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"Car rideshare services are a popular option for people needing to move about in large cities. The scatterplot shows the distances and fares, in dollars, for an adult living in a city over a month period. The value of r for the scatterplot is 0.950.

Which of the labeled points weakens the overall association between distance and fare?
A.point A
B.point B
C.point C
D.point D"

1 Answer

6 votes

Final answer:

To weaken the association between distance and fare in a scatterplot with a high positive correlation, look for a point that deviates significantly from the line of best fit.

Step-by-step explanation:

The student's question relates to identifying the point that weakens the overall association between distance and fare in a scatterplot representing rideshare data with a correlation coefficient r = 0.950. A point that weakens the association is one that is farther away from the general pattern observed in the scatterplot.

Generally, in a scatterplot where there is a strong positive correlation between distance and fare, a point lying well below the trend line would indicate a fare that is lower than what would be expected at that distance, thus weakening the correlation.

Conversely, a point well above the trend line would suggest a fare higher than expected, also weakening the correlation. To identify such a point, one would look for a point that deviates significantly from the line of best fit drawn through the data points.

The point that weakens the overall association between distance and fare is point C. Point C is an outlier that is far away from the general trend of the scatterplot. It does not follow the same pattern as the other data points and suggests that there might be other factors influencing the fare aside from distance.

User Caleb Doucet
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