Question

If the correlation coefficient is a positive value, then the slope of the regression line?

Answer 1

Answer:

When the correlation is positive, the regression slope will be positive.

Answer 2

Answer:

If the correlation is strong, the regression slope will also be strong. In simple linear regression, the correlation squared (also known as R2) has a unique significance. It shows how much of the variance in Y can be accounted for by X.

• A positive correlation exists if the variables' graph shows a line with a positive slope (x increases as y increases). A negative correlation exists if the line's slope is negative (as x increases y decreases).
• No, the correlation coefficient value is not influenced by the slope or steepness of the line. Two datasets with the same correlation coefficient might have drastically different slopes since the correlation coefficient just indicates how closely your data fit on a line.
• A positive linear relationship exists if the slope of the line is positive, meaning that when one rises, the other rises as well. If the slope is negative, a negative linear relationship exists, meaning that as one variable rises, the other falls.

Thus, If the correlation coefficient is a positive value, then the slope of the regression line will be positive.

Refer here to learn more about correlation coefficient: https://brainly.in/question/42741081

Refer here to learn more about regression line: https://brainly.in/question/41642380

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