# Statistical Analysis: an Introduction using R/R/A simple R session

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Even though R has not been fully introduced yet, it is instructive to see how simple a useful R session can be. As an example, we will fit a statistical model using the cars data from the previous topic, and see how to produce a similar plot to Figure 1.2b, with a straight best-fit line. This is a common task in many simple analyses.
Note that unlike the examples in the graphics topic, we have plotted the data by specifying a model formula, rather than just giving the name of the dataset. Although in this case the resulting plot is the same as seen with

Some of the commands in this example will be unfamiliar: don't worry, the main point is not to understand the commands, but to get an overall sense of how R works. Nevertheless, if you *do* want to understand the commands fully, you will need to know about data frames (essentially, tables of data with named columns) and model formulae (essentially, a notation of the form

, meaning *a* ~ *b* + *c**a* is predicted by *b* and *c*).

###### Input:

```
1 plot(dist ~ speed, data=cars) #A common way of creating a specific plot is via a model formula
2 straight.line.model <- lm(dist~speed, data=cars) #This creates and stores a model ("lm" means "Linear Model").
3 abline(straight.line.model, col="red") #"abline" will also plot a straight line from a model
4 straight.line.model #Show model predictions (estimated slope & intercept of the line)
```

###### Result:

> plot(dist ~ speed, data=cars) #A common way of creating a specific plot is via a model formula > straight.line.model <- lm(dist~speed, data=cars) #This creates and stores a model ("lm" means "Linear Model"). > abline(straight.line.model, col="red") #"abline" will also plot a straight line from a model > straight.line.model #Show model predictions (estimated slope & intercept of the line) Call: lm(formula = dist ~ speed, data = cars) Coefficients: (Intercept) speed -17.579 3.932

`plot(cars)`

, the formula interface makes it clearer what is being plotted.