Question

Jacob drew a regression line for this paired data set

Answer 1

Answer: $y=1.6x+6.8$

Step-by-step explanation:

1. The equation of a regression line has the following form:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

2. You need to calculate the slope with the points given in the exercise:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

3. Substitute values:

$m=\frac{18-10}{7-2}$

$m=\frac{8}{5}=1.6$

4. Now, you must calculate $b$:

-Substitute the value of the slope into the equation above.

- Take one of the given points and substitute them into the equation.

Then:

$y=mx+b\\10=(1.6)(2)+b\\b=10-3.2\\b=6.8$

5. Therefore, the equation is:

$y=1.6x+6.8$