A set of n = 5 pairs of x and y values has ssx = 10, ssy = 40 and sp = 10. for these data, the pearson correlation is

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

r = correlation coefficient

$r = \frac{Sxy}{\sqrt{Sxx * Syy}}$

If: Sxx = 10, Syy = 40, Sxy = 10, then:

$r = \frac{10}{\sqrt{10 * 40}} \\\\ = \frac{10}{\sqrt{400}} \\\\ = \frac{10}{20} \\\\ = \frac{1}{2}$

You might be interested in

An artist uses 18 colors on an art palette to paint a picture. This is 72% of all the colors on the palette. How many colors are

brilliants [131]

Answer:

He actually has 25 paints.

Step-by-step explanation:

This is because you take 18x100(100 is the total % under 72 because 72 is out of 100) that equals 1800. then, you take 1800 and divide it by 72. That is because 72 is the actual number that we already have. You would get 25 after dividing. hope this helps:)

3 0

3 years ago

Read 2 more answers

Factoring trinomials

Tcecarenko [31]

$c^2$ $2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)$

This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying $c^2$ . This is the second line. Then, you could take the square of the $4c^2$ , ant try to create a factor () () that will correspond to the expression in the second line. That is, we want $4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)$

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have $(2c + 6) (2c +7)$