Question

which pair of points would be best for miguel to use?

p and w

q and v

r and u

s and t

Explanation:

Step1: Understand the concept of line of best fit

The line of best fit should pass through or near as many points as possible. When choosing two points to approximate the line of best fit, the pair of points should represent the overall trend of the data set.

Step2: Analyze each option

• Option P and W:
• Point \(P=(1,160)\) and \(W=(11,90)\). These two points seem to be on the two - ends of the data spread and can capture the general downward trend of the data.
• Option Q and V:
• Point \(Q=(2,170)\) and \(V=(10,85)\). While they also show a downward trend, there are more points below the line that would be formed by \(Q\) and \(V\) compared to the line formed by \(P\) and \(W\).
• Option R and U:
• Point \(R=(3,190)\) and \(U=(9,60)\). The line through \(R\) and \(U\) would be steeper than the overall trend of most of the data points.
• Option S and T:
• Point \(S=(6,135)\) and \(T=(7,115)\). These two points are too close to each other and do not represent the full range of the data.

Answer:

P and W