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 diagra

Question

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.

in progress 0
Kennedy 3 weeks 2021-09-27T02:48:51+00:00 1 Answer 0

Answers ( )

    0
    2021-09-27T02:50:50+00:00

    Answer:

    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

    b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }

    b= \frac{1001-\frac{50*83}{5} }{690-\frac{50^2}{5} } = 0.9

    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!

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )