Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20
yi 7 18 9 26 23a. Develop a scatter diagram for these data. b. Develop the estimated regression equation for these data.

Step-by-step explanation:

Hello!

Given the data sets for the variables:

Yi: 7; 18; 9; 26; 23

Xi: 2; 6; 9; 13; 20

You have to estimate the regression equation: ^Y= a + bXi

For this you need the auxiliary calculations:

∑X= 50

∑X²= 690

∑Y= 83

∑Y²= 1659

∑XY= 1001

X[bar]= ∑X/n= 50/5= 10

Y[bar]= ∑Y/n= 83/5= 16.6

a= Y[bar]-bX[bar]= 16.6-(0.9*10)

a= 7.6

The estimated regression equation is ^Y= 7.6 + 0.9Xi

I hope it helps!

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0