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 3 6. 4. 8. 4. Price 64 41 47 69 30 65 55 69 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.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Chapter 13, Section 13.1, Problem 020be
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
3
6.
4
8
3
4
Price
64 41 47 69 30 65 55 69
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.
Predict the price of a 2 year-old car of this model.
Round your answer to one decimal place.
Ypred
the tolerance is +/-2%
Version 4.24.20
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