In the context of regression, determine whether the following statement is true or false: If there is no correlation between x and y, the best predicted value of y for a given value of x is $\overline { \mathrm { y } }$

Question

Quizplus · Accepted Answer

If there is no correlation between x and y, it means that x does not provide any information about y. Therefore, the best prediction for y, regardless of x, is the mean of y ($\overline { \mathrm { y } }$), as it minimizes the sum of squared deviations.

In the Context of Regression, Determine Whether the Following Statement y‾\overline { \mathrm { y } }y​

In the Context of Regression, Determine Whether the Following Statement $\overline { \mathrm { y } }$