Question

Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does...

Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r = ?0.601 Part A Calculate the coefficient of determination. (Round to three decimal places as needed.) Part B What does this tell you about the explained variation of the data about the regression line? (Round to one decimal place as needed.) Part C About the unexplained variation? (What percentage of unexplained variation does the model have? Round to one decimal place as needed.)

Homework Answers

Answer #1

(A) we have r = -0.601

we know that the coefficient of determination = r^2

setting the r value, we get

coefficient of determination = (-0.601)^2 = 0.361 (rounded to three decimals)

(B) we got the coefficient of determination r^2 = 0.361 or 36.1%

So, this means that 36.1% variation in the dependent variable can be explained by the independent variable.

or we can say that 36.1 % of the variation of the data about the regression line can be explained.

(C) Percentage of unexplained variation = 100 - percent of explained variation = 100-36.1 = 63.9 %

so, the model has 63.9% unexplained variation of the data about the regression line.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does...
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression​ line? About the unexplained​ variation? r=0.784
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does...
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r=-0.968
What does the concept known as R-Square (the coefficient of determination) tell us about a regression...
What does the concept known as R-Square (the coefficient of determination) tell us about a regression model and in a simple linear regression how is it related to the sample correlation coefficient?
Q: The coefficient of determination, R-squared, has which one of the following properties? a. is a...
Q: The coefficient of determination, R-squared, has which one of the following properties? a. is a ratio of unexplained variation to explained variation b.increases when the number of independent variables increases c. decreases when the number of independent variables increases d.has the same sign as the slope of the regression line e.is always negative
If the coefficient of correlation is 0.90, the percentage of the variation in the dependent variable...
If the coefficient of correlation is 0.90, the percentage of the variation in the dependent variable y that is explained by the variation in the independent variable x is: A. 81% B. 0.81% C. 90% D. 0.90% If the coefficient of determination is 0.975, then the slope of the regression line: A. could be either positive or negative B. must be negative C. must be positive D. none of the above answers is correct
what does it mean when The Correlation Coefficient is -0.818 and the Coefficient of Determination is...
what does it mean when The Correlation Coefficient is -0.818 and the Coefficient of Determination is -.669
What does correlation coefficient : r and coefficient of determination: r^2 mean?
What does correlation coefficient : r and coefficient of determination: r^2 mean?
Use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation...
Use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables. Use alphaequals0.05. x 2 4 7 1 6 y 5 8 12 3 11 Click here to view a table of critical values for the correlation coefficient. LOADING... Does the given scatterplot suggest that there is a linear​ correlation? A. ​Yes, because the data does not follow a straight line. B. ​No, because the data follows a straight line. C....
Econ 3050 Q7. When every member of the accessible population has an equal chance of being...
Econ 3050 Q7. When every member of the accessible population has an equal chance of being selected to participate in the study, the researcher is using: a)     Simple random sampling b)     Stratified random sampling c)     Convenience sampling d)     Purposive random sampling Q8. A regression line has been found that has nearly all the points lying directly on the line, and only a few of them stray away from the line. Therefore, the standard error of the estimate is likely to...
If correlation coefficient r = 0.65, what does the coefficient of determination equal? Interpret your result.
If correlation coefficient r = 0.65, what does the coefficient of determination equal? Interpret your result.