Home » Fitting Statistical Models to Data with Python » 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? 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? 6. Question 6 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? 1 point The posterior mean is the average of 110, 110, 110, 125, and 125 The posterior mean is equal to 110 The posterior mean is equal to 100 The posterior mean is equal to 125 The posterior mean is equal to 115.717 The posterior standard deviation is the same as the prior standard deviation The posterior standard deviation is greater than the prior standard deviation The posterior standard deviation is less than the prior standard deviation The posterior standard deviation is equal to 10 The posterior standard deviation is equal to 1.768 The posterior standard deviation is equal to 3 Other Questions Of This Category Now, lets say that I observe two more people and I see that they also have IQs of 110. So we have three people with IQs of 110. How does the variance of my estimate change from my prior? We can do…Let's say that we observe a person with an IQ of 125, as we did in the lecture. Which way should the posterior distribution, after our Bayesian update, shift?NHANES records whether an individual has smoked 100 cigarettes or more. The next few questions will focus on fitting models to predict whether someone has smoked 100+ cigarettes. First, a model is fit…A new model was fit, this time adding in the two categorical variables Sex (0=male, 1=female) and Age (0=young, 20-46 years old, 1= old, 46+ years old), the model summary is shown belowWhat is the posterior mean after observing three people with an IQ of 110 in a row?Next, a model is fit adding Age as an additional covariate to BMI as the variables predicting smoking status. The output is here: What does the coefficient of 0.0169 mean in context?Fill in the blanks. With 95% confidence, I estimate that the increase in log odds of smoking 100+ cigarettes for each increase by one in BMI, while holding Age constant, is between ____ and ____, on…A study was conducted to model the linear relationship between Las Vegas nightly hotel cost (dollars) and hotel rating (on a 100 point scale). Nightly hotel cost will be used to predict hotel rating.…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…The study relating brain weight (grams) and head size (cubic cm) yielded an R-squared of 0.6393. Which of the following is a correct interpretation of the R-squared?What is true about multiple linear regression and marginal linear models when dependence is present in data?We’d like to predict the log odds of smoking 100+ cigarettes for a given individual using the logistic regression model with the two variables: BMI and Age. For an individual with a BMI of 22 who is…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…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…Two probabilities have been transformed using the logit function. The two values after transformation are -2 and 0.25. Which of the two values corresponds to a higher original probability?