Based on the residual plot, is the linear model appropriate? O No, there is no clear pattern in the residual plot. O Yes, there is no clear pattern in the residual plot. O No, there are no homes between 2,300 and 2,900 square feet. O Yes, half of the residuals are positive and half are negative.
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.
![60
40
20
20
1,400 1,000 2,200 2,600 3,000 3,400 3,800
Size (II')](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1853f8c5-296d-4ecf-8061-6b340e664ff4%2F6f17cafb-aa39-45ce-9f1f-fd4815b711b3%2Flk5f1q_processed.jpeg&w=3840&q=75)
![Janice is considering buying a new home. She wants
to estimate the monthly utilities (heating and air
conditioning). She figures that the utilities are
dependent on the size (square footage) of the home.
She collects data on 10 homes in the neighborhood
and finds a linear model to give the relationship
between the size of the home and the monthly
utilities. The equation of the line is ý = -8.1 + 1.91x,
where ŷ is the mean monthly cost in utilities and x is
Based on the residual plot, is the linear model
appropriate?
O No, there is no clear pattern in the residual plot.
O Yes, there is no clear pattern in the residual plot.
O No, there are no homes between 2,300 and 2,900
square feet.
O Yes, half of the residuals are positive and half are
negative.
the square footage of the home. The residual plot is
shown.
60
40
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1853f8c5-296d-4ecf-8061-6b340e664ff4%2F6f17cafb-aa39-45ce-9f1f-fd4815b711b3%2F6mj1bkd_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 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)