The following data show, in convenient units, the yield Y of a chemical reaction run at various different temperature x. n = 7. Σ.x, = 980. EN Σy? 115.54 = 140000. Assuming that a linear regression model Y = a + Bx, + E, is appropriate estimate the regression line of yield on temperature. Find the residuals sum of squares. = 27.4. = 3958.
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- We showed that in a simple linear regression, the MLE estimates for ?1 and ?0 are the same as the OLS estimates. Show that the MLE estimate (Hint: take the derivative of the LL w.r.t ?2).A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation: y-hat = 6 + 0.1X, where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Yvette worked 10 hours and slept 8 hours. What is Yvette’s residual? 0.1 1 6 7The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female).ŷ = 30 + 0.7x1 + 3x2Also provided are SST = 1200 and SSE = 384.The yearly income of a 24-year-old female individual is _____.
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