The graph shows number of tickets a person has received versus the number of accidents they have been in. if the trend continues, how many accidents would a person who has received 10 tickets be in?

we could do things the hard way: find the equation of the regression line and then substitute 10 for x. or we could extend the blue regression line about one more unit to the right, to x = 10, and then estimate the number of accidents:

draw a vertical line thru x = 10, and extend the blue line, and find the point of intersection of these two lines, and then draw a horiz. line through that point of intersection.

you will find that this horiz. line intersects the y-axis at about 6.

this goes to say that if a person has rec'd 10 tickets, he or she will likely have about 6 accidents.

note that it's risky to give much credence to predictions from a regression line when the extension lines mentioned here go beyond the actual measured data.

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