Question

the average price each year for an airline ticket from 2010 to 2018 is shown in the table.

year	price ($)
2011	406
2012	410
2013	412
2014	416
2015	399
2016	365
2017	356
2018	350

the linear correlation coefficient for the data is $r = -0.713$.

which statement best interprets the linear correlation coefficient $r$ for the data?

a airline ticket prices are likely to decrease as time goes on.

b the average airline ticket price decreases by 71.3% each year.

c the average airline ticket price decreases by $71.30 each year.

d airline ticket prices are guaranteed to decrease as time goes on.

Explanation:

The linear correlation coefficient \( r = -0.713 \) indicates a moderate negative linear relationship between year and ticket price. Negative \( r \) means as year increases, price tends to decrease. "Likely" reflects the correlation (not guarantee), while other options misinterpret \( r \) as percentage/monetary change or absolute guarantee.

Answer:

A. Airline ticket prices are likely to decrease as time goes on.