This case will be based upon the brand new FBI’s 2006 crime statistics. Such as for example the audience is selecting the relationship anywhere between sized the fresh county plus the quantity of murders in town.

For that we check the scatterplot. The scatter plot indicates a good linear relationship, which allows us to conduct a linear regression analysis. We can also check the Pearson’s Bivariate Correlation and find that both variables are highly correlated (r = .959 with p < 0.001).

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Subsequently we have to search for multivariate normality. Within our analogy we find you to definitely multivariate normality might not be introduce.

The brand new Kolmogorov-Smirnov attempt verifies so it uncertainty (p = 0.002 and you may p = 0.006). Performing a ln-transformation with the a couple of details repairs the situation and you will sets multivariate normality (K-S try p = .991 and you may p = .543).

Within simple case we should instead merely are the details log_pop music and log_murder to your model while the based and independent details.

The field statistics allows us to are a lot more analytics that people need certainly to assess the validity of our linear regression data. (more…)