Question

To find the equation of a regression line, ý = ax + b, you need these formulas:9=1% of8b=ỹ-A regression line has a slope of 4.404. If the mean of the x-coordinates of thedata points is 8.891, and the mean of the y-coordinates is 5.519, what is they-value of the y-intercept of the line to three decimal places?A. 33.637B. 15.415OC.-33.637D.-15.415

Answer 1

Solution:

Given;

$\begin{gathered} slope,b=4.404 \\ \\ \overline{x}=8.891,\overline{y}=5.519 \end{gathered}$

The y-intercept, a, can be calculated using the formula;

$a=\overline{y}-b\overline{x}$

Thus;

$\begin{gathered} a=5.519-4.404(8.891) \\ \\ a=-33.637 \end{gathered}$

CORRECT OPTION: C