It is known that $\mu$_X = 10, $\sigma$_X² = 16, $\mu$_Y = 52, $\sigma$_Y² = 8, $\rho$_XY = 0. A simple linear regression model is estimated. Which of the following statements is true? A) X and Y are completely unrelated. B) The slope of the regression model will be zero. C) The intercept of the regression model will be zero. D) The prediction of Y based on the linear model will be very accurate.

Question

Quizplus · Accepted Answer

The correlation coefficient $\rho_{XY} = 0$ indicates no linear relationship between X and Y, leading to a slope of zero in the regression model.

It Is Known That μ\muμ X = 10 σ\sigmaσ X2 = 16 μ\muμ

It Is Known That $\mu$ _X = 10 $\sigma$ _X² = 16 $\mu$