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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 corrInterpreting 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

Falseelated

True

False

User Aorr
by
7.4k points

1 Answer

2 votes

Final answer:

The variables (X,Y) are positively correlated.

Step-by-step explanation:

Based on the linear correlation coefficient (r) of 0.794556, the variables (X,Y) are positively correlated.

User Kamala
by
8.1k points