Unless otherwise stated, carry out inferences using a = 0.05. Hypotheses should be written in terms of parameters when p

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Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When P 1 (65.56 KiB) Viewed 157 times

Unless Otherwise Stated Carry Out Inferences Using A 0 05 Hypotheses Should Be Written In Terms Of Parameters When P 2 (77.73 KiB) Viewed 157 times

Unless otherwise stated, carry out inferences using a = 0.05. Hypotheses should be written in terms of parameters when possible, and conclusions of hypothesis tests should be given using the context of the problem. Obesity researchers randomly selected 50 male patients to a local clinic, and obtained permission to access their medical records; the data appear in a file called bodyfat21.txt. The continuous variables in the data set are the subjects' percent body fat, their age (years), waist size (inches), thigh circumference (cm), bicep circumference (cm), and wrist circumference (cm). a) Ensure that you have correctly read in the full data set by reproducing the sample mean of the percent body fat variable as 17.37. b) The researchers wish to build a model in which percent body fat is the response variable, and the available predictors are the five measurements listed earlier. Generate the matrix of sample correlations between the response variable and the five predictors. Comment on any variables that appear to be strongly related to the response. Also comment on any cause for concern that you see. c) Fit the full first-order model in five predictors. Provide a table of output displaying estimates of the regression parameters, and a separate table containing Rg. Comment on the variance inflation factors for this model. d) Use Minitab to obtain a model chosen by forward selection, using a = 0.05. Provide the estimated regression function, the coefficients table, and a table of output detailing the actions taken at each step in the automated procedure. Write a summary statement describing what happened at each step of the process.
Pct.BF Age Waist Thigh Bicep Wrist 14.9 56 35.19685 58.4 34.6 18.8 5.2 55 32.598425 54.4 29.4 17 16 47 33.897638 58.1 30.6 17.6 12.2 43 35.11811 60.2 31.7 18.6 15.2 28 38.897638 63.4 33 19.9 16.7 40 34.094488 55.9 29.8 17.3 10.1 27 28.661417 53.6 27.8 17.4 25.4 43 38.818898 59.5 30.1 17.7 10.9 55 37.519685 57.4 34.1 19.2 8 51 32.283465 49.3 29.6 16.9 18.7 50 38.425197 60 32.7 19 16 28 35.275591 64.2 37.2 18.5 21.4 40 36.338583 57.5 32.1 17.3 26.1 62 41.259843 61.6 36.2 20.2 15.6 31 30.07874 57.4 27.9 16.7 19.2 26 35.708661 58.4 31.9 17.7 9.6 38 36.062992 60.6 31.6 18.5 4 47 27.716535 50.6 26.8 16.8 10.6 57 34.015748 53 31.7 16.9 19.2 35 37.440945 64.8 36.4 19.4 12.3 23 33.543307 59 32 17.1 27 70 37.362205 56 31.2 19.2 16.936 35.551181 59.2 32.4 17.8 14.972 34.685039 57.2 32.6 18.8 12.4 54 36.141732 57.7 31.4 18.9