Question

10. Correct the following statement.

a) If the coefficient of determination is equal to 0.547 and the slope of the line of best fit positive, the correlation between the variable is negative weak linear correlation

Answer 1

Coefficient of determination is the square of correlation coefficient .

when drawing a regression line if the slope of the regression line is downward sloping then the correlation coefficient also will be negative .

if the correlation coefficient comes negative then we will be concluding that slope of the regression line will be negative .

if correlation coefficient comes out to be positive then the slope will also be positive and if the slope comes positive so the correlation coefficient will also be positive

So in the question it is told that the coefficient of determination is 0.547 , and slope of the line is also positive , so we can say that the correlation coefficient will be positive .

S R square is equal to 0.547 , the value of R would be 0.739 , which is that the correlation between the the variables is fair not very good not very weak .

Correct statement will be if the coefficient of determination is equal to 0.547 and the slope of the line of the best fit is positive the correlation between the variable is positive weak linear correlation