Statistics-QA438

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This problem uses one of the datasets in the R base distribution, called “attitude”. It contains aggregated results of a survey of employees in a financial organization. ?attitude The variable called “rating” is the employees’ overall rating of the company, and the other variables are responses to individual questions. We want to fit linear models with “rating” as the outcome variable and one or more of the other responses as covariates.
 
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(a) Fit a linear model for “rating” with “learning” as the only covariate. Report the two coefficients for the intercept and slope and their standard errors as calculated using normal least-squares theory.
 
(b) By bootstrapping cases, calculate the standard error of the coefficient for “learning” in the model fitted in part 1a, and also a 95% BCa confidence interval for this coefficient.
 
(c) Repeat part 1b but this time bootstrap residuals instead of cases.
 
(d) Fit four linear models with the following sets of covariates, each with “rating” as the outcome: • “learning”
 
• “learning”, “complaints”
• “learning”, “complaints”, “advance”
• “learning”, “complaints”, “advance”, “raises”
 
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