Question

3.23 quiz: correlation. after entering the table values in his calculator, cory used the linreg button to get the results shown. identify the correlation coefficient and the type of correlation.

x	y
5	13
7	2
9	-11
11	8

linreg
y=ax + b
a=-0.7704918033
b=8.639344262
r²=0.0890851531
r=-0.2984713607

Explanation:

Step1: Recall correlation - coefficient notation

The correlation coefficient is denoted by $r$.

Step2: Identify from calculator output

From the Lin - Reg output, $r = - 0.2984713607$.

Step3: Determine type of correlation

Since $r$ is negative ($r=-0.2984713607$), it is a negative correlation. A negative correlation means that as the value of $x$ increases, the value of $y$ tends to decrease.

Answer:

The correlation coefficient is $r=-0.2984713607$ and the type of correlation is negative correlation.