# S470/670 Problem set 4: Movie ratings solution

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## Description

Do longer movies tend to get higher IMDB ratings, after accounting for their year of release?
Get the data
and title.basics.tsv.gz. (You may need to download software to unzip the file, e.g. 7Zip.) The
unzipped files are in tab separated value form. (Warning: the latter file is about half a gigabyte
unzipped.)
Unzip the files and read them into R. Using read tsv or read delim is recommended, e.g.:
read_tsv(“title.ratings.tsv”, na = “\\N”, quote = ’’)
(Those are supposed to be straight quotes. You’ll get a few tens of thousands of warnings, but
these pertain to the variable endYear, which is irrelevant for our purposes.) Merge the two data
sets by the unique identifier tconst. We only want movies, so only keep data for which titleType
is “movie.” After doing this, I ended up with about 240,000 movies.
Questions
1. Fit a model to predict a movie’s IMDB rating (variable averageRating) by year (startYear)
and length (runtimeMinutes.) You will have to make a number of modeling choices:
(a) Do you need any transformations?
(b) Should you fit a linear model or something curved?
(d) Do you need to filter out or downweight tail values to prevent the fit from being dominated by outliers?
(e) Should you weight by number of votes?
Some of these choices are clear-cut, while others will be a matter of preference. You must
justify all your choices. You’ll be graded on the justification, not the choice (unless the choice
Note that computational concerns will also drive your modeling choices. For example, you
will not be able to put all the data into a loess unless you have a supercomputer.
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2. Draw ONE set of faceted plots to display the model — either condition on year or length,
whichever seems to you to be more interesting. Choose a sensible number of panels. Briefly
describe what this set of plots shows you.
3. Draw a raster-and-contour plot (or other “3D” plot of your choice) to further display your
model. The plot should show predictions for the majority of movie years and lengths (you
don’t have to show outliers.) Briefly describe what, if anything, this plot shows you that your
plot for question 2 didn’t.
4. Answer the substantive question: Do longer movies tend to get higher IMDB ratings, after
accounting for their year of release? (The answer will likely be more complicated than “yes”
or “no.”)
What to submit
Submit an R/Markdown code file to reproduce your fit and plots, and a write-up containing:
• The line of R code you used to produce your model.
• A justification of your modeling choices.
• TWO graphs and brief comments on those two graphs. (You should draw many more than
two graphs when deciding what model to fit, but only include two graphs in your submission.)
• An answer to the substantive question.
You don’t have to upload the data.
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