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

Mathematics

2 answers:

Pie3 years ago

6 0

Answer:

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

Step-by-step explanation:

vitfil [10]3 years ago

5 0

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

You might be interested in

Find the quotient of 5+4i/6+8i , and express it in the simplest form

Sergio [31]

Remember: i² = -1

$\frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i$

Hope this helps

7 0

4 years ago

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Alona [7]

Answer:

$f(x) = x^3 +5x^2-4x-20$