1. [-14 Points] DETAILS PODSTAT6 13.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let x be the size of a house (in s

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1 14 Points Details Podstat6 13 1 002 My Notes Ask Your Teacher Practice Another Let X Be The Size Of A House In S 1 (59.66 KiB) Viewed 21 times

1. [-14 Points] DETAILS PODSTAT6 13.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 = 0.016 a = y intercept of population regression line = -7 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? 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 small 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. Yes. The size of this house lies inside the range of the sample that 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.