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Umnica [9.8K]
3 years ago
5

Jacob drew a regression line for this paired data set

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

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

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