Based on the sample data and the regression line, complete the following. (a) For these data, used selling prices that are greater than the mean of the used selling prices tend to be paired with mileages that are (Choose one) ▼ the mean of the mileages. (b) According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling 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.
![Based on the sample data and the regression line, complete the following.
(a) For these data, used selling prices that are greater than the mean of the used selling prices
tend to be paired with mileages that are (Choose one) ▼ the mean of the mileages.
(b) According to the regression equation, for an increase of one thousand miles in Cadet mileage,
there is a corresponding decrease of how many thousand dollars in the used selling price?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb63fc9e3-7584-4c90-be8d-bc130c8a2c55%2F396012a8-5a50-43e6-a01f-28937023e300%2F6qk6pb8_processed.jpeg&w=3840&q=75)
![Used selling price
(in thousands of dollars)
XX
The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken
from a sample of fifteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the!
sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and
the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation
y = 40.95 – 0.46x. This line is shown in the scatter plot below.
Mileage, x
(in thousands)
Used selling price, y
(in thousands of dollars)
34.4
26.2
24.0
30.5
40-
23.3
33.0
21.0
31.0
35 -
27.8
29.9
メ
26.8
30.7
++
30
23.2
31.0
X X
21.0
31.8
25
27.3
24.0
20.
33.6
15.8
28.3
24.1
20
25
30
35
40
15
28.5
Mileagex
(in thousands)
29.1
22.7
37.7
26.4
25.9
26.3
27.7
Send data to calculator](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb63fc9e3-7584-4c90-be8d-bc130c8a2c55%2F396012a8-5a50-43e6-a01f-28937023e300%2Fzwy74s_processed.jpeg&w=3840&q=75)
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