Question

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).
   =  

Answer 1

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