1. IN R PROGRAMMING

A regression through the origin model may be used when specific knowledge about the problem at hand suggests that the response variable is zero if and only if the predictor variable is zero. For such problems, the model can be written as

(a) Derive the least-squares estimate of .

(b) Run the following R code:

Use the formula you derived in part (a) above to estimate based on this data, and draw a scatterplot of the data with the fitted line overlaid.

(c) Perform the regression through origin using the R function lm on the same data.

GY-1: set.seed (123) -rnorm(50) -24x+rnorm (50) y GY-1: set.seed (123) -rnorm(50) -24x+rnorm (50) y