Question

1. a line of best fit is drawn through data points displayed in a scatter plot. which statement is true about this line?

a) the line should go through (0, 0).
b) the line should go through all the data points.
c) the line should go through the “middle” of the data.
d) the line should have a positive slope.

1. which statement best explains why a line of best fit would or would not be appropriate to model this data?

a) a line would not be appropriate because there is a negative association.
b) a line would not be appropriate because the points follow a nonlinear pattern.
c) a line would be appropriate because there is a positive association.
d) a line would be appropriate because the points follow a nonlinear pattern.

Explanation:

For question 7, the line of best - fit in a scatter - plot is meant to represent the general trend of the data and goes through the "middle" of the data points. It doesn't have to pass through (0,0), doesn't pass through all data points, and doesn't necessarily have a positive slope. For question 8, looking at the scatter - plot, the points do not follow a linear pattern, so a line of best - fit would not be appropriate.

Answer:

1. c) The line should go through the "middle" of the data.
2. a) A line would not be appropriate because there is a negative association (and more importantly, the points follow a nonlinear pattern).