An Introduction to Statistical Methods and Data Analysis
An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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Compute the forecasted values for Yt for July and August in 2020 by using the modelsstated in (c) and (d)
For some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1 is the frequency at age t1, and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 − m1)/(t2 − t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per μgDNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per μg DNA. Assume that age is measured with negligible uncertainty.a) Estimate the yearly rate of increase, and find the uncertainty in the estimate.b) Find the relative uncertainty in the estimated rate of increase.
The accompanying data file contains 40 observations on the response variable y along with the predictor variables x1 and x2. Use the holdout method to compare the predictability of the linear model with the exponential model using the first 30 observations for training and the remaining 10 observations for validation. y x1 x2 533.86 20 30 104.84 15 20 64.89 20 23 159.61 16 21 43.06 13 16 4.27 13 13 736.56 15 30 64.89 20 23 10.64 20 22 76.90 18 20 4.89 11 13 80.90 11 16 224.17 12 19 45.75 16 25 8.13 17 17 319.97 13 30 48.61 19 25 564.67 12 27 111.87 11 25 152.39 13 24 13.34 18 14 28.80 15 22 37.56 13 15 105.62 17 26 44.05 18 21 451.65 17 28 10.34 18 21 32.70 12 13 19.21 14 12 14.02 15 16 2.45 16 12 2.48 20 15 50.34 17 21 29.31 17 20 33.75 16 12 196.28 17 29 943.12 13 30 7.25 10 12 89.73 15 25 32.91 12 18 1. Use the training set to estimate Models 1 and 2. Note: Negative values should be indicated by a…
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