Data$-210-$Lecture$-1-$Homework.pdf

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Lecture $1$: R Review & RMarkdown

Homework Problems

These questions will assist in bolstering your understanding of the material in Lecture $1.$ While you are encouraged to complete all of them on your own, you will only be required to submit one of them for grading $($if you want me to look over your other ones let me know$).$ Emphasis should be placed on having the correct code$/$output as well as communication. For each part, you should explain what you are doing as well as what the output is telling us$.$ Having just the code$/$output will not receive full credit. The deliverable should be a knitted RMarkdown document. Grading will use the EMRN rubric found in the syllabus.

Answer the following questions:

$($a$)$ Create a vector named "probl" which has the values:

$1,4,10,5,20,17,7,18,17,1$

$($b$)$

$($c$)$ Display all values of "prob$1"$ which are not within $5$ of the median and run a function to count how many meet this criterin

$($d$)$ Create a new vector called "prob$1\_$mult" which is made up of each element of "prob$1"$ multiplied by it's index

$($c$)$ Display all values of "probl$\_$mult" which are greater than $3$ times the mean of "prob$1"$

$($f$)$ Find the proportion of values in "prob$1\_$mult" which are greater than or equal to $100$ or equal to $8$

$2.$ Answer the following questions:

$($a$)$ Create a vector named "prob$2"$ which has the values:

$160,172,155,168,175,162,180,150,190,187$

$($b$)$ Calculate the mean, median, and standard deviation value for the vector

$($c$)$ Display all values of "prob$2"$ which are below the mean

$($d$)$ What proportion of values are within $1$ standard deviation of the mean?

$($e$)$ Find the z$-$score for each element and save it to a new vector called "prob$2\_$score"

$($f$)$ Calculate the sum of the even$-$indexed elements for this vector $($do not type it out as $c(2,4,6,$dots$)$ but do it more elegantly so it can be scaled up for larger datasets$)$