## 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.

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Math
3 weeks
2021-09-27T02:48:51+00:00
2021-09-27T02:48:51+00:00 1 Answer
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## Answers ( )

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

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!