Question

Calculate Karl Pearson’s coefficient of correlation from the data given below. [3] Birth Rate (X) 24 26 32 33 35 30 Death Rate (Y) 15 20 22 24 27 24

Answer 1

Answer:

25and 20

Explanation:

24 26 32 33 35 30 Death Rate (Y) 15 20 22 24 27 24

Answer 2

Answer:

The value is negative, it indicates a strong negative correlation between the two variables, i.e., as the Birth Rate increases, the Death Rate decreases, and vice versa.

Explanation:

To calculate Karl Pearson's coefficient of correlation, we need to use the formula:

r = (NΣXY - ΣXΣY) / sqrt((NΣX^2 - (ΣX)^2)(NΣY^2 - (ΣY)^2))

where N is the number of data points, ΣXY is the sum of the product of X and Y, ΣX is the sum of X, ΣY is the sum of Y, ΣX^2 is the sum of the squares of X, and ΣY^2 is the sum of the squares of Y.

Given data:

Birth Rate (X) - 24 26 32 33 35 30

Death Rate (Y) - 15 20 22 24 27 24

Using the given formula, we get:

N = 6

ΣX = 180

ΣY = 132

ΣXY = 817

ΣX^2 = 6430

ΣY^2 = 3938

Substituting these values into the formula, we get:

r = (6 * 817 - 180 * 132) / sqrt((6 * 6430 - (180)^2)(6 * 3938 - (132)^2))

r = (4902 - 23760) / sqrt((38580 - 32400)(23628 - 17424))

r = -0.879

Therefore, Karl Pearson’s coefficient of correlation between Birth Rate and Death Rate is -0.879. Since the value is negative, it indicates a strong negative correlation between the two variables, i.e., as the Birth Rate increases, the Death Rate decreases, and vice versa.

To learn more about similar question visit:

https://brainly.in/question/25580154?referrer=searchResults

https://brainly.in/question/55065502?referrer=searchResults

#SPJ3