Question

Joseph bought a brand new car 6 years ago for $22,250. The table below shows v(n), the value of the car t years since it was purchased

What is the correlation coefficient between 1 and v(n), and what does the coefficient indicate?
The correlation coefficient is -0.955 and indicates a very weak linear association
The correlation coefficient is -0.913 and indicates a very weak linear association
The correlation coefficient is -0.913 and indicates a strong negative linear association
The correlation coefficient is -0.955 and indicates a strong negative linear association
F.
G
H.
J
t
0
1
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5
6
v(t) $22,250 $16.200 $11.700 $8,100 $6,300 $4.950 $3.825
5

Answer 1

Explanation:

The correlation coefficient between 1 and v(n) is -0.913, and this coefficient indicates a strong negative linear association. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.913, which indicates a strong negative relationship between 1 and v(n). This means that as the value of 1 increases, the value of v(n) decreases, and vice versa. This relationship is linear, which means that it can be described by a straight line. Overall, the correlation coefficient indicates a strong negative linear association between 1 and v(n).