Shown in the graph is a least squares linear regression of a

Shown in the graph is a least squares linear regression of a farmer\'s actual corn production. What is the 90% confidence interval for the slope of the regression line? The mean squared error (MSE) associated with the actual production is 6.79.

Solution

Regression Analysis

r²

0.980

n

5

r

0.990

k

1

Std. Error

2.606

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

979.6296

1  

979.6296

144.27

.0012

Residual

20.3704

3  

6.7901

Total

1,000.0000

4  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

90% lower

90% upper

Intercept

28.704

2.122

13.529

0.001

23.711

33.697

x

0.426

0.035

12.011

0.001

0.342

0.509

Answer A.   0.344 < slope < 0.508

Regression Analysis
	r²	0.980	n	5
	r	0.990	k	1
	Std. Error	2.606	Dep. Var.	y
ANOVA table
Source	SS	df	MS	F	p-value
Regression	979.6296	1	979.6296	144.27	.0012
Residual	20.3704	3	6.7901
Total	1,000.0000	4
Regression output				confidence interval
variables	coefficients	std. error	t (df=3)	p-value	90% lower	90% upper
Intercept	28.704	2.122	13.529	0.001	23.711	33.697
x	0.426	0.035	12.011	0.001	0.342	0.509