Two variables have a positive linear correlation. Is the slope of the regression

Question

Two variables have a positive linear correlation. Is the slope of the regression line for the variables positive or negative? A. The slope is negative. As the independent variable increases the dependent variable tends to decrease. B. The slope is negative. As the independent variable increases the dependent variable also tends to increase. C. The slope is positive. As the independent variable increases the dependent variable also tends to increase. D. The slope is positive. As the independent variable increases the dependent variable tends to decrease.

Explanation / Answer

Answer (C) The slope is positive. As the independent variable increases, the dependent variable also tends to increase.

Reason slope of the regression line only determines if variable Y increases i.e a positive value multiplied by X, or if variable Y decreases i.e negative value multiplied by X.

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