Mathematics: Jacob drew a regression line for this paired data set his line passed through (2,10) and (7,18) what is the equation of jacobs regression line? a)y=6.8x+1.6 b)y=1.375x+4.25 c)y=0.625x-4.25 d)y=1.6+6.8

Attached solution and graph with step by step solving....

Jacob drew a regression line for this paired data

solo4360

11.03.2022

y=1.6x+6.8

Step-by-step explanation:

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

y=mx+b

Where is the slope and 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 :

-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

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