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. 3 5 8 Price 36 48 41 60 79 53 37 46 Age 8 5 7 7 Find the least squares regression line equation in the form ŷ = 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
icon
Related questions
Topic Video
Question

Hello I hope you are doing well! Please see the attached image as it is the problem thank you!

Current Attempt in Progress
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
5
7
5
3
8
7
Price
36 48 41
60 79 53 37 46
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
+(
i
Predict the price of a 2 year-old car of this model.
Round your answer to one decimal place.
i
pred =
Transcribed Image Text:Current Attempt in Progress 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 5 7 5 3 8 7 Price 36 48 41 60 79 53 37 46 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 +( i Predict the price of a 2 year-old car of this model. Round your answer to one decimal place. i pred =
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning