Interpreting Simple Linear Regression1. Linear correlation coefficient r = 0.7945562. Coefficient of Determination ( r square) 0.6313193. Standard Error of the estimate = 12.96684. SSR (Explained variation) = 5182.415. SSE ( Unexplained variation) = 3026.496. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.55237. Level of Significance = 0.18. Critical Value= 0.378419 Question : Based on the linear correlation coefficient (r) in Line 1, the variables(X,Y) are positively correlated TrueFalse

Correlation: Correlation gives the direction and strength of the linear relationship between two continuous variables. The value of correlation value lies between -1 and 1. If the correlation value is positive, then the two variables said to be positively related. If the correlation value is negative, then the two variables said to be negatively related. If the correlation value is zero, then the two variables said to be not related.From the line 1, 1. Linear correlation coefficient r = 0.794556 That is, the correlation value is positive. Hence, the two variables are said to be positively related. Hence, the given statement is true.

Answered: Interpreting Simple Linear Regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Interpreting Simple Linear Regression

1. Linear correlation coefficient r = 0.794556

2. Coefficient of Determination ( r square) 0.631319

3. Standard Error of the estimate = 12.9668

4. SSR (Explained variation) = 5182.41

5. SSE ( Unexplained variation) = 3026.49

6. Predicted equation or equation of the regression line (Y predicted or hat) = 0.725983X + 16.5523

7. Level of Significance = 0.1

8. Critical Value= 0.378419

Question : Based on the linear correlation coefficient (r) in Line 1, the variables(X,Y) are positively correlated
True

False