Download the dataset to your computer and read it into r using the read.csv() function.

Published by Jeannie R. Ferrell

Dec 8, 2022


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To complete this homework assignment, download the homework template PS2_Template.Rmd and
complete the whole assignment using R Markdown. Submit the final PDF you created using Knit
PDF. If you get an error message compiling–knitting–your assignment as PDF directly, you can
compile the document using Knit HTML, open it in a browser, and then use your browser’s Print
as PDF function. PDF is the only acceptable format for homework submissions.
1 Linear Regression 1 [Applied]
The Data Sets module folder on Canvas contains a dataset called ps2_ex1. The dataset contains
outcome y and predictor variables x1, x2 for 40 data points. There are an additional 20 obersvations
with values for predictor variables but no observed outcome. Download the dataset to your computer
and read it into R using the read.csv() function. [5 points]
1. Use R to fit a linear regression model predicting y from x1, x2, using the first 40 data points
in the file. Summarize the inferences (i.e., p-values) and check the fit of your model (i.e.,
). Explain your findings. Hint: R will automatically detect that y is NA for the last 20
observations and will automatically drop them while running lm() – so there is nothing specific
you need to do. You can confirm this by looking at the “number of observations” shown in
the summary() output. [2 points]
2. Display the estimated model graphically (Hint: numerical variables make great candidates for
for x/y axes; categorical variables can be mapped to colors.) [1 point]
3. Make predictions for the remaining 20 data points in the file that have missing observations.
How confident do you feel about these predictions? [2 points]
2 Linear Regression 2 [Applied]
Simulate two variables that are statistcally independent of each other to see what happens when we
run a regression of one on the other. [5 points]
1. First, generate 1,000 data points drawn randomly from a normal distribution with mean = 1
and standard deviaiton = 2 by typing var1


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