Exam 1

1. Question

   Using the data provided in regression.csv estimate a linear regression of y on x and answer the following questions.
   
   
   1. x and y are not significantly correlated / y increases significantly with x / y decreases significantly with x
   2. Estimated slope with respect to x:
   
   

   Solution

   
   To replicate the analysis in R:

   ## data
   d <- read.csv("regression.csv")
   ## regression
   m <- lm(y ~ x, data = d)
   summary(m)
   ## visualization
   plot(y ~ x, data = d)
   abline(m)