Given the plot below with 5 data points Solutionx y 1 2 2 3

Given the plot below with 5 data points

Solution

x

y

1

2

2

3

3

4

4

8

5

6

Regression Analysis

r²

0.728

n

5

r

0.853

k

1

Std. Error

1.449

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

16.9000

1  

16.9000

8.05

.0658

Residual

6.3000

3  

2.1000

Total

23.2000

4  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

95% lower

95% upper

Intercept

0.7000

1.5199

0.461

.6764

-4.1369

5.5369

x

1.3000

0.4583

2.837

.0658

-0.1584

2.7584

Observation

y

Predicted

Residual

1

2.0

2.0

-0.0

2

3.0

3.3

-0.3

3

4.0

4.6

-0.6

4

8.0

5.9

2.1

5

6.0

7.2

-1.2

Regression line y=0.7+1.3*x

When x=4, y=0.7+1.3*4=5.9

Answer: 8 - 5.9 = 2.1

x	y
1	2
2	3
3	4
4	8
5	6