Regression through the origin
Suggest regression through the origin (straight line regression with population intercept know to be zero) with Var(e|x)=x^2sigma^2. The regression model is Y=Bx+e(i=1,...n).
Find an explicit expression for the weighted least squares estimate of B.
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In a study of elephants a researcher wishes to find out the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds.
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Compute a 95% confidence interval for the difference in the average horsepower for engines coming from the two factories and interpret it in context.
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