Question

What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?

Answer 1

Answer:

The correct answer Is B ! i did a study on this before

Step-by-step explanation:

Answer 2

Answer with Step-by-step explanation:

The formula for correlation coefficient is:

$\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}$

          x            y          x²           y²          xy

          15           36       225       1296      540

          13           22       169        484        286

          12           6          144        36          72

          11           20         121        400        220

∑        51           84         659      2216       1118

Correlation coefficient=

$\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75$

Hence, correct option is:

A. 0.75