The owner of a moving company wants an accurate method to predict the total number of labor hours that will be required to complete upcoming moves. The owner has decided to use the number of cubic feet moved and whether there is an elevator in the apartment building as the independent variables and has collected data for 36 moves. Use the data set given below to complete parts (a) through (n). For parts (a) through (k), do not include an interaction term. a. State the multiple regression equation that predicts labor hours, using the number of cubic feet moved, X₁, and whether there is an elevator, X₂. Define X₂ to be 0 when there is no elevator (No) and define X₂ to be 1 when there is an elevator (Yes). ŷ₁ = + (X₁₁ + (XX₂i (Round to three decimal places as needed.) b. Interpret the regression coefficients in (a). Holding constant whether there is an elevator, for each increase of 1 cubic foot moved, the predicted number of labor hours is estimated to increase by. Holding constant the number of cubic feet moved, the presence of an elevator is expected to decrease the predicted number of labor hours by

The owner of a moving company wants an accurate method to predict the total number of labor hours that will be required to complete upcoming moves. The owner has decided to use the number of cubic feet moved and whether there is an elevator in the apartment building as the independent variables and has collected data for 36 moves. Use the data set given below to complete parts (a) through (n). For parts (a) through (k), do not include an interaction term. a. State the multiple regression equation that predicts labor hours, using the number of cubic feet moved, X₁, and whether there is an elevator, X₂. Define X₂ to be 0 when there is no elevator (No) and define X₂ to be 1 when there is an elevator (Yes). ŷ₁ = + (X₁₁ + (XX₂i (Round to three decimal places as needed.) b. Interpret the regression coefficients in (a). Holding constant whether there is an elevator, for each increase of 1 cubic foot moved, the predicted number of labor hours is estimated to increase by. Holding constant the number of cubic feet moved, the presence of an elevator is expected to decrease the predicted number of labor hours by

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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