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

Solution:

a)

b)

c) Given that x =6

We got regression equation y =7.6 + 0.9*x

y = 7.6 + 0.9*6

= 7.6 + 5.4

= 13.0