1. Value of a Corvette: the following table gives retail values of a 2010 Corvette for various odometer readings. Odometer Reading 13,000 Retail Value $52,275 $51,525 $51,200 $50,275 $49,625 $49,075 18,000 20,000 25,000 29,000 32,000 a. Find the equation of the least-squares line for the data. Rounds constants to the nearest thousandth. b. Use the equation from part a to predict the retail price of a 2010 Corvette with an odometer reading of 30,000. c. Find the linear correlation coefficient of these data.
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.
a. Find the equation of the least-squares line for the data. Rounds constants to the nearestt thousandth
b. Use the equation from part a to predict the retail price of a 2010 Corvette with anodometer reading of 30,000.
c. Find the linear
![1. Value of a Corvette: the following table gives retail values of a 2010 Corvette for various
odometer readings.
Odometer Reading
Retail Value
13,000
18,000
20,000
$52,275
$51,525
$51,200
25,000
29,000
32,000
$50,275
$49,625
$49,075
a. Find the equation of the least-squares line for the data. Rounds constants to the nearest
thousandth.
b. Use the equation from part a to predict the retail price of a 2010 Corvette with an
odometer reading of 30,000.
c. Find the linear correlation coefficient of these data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69efa37e-8386-42b7-9ed9-3b3fdad018e6%2F23d45337-7bd6-4239-9513-b9fa137df4cc%2F6vi6nmc_processed.jpeg&w=3840&q=75)
![1. Value of a Corvette: the following table gives retail values of a 2010 Corvette for various
odometer readings.
Odometer Reading
Retail Value
13,000
18,000
20,000
$52,275
$51,525
$51,200
25,000
29,000
32,000
$50,275
$49,625
$49,075
a. Find the equation of the least-squares line for the data. Rounds constants to the nearest
thousandth.
b. Use the equation from part a to predict the retail price of a 2010 Corvette with an
odometer reading of 30,000.
c. Find the linear correlation coefficient of these data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69efa37e-8386-42b7-9ed9-3b3fdad018e6%2F23d45337-7bd6-4239-9513-b9fa137df4cc%2F0ex9qqq_processed.jpeg&w=3840&q=75)
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