Question

5.3.3 quiz: using models from data: mastery test
sheila gathered data about the minutes she played and the points she scored in eight recent basketball games. the data and the line of best fit are shown in the scatter plot.
the equation of the line of best fit is ( y = 0.422x - 1.528 ).
could this line of best fit be used to make reasonable predictions?
a. yes, because the points in the plot are all close to the line, which indicates a strong association.
b. yes, because the slope of the line is closer to 0 than to 1, which indicates a strong association.
c. no, because the points in the plot are all close to the line, which indicates a weak association.
d. no, because the slope of the line is closer to 0 than to 1, which indicates a weak association.

Explanation:

A line of best fit can be used for reasonable predictions when the data points are close to the line. This closeness indicates a strong association. The slope value itself (in this case \(0.422\)) doesn't directly determine if it's a strong or weak association for prediction - the key is the proximity of data points to the line.

Answer:

A. Yes, because the points in the plot are all close to the line, which indicates a strong association.