An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and collected the following information on the ages (in years) and prices (in hundreds of dollars) of these cars. Age 8 3 5 3 2 3 2 7 Price 32 74 62 75 87 65 83 42 Find the least squares regression line equation in the form ý = a+ bx. Use "Age" as the independent variable and "Price" as the dependent variable. Round your answers to four decimal places. + i

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research
department at the company took a sample of eight cars of this model and collected the following information on the ages (in years)
and prices (in hundreds of dollars) of these cars.
Age 8 3 5 3 2 3 2 7
Price 32 74 62 75 87 65 83 42
Find the least squares regression line equation in the form y = a+ bx. Use "Age" as the independent variable and "Price" as
the dependent variable.
Round your answers to four decimal places.
$ =
+( i
eTextbook and Media
Predict the price of a 2 year-old car of this model.
Round your answer to one decimal place.
Ypred
Transcribed Image Text:An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and collected the following information on the ages (in years) and prices (in hundreds of dollars) of these cars. Age 8 3 5 3 2 3 2 7 Price 32 74 62 75 87 65 83 42 Find the least squares regression line equation in the form y = a+ bx. Use "Age" as the independent variable and "Price" as the dependent variable. Round your answers to four decimal places. $ = +( i eTextbook and Media Predict the price of a 2 year-old car of this model. Round your answer to one decimal place. Ypred
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