x <- c(8.23, 8.97, 2.72, 1.09, 2.03, 8.07, 8.92, 2.14, 5.6, 2.43, 0.49, 5.8, 5.38, 5.89, 2.31, 5.05, 6.57, 9.21, 9.99, 2.81, 8.86, 9.68, 6.41, 9.36) y <- c(6.7, 6.3, 2, 2.5, 3.4, 2.7, 6.6, 5.3, 7.3, 2.5, 1.9, -0.3, -1, 4, 6.5, 2.5, 0.6, 5.5, 3.6, 1.8, 2.4, 3.2, 6.1, 5.6) Using the varials x and y that you just created, fit a linear model using y as the dependent variable and x as the independent variable and provide the following: What is the equation of the regression line?
x <- c(8.23, 8.97, 2.72, 1.09, 2.03, 8.07, 8.92, 2.14, 5.6, 2.43, 0.49, 5.8, 5.38, 5.89, 2.31, 5.05, 6.57, 9.21, 9.99, 2.81, 8.86, 9.68, 6.41, 9.36) y <- c(6.7, 6.3, 2, 2.5, 3.4, 2.7, 6.6, 5.3, 7.3, 2.5, 1.9, -0.3, -1, 4, 6.5, 2.5, 0.6, 5.5, 3.6, 1.8, 2.4, 3.2, 6.1, 5.6) Using the varials x and y that you just created, fit a linear model using y as the dependent variable and x as the independent variable and provide the following: What is the equation of the regression line?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Run the following lines in R:
x <- c(8.23, 8.97, 2.72, 1.09, 2.03, 8.07, 8.92, 2.14, 5.6, 2.43, 0.49, 5.8, 5.38, 5.89, 2.31, 5.05, 6.57, 9.21, 9.99, 2.81, 8.86, 9.68, 6.41, 9.36)
y <- c(6.7, 6.3, 2, 2.5, 3.4, 2.7, 6.6, 5.3, 7.3, 2.5, 1.9, -0.3, -1, 4, 6.5, 2.5, 0.6, 5.5, 3.6, 1.8, 2.4, 3.2, 6.1, 5.6)
Using the varials x and y that you just created, fit a linear model using y as the dependent variable and x as the independent variable and provide the following:
- What is the equation of the regression line?
y^ = + x
- How many degrees of freedom would need to be used when obtaining a ?p-value associated with the test statistic for the slope parameter?
Degrees of Freedom =
- What is the value of the coefficient of determination?
R2 =
- What is the value of the
correlation coefficient ?
Correlation =
- Is there a statistically significant relationship between x and y at the α=0.07 significance level? (answer “Yes” or “No” without quotes)
Yes
No
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