Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by y 4 0.01 0.01 0.03 0.07 0.01 0.03 0.05 0.08 0.03 0.02 0.03 0.11 0.15 0.01 0.01 3. 0.02 0.07 0.1 0.03 0.01 0.01 0.06 0.03 0.01 0.01 2.
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.
Describe the
X and Y have ______ correlation.
What is the correlation value? =
![Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number
encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by
X
y
1
2
4
0.01
0.01
0.03
0.07
0.01
1
0.03
0.05
0.08
0.03
0.02
2.
0.03
0.11
0.15
0.01
0.01
0.02
0.07
0.1
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8d6485-9e3b-4fb9-9f94-b4d8db9982c2%2Fa16c0678-5462-4a64-89e6-0041f8079118%2Frw6505_processed.jpeg&w=3840&q=75)
![*Complete the interpretation of the data.
As the number of
from Buendia to Quiapo encountered by the motorcycle increases, the number of
stoplights of its return trip tends to
(increase, decrease, or be uncorrelated). Therefore, X and Y have
(zero, negative, or positive) covariance. The covariance was calculated to be
a
(numerical value).
*Describe the correlation whether a strong, a weak, or no.
X and Y have
correlation.
What is the correlation value? =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8d6485-9e3b-4fb9-9f94-b4d8db9982c2%2Fa16c0678-5462-4a64-89e6-0041f8079118%2F19aifeh_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)