Use the accompanying paired data consisting of registered boats (tens of thousan
ID: 2926523 • Letter: U
Question
Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Use x=95 (for 950,000 registered boats) with a 99% confidence level. I can use MINITAB if that makes it easier to explain. I do not have a Ti. Of course I dont mind working these out by hand.
Find the indicated prediction interval.
Boats (tens of thousands) Manatees 71 53 72 38 70 35 74 49 74 42 76 60 79 54 85 67 86 82 88 78 93 81 96 95 97 73 99 69 101 79 103 92 103 73 100 90 99 97 93 83 94 88 90 81 94 73 94 68Explanation / Answer
99% prediction interval (lower,upper) = (72.899,85.871)
Regression Analysis r² 0.716 n 24 r 0.846 k 1 Std. Error 9.772 Dep. Var. Manatees ANOVA table Source SS df MS F p-value Regression 5,304.6158 1 5,304.6158 55.55 1.87E-07 Residual 2,100.7176 22 95.4872 Total 7,405.3333 23 Regression output confidence interval variables coefficients std. error t (df=22) p-value 99% lower 99% upper Intercept -51.4687 16.5297 -3.114 .0051 -98.0619 -4.8756 Boats (tens of thousands) 1.3774 0.1848 7.453 1.87E-07 0.8565 1.8983 Predicted values for: Manatees 99% Confidence Interval 99% Prediction Interval Boats (tens of thousands) Predicted lower upper lower upper Leverage 95 79.385 72.899 85.871 51.087 107.682 0.055Related Questions
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