Boats (tens of thousands) Manatees x y 65 53 71 36 67 35 69 48 74 44 74 58 75 55
ID: 2946312 • Letter: B
Question
Boats (tens of thousands) Manatees
x y
65 53
71 36
67 35
69 48
74 44
74 58
75 55
82 65
84 81
81 80
89 80
89 94
97 72
93 67
99 77
98 92
97 71
100 92
92 97
93 81
88 90
87 82
92 71
92 66
Use the accompanying paired data conslisting of registered boats (tens of thousands) and manatee fatalities from boat enccunters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. rediction inte al estimate of manatee deaths. Use x 83 or 830.000 registered boats with a 99% confidence en Use the gr en number o registered boats and the g en confidence level to construct a ?Click the icon to view the boats and manatee data. Find the indicated prediction interval. manateesExplanation / Answer
Result:
99% prediction interval = (33.586, 100.984)
Regression Analysis
r²
0.602
n
24
r
0.776
k
1
Std. Error
11.703
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
4,548.0215
1
4,548.0215
33.21
0.0000
Residual
3,012.9369
22
136.9517
Total
7,560.9583
23
Regression output
confidence interval
variables
coefficients
std. error
t (df=22)
p-value
99% lower
99% upper
Intercept
-39.6614
19.2290
-2.063
.0512
-93.8634
14.5405
x
1.2885
0.2236
5.763
0.0000
0.6583
1.9188
Predicted values for: y
99% Confidence Interval
99% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
83
67.285
60.393
74.177
33.586
100.984
0.044
Regression Analysis
r²
0.602
n
24
r
0.776
k
1
Std. Error
11.703
Dep. Var.
y
ANOVA table
Source
SS
df
MS
F
p-value
Regression
4,548.0215
1
4,548.0215
33.21
0.0000
Residual
3,012.9369
22
136.9517
Total
7,560.9583
23
Regression output
confidence interval
variables
coefficients
std. error
t (df=22)
p-value
99% lower
99% upper
Intercept
-39.6614
19.2290
-2.063
.0512
-93.8634
14.5405
x
1.2885
0.2236
5.763
0.0000
0.6583
1.9188
Predicted values for: y
99% Confidence Interval
99% Prediction Interval
x
Predicted
lower
upper
lower
upper
Leverage
83
67.285
60.393
74.177
33.586
100.984
0.044