Question

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. manatees < y < L1 manatees Round to three decimal places as needed.)

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

Answer 1

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