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Ainat [17]
3 years ago
6

Andrea drew a regression line for this paired data set.

Mathematics
2 answers:
Tems11 [23]3 years ago
6 0

The equation of the line that passes through the points

(1,5) and (5,13) is y=2x+3

JulsSmile [24]3 years ago
6 0

Answer:

The correct option is 2.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

It is given that Andrea drew a regression line for this paired data set.  Her line passed through (1, 5) and (5, 13) .

The equation of Andrea's regression line is

y-5=\frac{13-5}{5-1}(x-1)

y-5=\frac{8}{4}(x-1)

y-5=2(x-1)

y-5=2x-2

y=2x-2+5

y=2x+3

The equation of Andrea's regression line is y=2x+3. Therefore correct option is 2.

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