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To assess the impact of size X1 (sq. feet) and distance from the centre of town X2 (miles) on the value of homes Y (in $ thousands)
Data on (Y, X1, X2) for n = 9 homes are given as follows:
Y X1 X2345 1650 3.5238 1870 0.5452 2230 1.5422 1740 4.5328 1900 1.8375 2000 0.1660 3200 3.4466 1860 3290 1230 1
a) Fit a multiple linear regression equation of Y on X1 and X2
b) Use the equation to predict the value of a home measuring 1500 sq. ft. which is at a distance of 0.75 mile from the centre of the town.
A Patent Medicine Company supervisor assumes that the bottling machine is operating properly if only 5 percent of the processed bottles are not full. A random sample of 100 bottles had 7 bottles that weren't full. Using a significance level of .01..
Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
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