Question

# Given are five observations collected in a regression study on two variables. xi 2   6 9...

Given are five observations collected in a regression study on two variables.

 xi 2 6 9 13 20 yi 7 18 9 26 23

1. Which of the following scatter diagrams accurately represents the data?

Scatter diagram #1

Scatter diagram #2

Scatter diagram #3

SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1
2. Compute b0 and b1 (to 1 decimal).
b1
b0

Complete the estimated regression equation (to 1 decimal).
=   +  x
3. Use the estimated regression equation to predict the value of y when x = 6 (to 1 decimal).
=

The calculations are below

 x y s1=(x-m1)^2 s1=(y-m2)^2 s3=(x-m1)*(y-m2) 2 7 64 92.16 76.8 6 18 16 1.96 -5.6 9 9 1 57.76 7.6 13 26 9 88.36 28.2 20 23 100 40.96 64 m1=sum(x)/5 m2=sum(y)/5 s2x=sum(s1)/4 s2y=sum(s2)/8 sxy=sum(s1)/8 10 16.6 47.5 70.3 42.75 sx=sqrt(s1x) sy=sqrt(s1y) 6.892 8.3845

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