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This post is followoing of previous post above. In this post, I will do multiple regression analysis using 'infer' package workflow with R.
I use 'df' data frame. First, I add log(gdp) into the 'df'.
Let's see observed slope parameters.
The result means l_pc_gdp has positive relationship to trust, on the contrary, year has negative relationship to trust.
This estimates can be get with lm() function.
Next, let's generate bootstrap distribution.
I use visualize() function to see eatimate histograms.
I see l_pc_gdp histogram does not include value = 0. so l_pc_gdp seems significant variable. On the contrary, year histogram include value 0, so it maybe not significant.
Let's calculate 95% level confidence intervals.
l_pc_gdp confidence interval is between 12.3 and 17.7, it does not include 0.
year confidence interval is between -0.4523 and 0.0297, it include 0.
let's compare theoretical-base(formula-base) confidence interval.
theoretical-base confidence intervals are similar to simulation-base('infer' package workflow) confidence intervals.
Let's shade simulation-base confidence intervals.
That's it. Thank you!
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