---
title: "STAT 516 hw ??"
author: "your name"
format: pdf
# format: html
---

# 1

## a) 

Here is my answer to question 1, part a, which has some math in it like $\bar X_n = \sum_{i=1}^n X_i$.

## b)

### i.

Here is my answer to question 1, part b, subpart i).  It displays a big equation

$$
\hat \beta_1 = \frac{\sum_{i=1}^n(x_i - \bar x_n)(Y_i - \bar Y_n)}{\sum_{i=1}^n(x_i - \bar x_n)^2}.
$$

### ii.

Here is my answer to question 1, part b, subpart ii).

# 2 

Here is my answer to question 2, which has a chunk of R code:

```{r}
x <- rnorm(1)
```

The value of `x` after running the above R code is `r x`.

# 3 

Here is my answer to question 3, which has a chunk of R code that makes a plot:

```{r}
plot(1:20,pch = 1:20)
```