Let x be the size of a house (in square feet) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values. B = slope of population regression line = 0.018 a = y intercept of population regression line = -4 Houses in this community range in size from 1,000 to 3,000 square feet. (a) What is the mean value of gas usage (in therms) for houses with 2,100 sq. ft. of space? | therms (b) What is the average change in usage (in therms) associated with a 1 sq. ft. increase in size? therms (c) What is the average change in usage (in therms) associated with a 100 sq. ft. increase in size? therms (d) Should the model be used to predict mean usage for a 500 sq. ft. house? Why or why not? O Yes. The size of this house lies inside the range of the sample that the model is based on. O Yes. The model can be used to predict mean usage for any sized house regardless of the sample the model is based on. O No. The size of this house is too big and lies outside the range of the sample that the model based on. O No. The model predicts a negative mean usage for this size of house. O No. The size of this house is too small and lies outside the range of the sample that the model is based on.
Let x be the size of a house (in square feet) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values. B = slope of population regression line = 0.018 a = y intercept of population regression line = -4 Houses in this community range in size from 1,000 to 3,000 square feet. (a) What is the mean value of gas usage (in therms) for houses with 2,100 sq. ft. of space? | therms (b) What is the average change in usage (in therms) associated with a 1 sq. ft. increase in size? therms (c) What is the average change in usage (in therms) associated with a 100 sq. ft. increase in size? therms (d) Should the model be used to predict mean usage for a 500 sq. ft. house? Why or why not? O Yes. The size of this house lies inside the range of the sample that the model is based on. O Yes. The model can be used to predict mean usage for any sized house regardless of the sample the model is based on. O No. The size of this house is too big and lies outside the range of the sample that the model based on. O No. The model predicts a negative mean usage for this size of house. O No. The size of this house is too small and lies outside the range of the sample that the model is based on.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let x be the size of a house (in square feet) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the
following values.
B = slope of population regression line = 0.018
a = y intercept of population regression line = -4
Houses in this community range in size from 1,000 to 3,000 square feet.
(a) What is the mean value of gas usage (in therms) for houses with 2,100 sq. ft. of space?
therms
(b) What is the average change in usage (in therms) associated with a 1 sq. ft. increase in size?
therms
(c) What is the average change in usage (in therms) associated with a 100 sq. ft. increase in size?
therms
(d) Should the model be used to predict mean usage for a 500 sq. ft. house? Why or why not?
O Yes. The size of this house lies inside the range of the sample that the model is based on.
O Yes. The model can be used to predict mean usage for any sized house regardless of the sample the model is based on.
O No. The size of this house is too big and lies outside the range of the sample that the model is based on.
O No. The model predicts a negative mean usage for this size of house.
O No. The size of this house is too small and lies outside the range of the sample that the model is based on.
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