Home » Fitting Statistical Models to Data with Python » What is true about multiple linear regression and marginal linear models when dependence is present in data?

What is true about multiple linear regression and marginal linear models when dependence is present in data?

The standard error in multiple linear regression and marginal linear models tends to be the same.

A multiple linear regression model is theoretically justified when there is dependence in the data.

Marginal linear model estimates and standard errors are meaningful due to the dependence of data, but only when dependence is strictly between observations within the same group.

The standard error in multiple linear regression tends to be higher than in marginal linear models.

What distribution do the true errors need to follow in order to perform various inference procedures in linear regression?

You wish to fit a model to a "forced choice" binary dependent variable measuring political party preference (if you had to pick a political party, which would you select: Democratic or Republican?),…

After publishing a research paper describing the results from the model fitted for Question #3, you are contacted by 20 other large hospitals, and they wish to contribute to the estimation of a model…

You are interested in estimating the relationship between gender (the IV) and a binary indicator of ever having experienced a major depressive disorder (the DV), where both variables were collected…

You want to fit a model that enables the prediction of a continuous measure of birth weight for all of the newborns at a single large hospital. The data arise from a simple random sample of 500…

What is clustered data?

You are interested in predicting the probability that an NCAA men's basketball team wins their first round game in the annual NCAA men's basketball tournament, where potential predictors of the binary…

Which of the following is NOT true regarding reasons why we fit marginal models?

Which of the following features has the highest correlation between two observations in the same cluster?

Which of the following are assumptions needed for conducting a hypothesis test on the population slope in a linear regression analysis? (Select all that apply.)

The figure below presents the fits of four different regression models to the same set of data, where there is a predictor variable (x) and a dependent variable (y) of interest. Which of the four…

Which of the following is a possible form/shape for a logistic regression model, where the y-axis represents the probability of success?

Background for Questions 7 - 13 In 1905, R.J. Gladstone conducted a study of the relationship between brain weight and size of the head. Brain weight (grams) and head size (cubic cm) measurements were…

If I observe now five people: the first three have an IQ of 110, and the last two have an IQ of 125, which of the following are true?

For this problem, we are going to be using the above code to recreate some of the mathematics behind the Introduction to Bayesian Statistics lecture. The math has already been worked out for you, so…