Answered: For the horseshoe crab data, fit the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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For the horseshoe crab data, fit the logistic regression model for π = probability of a satellite, using weight as the predictor. Data source (Horseshoe crab data set of Table 4.3): https://users.stat.ufl.edu/~aa/cda/data.html Note: In the original data set, weights are in grams rather than kg. Correct the unit by adding a new column which convert weight into kg and run the logistic regression with correct weight variable. a. Report the ML prediction equation. b. Find at the weight values 1.20, 2.44, and 5.20 kg, which are the sample minimum, mean, and maximum. c. Find the weight at which = 0.50 d. Ignore part d e. Construct a 95% confidence interval to describe the effect of weight on the odds of a satellite. Interpret. f. Conduct the Wald or likelihood-ratio test of the hypothesis that weight has no effect. Report the P -value and interpret.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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