Question

1. bella recorded data and used her graphing calculator to find the equation for the line of best fit. she then used the correlation coefficient to determine the strength of the linear fit. which correlation coefficient represents the strongest linear relationship? (1) 0.9 (3) -0.3 (2) 0.5 (4) -0.8

Explanation:

Step1: Understand the concept of correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The closer \(|r|\) is to \(1\), the stronger the linear relationship.

Step2: Calculate the absolute values of the given coefficients

For \(r_1 = 0.9\), \(|r_1|=|0.9| = 0.9\).
For \(r_2 = 0.5\), \(|r_2|=|0.5| = 0.5\).
For \(r_3=-0.3\), \(|r_3|=|-0.3| = 0.3\).
For \(r_4=-0.8\), \(|r_4|=|-0.8| = 0.8\).

Step3: Compare the absolute values

Since \(0.9>0.8 > 0.5>0.3\)

Answer:

(1) \(0.9\)