Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 26, 2023

Find the r-value with the strongest negative correlation: $-0.9$ , $-0.6$ , $-0.7$ , or $-0.8$ .

STEP 1

Assumptions1. The r-values given are -0.9, -0.6, -0.7, and -0.8. The r-value, also known as the correlation coefficient, measures the strength and direction of a linear relationship between two variables on a scatterplot.
3. The value of r is always between -1 and1 inclusive.
4. An r-value of -1 indicates a perfect negative linear relationship, an r-value of1 indicates a perfect positive linear relationship, and an r-value of0 indicates no linear relationship.

STEP 2

In this problem, we are asked to find the r-value that represents the strongest correlation. The strength of the correlation is determined by the absolute value of the r-value, not its sign. $|r| = Absolute\, value\, of\, r$

STEP 3

Calculate the absolute values of the given r-values.
$|-0.9| =0.9$ $|-0.6| =0.6$ $|-0.7| =0.7$ $|-0.8| =0.8$

STEP 4

Now, compare the absolute values of the r-values. The r-value with the highest absolute value represents the strongest correlation.
The r-value with the highest absolute value is0.9, which corresponds to the original r-value of -0.9.
So, the r-value that represents the strongest correlation is -0.9.

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms