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STAT5003 (NE) STAT5003 Tutorial Quiz 2

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Which ggplot2 geometry corresponds to the base R function plot() ? [ Select ] geom_point() geom_boxplot() geom_density() geom_histogram() Evaluate each statement and indicate whether it is true or false: A. R2 measures the proportion of the variance in the target variable that is predictable from the feature variables, and it ranges from 0 to 1. TRUE B. A R2 value closer to 1 always indicates that the feature variables are the cause of changes in the target variable. [ Select ] TRUE FALSE C. R2 does not account for the number of feature variables in the model, which can lead to overfitting if too many features are included. [ Select ] TRUE FALSE D. R2 can be used to measure the goodness of fit of both linear and non-linear models FALSE Given the density estimation plot below, match the appropriate bandwidth to the estimated density line. The bandwidths are: h <- c(0.1, 2, 5) plot of chunk unnamed-chunk-1 The red density curve corresponds to the bandwidth h = [ Select ] 2 0.1 5 The green density curve corresponds to the bandwidth h = [ Select ] 2 0.1 5 The blue density curve corresponds to the bandwidth h = [ Select ] 5 2 0.1

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We start by restating the question components to ensure clarity before diving into each option. Question part 1: Which ggplot2 geometry corresponds to the base R function plot() ? Options: geom_point(), geom_boxplot(), geom_density(), geom_histogram(). Question part 2: Evaluate each statement about R^2 as True/False. Statements A–D, with their true/false placeholders. Question part 3: Density bandwidth matching: given h values 0.1, 2, 5, assign to red, green, and blue curves in the density plot. Analyzing the first set of options for the ggplot2 geometry mapping: - Option geom_point(): This geometry draws points and is commonly used to represent scatterplots, which is a natural analogue for the base R plot() when plotting a pair of numeric vectors. Since plot(x, y) in base R produces a scatter of points by default, geom_point() is the most reasonable ggplot2 equivalent among the choices. - Option geom_boxplot(): This draws box......Login to view full explanation

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