interpret the estimated slope value in the context of the problem. (3 points)
40045050055060065070015202530354045Fat (grams)CaloriesFat Residual Plot-40-20020406002468FatResidualsExcel SUMMARY OUTPUTRegression StatisticsR Square0.923Standard Error27.334Observations7CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept210.95450.101 4.2110.008482.164 339.744Fat11.0561.430 7.7320.00067.38014.731Note: Excel’s reported P-values are for two-tailed hypotheses.
4d)Does the estimated y-intercept have any practical meaning in the context of the problem? Briefly explain.(3 points)
e)What is the 95% confidence interval for the regression equation slope parameter? Interpret the CI in the context of the problem.(3 points)
f)What is the margin of error, E, that would be used for calculating a 90% confidence interval for the regression equation slope parameter? Would the 90% CI be wider or narrower than the 95% interval from part e)? Briefly explain.(4 points)
g)Write down the null and alternative hypotheses to test that the slope is greater than zero. (3 points)
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