You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) (a) Use sy=sn1+(x1x)2(xx)2 to estimate the standard deviation of y^ when x=4. (b) Use y^ta/2y^ to develop a 95% confidence interval for the expected value of y when x=4. to (c) Use spred=s1+n1+(xix)2(xx)2 to estimate the standard deviation of an individual value of y when x=4. (d) Use yta/25pred to develop a 95% prediction interval for y when x=4. to Consider the data. The estimated regression equation for these data is y^=0.60+2.60x. (a) Compute SSE, SST, and SSR using equations SSE =(yiyi)2, SST =(yiy)2, and SSR =(y^iy)2. SSE=SST=SSR=xx (b) Compute the coefficient of determination r2. r2=x Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55 .) The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. (c) Compute the sample correlation coefficient. (Round your answer to three decimal places.) You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) (a) Use sy=sn1+(xix)2(xx)2 to estimate the standard deviation of y^ when x=4. (b) Use y^ta/2sy^ to develop a 95% confidence interval for the expected value of y when x=4. to (c) Use spred=s1+n1+(x1x)2(xx)2 to estimate the standard deviation of an individual value of y when x=4. (d) Use y^t/25 pred to develop a 95% prediction interval for y when x=4. to Consider the data. The estimated regression equation for these data is y^=0.60+2.60x. (a) Compute SSE, SST, and SSR using equations SSE =(yjy^j)2, SST =(yiy)2, and SSR =(y^iy)2. SSE=SST=SSR=xx (b) Compute the coefficient of determination r2. r2=x Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least squares line did not provide a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a large proportion of the variablity in y has been explained by the least squares line. The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line provided a goed fit as a smail proportion of the variability in y has been explained by the least squares line. (c) Compute the sample correlation coefficient. (Round your answer to three decimal places.)