In a least-squares regression model, the residuals are assumed to be random. Suppose the residuals for a given data set are, in order, 0.0923 0.0437 0.2951 -0.3535 -0.1021 -0.4507 0.3007 0.0521 0.2035 -0.2451 0.3063 - 0.1423 o. (a) Denote residuals above O with an A and those below O with a B to form a sequence. (b) Test the assumption that the residuals are random at the a=0.05 level of significance. (0) The sequence is (b) Choose the correct answer below. OA There is sufficient evidence to conclude that the residuals are random since the test statistic is not between the critical values. OB. There is not suficient evidence to conclude that the residuals are random since the test statistic is greater than the upper critical value. O. There is not suffcient evidence to conclude that the residuals are random since the test statistic is less than the lower critical value. OD. There is sufficient evidence to conclude that the residuals are random since the test statistic is between the critical values.
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.
![In a least-squares regression model, the residuals are assumed to be random. Suppose the residuals for a given data set are, in
order, 0.0923 0.0437 0.2951 - 0.3535 -0.1021 -0.4507 0.3007 0.0521 0.2035 - 0.2451 0.3063 - 0.1423..
(a) Denote residuals above 0 with an A and those below 0 with a B to form a sequence.
(b) Test the assumption that the residuals are random at the a = 0.05 level of significance.
(a) The sequence is .
(b) Choose the correct answer below.
O A. There is sufficient evidence to conclude that the residuals are random since the test statistic is not between the critical
values.
B. There is not sufficient evidence to conclude that the residuals are random since the test statistic is
greater than the upper critical value.
OC. There is not suffient evidence to conclude that the residuals are random since the test statistic is
less than the lower critical value.
D. There is sufficient evidence to conclude that the residuals are random since the test statistic is between the critical values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffb8afd2-318c-4949-a2e1-4de2a9d099dd%2F2666720e-3b4e-439f-9cca-f5d52f6e2371%2Fketnr36_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
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)