---
title: "Lab 1"
author: "Name here"
date: "Due September 6, 2018"
output: html_document
---

Please use D2L to turn in both the HTML output and your R Markdown file in.

### Q1. (50 pts) 
For part a and b, simulate 100 points, create a plot to show the simulated data, and include a brief caption for each figure. Note your figure should be neat and contain appropriate titles, axes, and labels.

#### a. 
Include a linear trend in time and a random component

#### b. 
Include a linear trend, a seasonal cycle, and a random component

#### c. (STAT 536 only)
Write out the mathematical notation for the models in part a and part b.

### Q2. (50 pts)
For this question use a dataset containing individual bike trips from the Capital Bike Share program in Washington, D.C. The data can be downloaded at [http://math.montana.edu/ahoegh/teaching/stat408/datasets/biketrips2017.csv](http://math.montana.edu/ahoegh/teaching/stat408/datasets/biketrips2017.csv)

#### a. 
Using this dataset, create a plot of the number of bike trips by day. Include appropriate titles, labels, and a caption (a few sentences) to describe the figure.

#### b. 
Does this dataset give enough information to visualize or estimate a trend, why or why not?

#### c. 
Does this dataset give enough information to visualize or estimate a cyclical pattern, why or why not?

#### d. (STAT 536 only)
Redo, parts a - c, but now look at the number of trips by hour and day. You can reduce the dataset to only include the last 10 days.