Question

use a graphing calculator to find the equation of the line of best fit for the data. find the value of the correlation coefficient r. predict the missing value in the table.

1. johns best discus throws

9.

1. use the linear regression function on your graphing calculator to find the line of best fit equation for the table.

corinne is trying to find the data set with the strongest negative correlation. the correlation coeffici sets are listed. which data set should corinne choose?
a. -0.989
c. 0.417
b. -0.265
d. 0.993

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient \( r \) measures the strength and direction of a linear relationship. For negative correlation, \( r<0 \). The closer \( |r| \) is to \( 1 \), the stronger the correlation.

Step2: Compare values

• For option a: \( r = - 0.989 \), \( |r|=0.989 \)
• For option b: \( r=-0.265 \), \( |r| = 0.265 \)
• Option c: \( r = 0.417>0 \), positive correlation
• Option d: \( r=0.993>0 \), positive correlation

Since \( 0.989>0.265 \) and we are looking for the strongest negative correlation (negative \( r \) with largest \( |r| \))

Answer:

A. - 0.989