LAB 1 - Intro to R Solution
```{r setup, include=FALSE} knitr::opts_chunk$set(echo = TRUE) library(tidyverse) library(openintro) ``` ## Exercise 1 ```{r, message=F, warning=F} (2.59 - 22/7)/(10 - sqrt(23)) #2 Points ``` ## Exercise 2 ### Part 1 ```{r, message=F, warning=F} log(pi) #2 Points ``` ### Part 2 ```{r, message=F, warning=F} exp(2*pi^2) #2 Points ``` OR ```{r, message=F, warning=F} log(exp(2*pi^2)) ``` ## Exercise 3 ```{r, message=F, warning=F} a = 3 #4 Points b = 7 (a+b)^2 a^2 + 2*a*b + b^2 ``` As we can see, both $(a+b)^2$ and $a^2+2ab+b^2$ output the same numbers. ## Exercise 4 ```{r, message=F, warning=F} x1 = c(1,2,3,4,5) #4 Points x2 = c(6,9,1,11,5) (x1^2 + x2)/2 ``` ## Exercise 5 ```{r, message=F, warning=F} x3 = c(7,6,8,5,5,9,1) #4 Points x4 = c(1,2,3) x3 + x4 ``` We still obtain a result even though x3 and x4 are vectors with different lengths. This is because R replicates the smaller vector multiple times to match the size of the larger vector. That is, in the background R creates x4 as `x4 = c(1,2,3,1,2,3,1)` which is of length 7, same as x3. This makes sense based on the output given for the addition. ## Exercise 6 ```{r, message=F, warning=F} glimpse(arbuthnot) #Not necessary for the exercise arbuthnot$girls #2 Points ```
