1. which line models the data points better and why?
blue, because it's longer
blue, because the data points are all close to the line
red, because it goes through one of the points
red, because there are three points above the line and three points below the line
2. according to the blue line, what would you estimate the score was after 3 weeks of practice?
about 40
about 18
about 8
about 22
3.according to the blue line, about how many weeks of practice are required to achieve a score of 50?
15 weeks
17 weeks
19 weeks
21 weeks

Answer with explanation:

Ques 1)

The line that models the data better is:

Line Blue.

( Since the data is best modeled with the help of line along which the data points are uniformly scattered.

In line Red the data points are far away from the line so this does not give a good representation of the data)

Blue, because the data points are all close to the line.

Ques 2)

According to the blue line, the estimate score after 3 weeks of practice.

About 8.

Ques 3)

Now to achieve a score of 50 according to blue line about seventeen weeks are required.

17 weeks.

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step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9