a least squares regression line bhow many manatee deaths do

a) least squares regression line
b)how many manatee deaths do we expect if there are 550,000 power boats registered

Solution

Regression Analysis

r²

0.833

n

18

r

0.913

k

1

Std. Error

5.399

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

2,325.8095

1  

2,325.8095

79.78

1.29E-07

Residual

466.4683

16  

29.1543

Total

2,792.2778

17  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=16)

p-value

95% lower

95% upper

Intercept

-35.1786

7.6957

-4.571

.0003

-51.4928

-18.8644

x

0.1127

0.0126

8.932

1.29E-07

0.0859

0.1394

Predicted values for: y

95% Confidence Interval

95% Prediction Interval

x

Predicted

lower

upper

lower

upper

Leverage

550

26.801

23.771

29.831

14.961

38.642

0.070

The regression line

Y = -35.1786 +0.1127*x

Predicted y when x=550, y =-35.1786 +0.1127*550 = 26.8

We expect 27 deaths.

Regression Analysis
	r²	0.833	n	18
	r	0.913	k	1
	Std. Error	5.399	Dep. Var.	y
ANOVA table
Source	SS	df	MS	F	p-value
Regression	2,325.8095	1	2,325.8095	79.78	1.29E-07
Residual	466.4683	16	29.1543
Total	2,792.2778	17
Regression output				confidence interval
variables	coefficients	std. error	t (df=16)	p-value	95% lower	95% upper
Intercept	-35.1786	7.6957	-4.571	.0003	-51.4928	-18.8644
x	0.1127	0.0126	8.932	1.29E-07	0.0859	0.1394
Predicted values for: y
		95% Confidence Interval	95% Prediction Interval
x	Predicted	lower	upper	lower	upper	Leverage
550	26.801	23.771	29.831	14.961	38.642	0.070