What is the r value of the following data to three decimal places x y 4 2 5 9 8 10 9 12 13 23

0.953081279

Step-by-step explanation:

we have been given the following data set;

x; 4, 5, 8, 9, 13

y; 2, 9, 10, 12, 23

We are required to determine the r value of the data set.The r-value is the correlation coefficient that is used to measure the degree of association between two variables. It gives us information on the strength and direction of the association.

We can easily compute r in Ms. Excel;

We first enter the data into any two adjacent columns of an excel workbook.

Then we proceed to type;

=CORREL

into any blank cell. This is an in-built function that computes the correlation coefficient. Ms. Excel returns a value of  0.953081279

as the r value

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240