Use the given data set to complete parts (a) through (d) below. 10 8 8.15 13 9 11 14 6. 4 12 y 9.13 8.75 8.77 9.26 8.09 6.12 3.11 9.12 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. OA. OB O B. Oc. O D. Ay 10- 8- Ay 10- Ay 10- 10- 8- 8- 8- 6- 6- 6- 6- .... 4- 4- 4- 4- 2- 2- 2- 2- 0+ -> 0- 0- 0+ 8. 12 16 8 12 16 12 16 4. 12 16
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.
![Use the given data set to complete parts (a) through (d) below.
10
9.13
9
8.77
12
9.12
8.
13
11
14
6
4
y
8.15
8.75
9.26
8.09
6.12
3.11
7.26
4.74
ct pla
ercial
t prine
Click here to view a table of critical values for the correlation coefficient,
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8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d426a2-9db6-4d31-bdd7-6f1f2024e2f3%2F86324d07-2150-45fc-8cb7-776d4056602b%2Fefbjbog_processed.jpeg&w=3840&q=75)
![b. Find the linear correlation coefficient, r.
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.
O A. The scatterplot reveals a distinct pattern that is not a straight-line pattern.
OB. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.
OC. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
O D. The scatterplot does not reveal a distinct pattern.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d426a2-9db6-4d31-bdd7-6f1f2024e2f3%2F86324d07-2150-45fc-8cb7-776d4056602b%2Fnq6pl2_processed.jpeg&w=3840&q=75)
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