Question

elaine collected data on the number of miles a flight travels and the cost of the plane ticket for the flight. if the correlation coefficient of elaines data was 0.82, which would most likely represent the scatter plot of the data? a. b. c. d. a b c d

Explanation:

Step1: Understand the correlation coefficient

A correlation coefficient of \(0.82\) is positive and relatively close to \(1\). A positive correlation means as one variable (miles of flight) increases, the other variable (cost of ticket) also increases.

Step2: Analyze each scatter - plot

• Option A: The points do not show a clear increasing trend.
• Option B: The points show a decreasing trend (negative correlation).
• Option C: The points show a strong increasing trend (positive correlation), which is consistent with a correlation coefficient of \(0.82\).
• Option D: The points are too scattered and do not show a clear increasing trend.

Answer:

C