a. Briefly explain how the information provided suggests that a linear model may not be appropriate for describing the relationship between car age and price.
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.
![3. While shopping for a new car, Ms. McDonald collects data on age (in years) and price (in 1,000's
of dollars) for used Honda Civics. First, Ms. McDonald ran a regression analysis on the data of Price
versus Age. All logarithms are base 10.
I.
I. Price versus Age: (Computer output, scatterplot, residual plot)
Predictor
Constant
Age
Coef SE Coef
17.870
0.000
0.000
1.030
17.35
-1.4300
0.1276
-11.21
S 1.68336
R-Sq 89.34
R-Sq (adj) - 88.6%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc37155b7-a3df-4d67-b512-6e2fc5984bff%2F41b80ba0-c7d7-453f-9edb-1c626e291de5%2Fpqa53es_processed.jpeg&w=3840&q=75)
![a. Briefly explain how the information provided suggests that a linear model may not be appropriate
for describing the relationship between car age and price.
forming the data Fach is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc37155b7-a3df-4d67-b512-6e2fc5984bff%2F41b80ba0-c7d7-453f-9edb-1c626e291de5%2Fm0qhxor_processed.jpeg&w=3840&q=75)
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