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Multiple Regression Model

We are given a multiple regression model :
InQt=1.2789-0.1647 In Pt+ 0.5115 In It + 0.1483 In P't - 0.0089T - 0.961D1t - 0.1570D2t-0.0097D3t

Its purpose is to describe the relationship between the terms on the right (the independent variable) to Qt (the dependent variable. We find values of each variable be taking a random sample of the population, and then by using the mean of that sample. We then can input these mean values of each variable to predict the value of Q. For example, for the third quarter we have
=1.2789-.1647(0.62)+0.5115(1.27)+0.1483(0.10)-0.0089(59)-0.0097(1) (note that one zero is missing from the fifth term in the document you attached) which yields 1.306421.
Taking the inverse natural log, we find each person consumed 3.69 pounds of coffee that quarter.

By composing similar functions for the other quarters, gives us values of 3.75, 3.55, and 3.37 for Q. The equations used were
lnQ4=1.2789-0.1647*(0.548)+0.5115*(1.281)+0.1483*(0.077)-0.0089*(60)
lnQ1=1.2789-0.1647*(0.47)+0.5115*(1.289)+0.1483*(0.0677)-0.0089*(57)-0.0961*(1)
lnQ2=1.2789-0.1647*(0.378)+0.5115*(1.3)+0.1483*(0.04879)-0.0089*(58)-0.157*(1)

******MY QUESTION IS IN THE ABOVE SOLUTION, WHERE DID THE (0.548) COME FROM IN Q4????*******

Solution Preview

The 0.548 will be the value of the natural logarithm of the independent ...

Solution Summary

The necessary clarification is provided. The relationship between the terms on the right to OT are described. The inverse natural log is taken.

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