### Example: Regression

As another example of RinRuby usage, consider the usage of RinRuby for simple linear regression below. The simulation parameters are deﬁned in Ruby, computations are performed in R, and Ruby reports the results. In a more eloborate application, the simulation parameter might come from input from a graphical user interface, the statistical analysis might be more involved, and the results might be an HTML page or PDF report.

### Code:

require "rinruby"
n = 10
beta_0 = 1
beta_1 = 0.25
alpha = 0.05
seed = 23423
R.x = (1..n).entries
R.eval <<EOF
set.seed(#{seed})
y <- #{beta_0} + #{beta_1}*x + rnorm(#{n})
fit <- lm( y ~ x )
est <- round(coef(fit),3)
pvalue <- summary(fit)\$coefficients[2,4]
EOF
puts "E(y|x) ~= #{R.est[0]} + #{R.est[1]} * x"
if R.pvalue < alpha
puts "Reject the null hypothesis and conclude that x and y are related."
else
puts "There is insufficient evidence to conclude that x and y are related."
end

### Output:

E(y|x) ~= 1.264 + 0.273 * x
Reject the null hypothesis and conclude that x and y are related.