What is the relationship between the linear correlation coefficient r and the slope of a regression line?

The relationship is that the value of the linear correlation coefficient will always have the same sign as the value of the slope of a regression line.

Step-by-step explanation:

The slope of regression is simply the covariance between X and Y divided by the variance of X i.e Cov(X, Y)/Var X. Whereas, the correlation is the covariance divided by the product of the standard deviation. Thus, we can say that the correlation is the product of the gradient of the regression line and the ratio of the standard deviations.

Thus, it means when the correlation is positive, the slope is also positive and vice versa.

The sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

Therefore, the sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

Learn more about correlation coefficient on:

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exactly you go it

step-by-step explanation:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61