3. a set of n = 18 pairs of scores (x and y values) has ssx = 20, ssy = 80, and sp = 10. if the mean for the x values is mx = 8 and the mean for the y values is my = 10. a. calculate the pearson correlation for the scores. b. find the regression equation for predicting y from the x values. gravetter, frederick j. statistics for the behavioral sciences (p. 556). cengage learning. kindle edition.

a. Pearson Correlation

r=  or 0,25

b. The regression equation is

Step-by-step explanation:

a. Pearson Correlation

Using the equation for Pearson correlation:

b. Regression

Using regression equation

1.  

2.

3.

So replacing first 'b' because is content in 'a' equation

Knowing 'b' can know 'a' and complete the equation

Replacing in the equation 1:

1.  

70,000 + 6,000 + 800 + 30

step-by-step explanation:

(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