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Unformatted text preview: Department of Statistical and Actuarial Sciences Statistical Sciences 3859 Tutorial 3 1. 128 observations were taken on the electrical resistance of slabs of kiwis. Each observation con- sists of a measurement x , representing the apparent juice content (in %), and a measurement y , representing the amount of electrical resistance (in ohms). Interest centers on predicting electrical resistance at a given juice content. Some sample statistics on these data show: x i = 4499 . 5, y i = 558080, x 2 i = 192900 . 8, y 2 i = 2872505800, and x i y i = 16496125. (a) Write out the simple linear regression model relating electrical resistance to apparent juice content, stating all assumptions. (b) Find estimates of the slope and intercept parameters in the linear regression of y on x . (c) Estimate the error variance. (d) Estimate the standard error of the slope estimate. (e) Conduct a test (at the 5% level) of the hypothesis that the slope of the true regression line is 0. (Write out the hypotheses, test statistic, and conclusion.)is 0....
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- Fall '10