# Problems

Hone your R skills by doing problems.

1 2 3 4 5 6 7 8 9 10
educ 15 11 15 16 9 7 10 11 13 16
child 2 2 1 0 3 5 3 4 2 0

# 1 You collected the above set of data on years of education and

number of children for a sample of 10 married adults:

## 1.2 Use plot() with abline() or ggplot() with geom_smooth() to draw the

regression line on the scatterplot.

## 1.3 Use R to calculate the regression slope and intercept. Report the

results in equation form, i.e. $$y=\alpha+\beta x$$.

# 2 Use the lm() function to find the relationship between C and F.

You should find a linear equation of the form $$y=mx+b$$. Hint: we know that 0 degree C equals 32 degree F, and that -40 degree C equals -40 degree F. Show your R code.

# 3 Use the cars package that is included in R. Type head(cars).

These are breaking distance, in feet, as they relate to the car speed, in mph.

## 3.1 Create a linear model

Capture the relashionship between speed and distance.

## 3.2 Use R, to find an estimate for the parameters of your model.

Report your results in one equation.