91影视

Given in the question that Gary Smith of Pomona College looked at the exam scores of all $346$students who took his statistics class over a $10$-year period. $17$The least-squares line for predicting final-exam score from midterm-exam score was $\stackrel{铃�}{y}=46.6+0.41x$. Octavio scores $10$points above the class mean on the midterm. we have to find out that How many points above the class mean do you predict that he will score on the final.

The least-squares line for predicting final-exam score from midterm-exam score was

$\stackrel{铃�}{Y}=46.6+0.41X$

Octavio scores $10$points above the class mean on the midterm,

That is

$X=\overline{X}+10$

Predicted final score exam is

localid="1650001419325" $$\begin{gathered} \stackrel{铃�}{Y}=46.6+0.4(\overline{X}+10) \\ =46.6+0.4\stackrel{炉}{X}+0.4脳10 \\ =(46.6+0.41\stackrel{炉}{X})+4.1 \end{gathered}$$

We use the fact that the least-squares line passes through$(\stackrel{炉}{X},\stackrel{炉}{Y})$:

localid="1649411401399" $\stackrel{炉}{Y}=46.6+0.41\stackrel{炉}{X}$

$\stackrel{铃�}{Y}=\stackrel{炉}{Y}+4.1$