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  3. Inference for Linear Regression in R

Exercise

Regression output: example I

The following code provides two equivalent methods for calculating the most important pieces of the linear model output. Recall that the p-value is the probability of the observed data (or more extreme) given the null hypothesis is true. As with inference in other settings, you will need the sampling distribution for the statistic (here the slope) assuming the null hypothesis is true. You will generate the null sampling distribution in later chapters, but for now, assume that the null sampling distribution is correct. Additionally, notice that the standard error of the slope and intercept estimates describe the variability of those estimates.

Instructions

100 XP
  • Load the mosaicData package and load the RailTrail data. The RailTrail data contains information about the number of users of a trail in Florence, MA and the weather for each day.
  • Using the lm() function, run a linear model regressing the volume of riders on the hightemp for the day. Assign the output of the lm() function to the object ride_lm.
  • Use the summary() function on the linear model output to see the inferential analysis (including the p-value for the slope).
  • Additionally, tidy() the linear model output to make it easier to use later.