5. Data Analysis (part A)

Research question: Is a person's BMI related to his height?

H0: A person's BMI is not related to his height
H1: A person's BMI is related to his height.

Firstly, we generated a scatter plot to check for linearity and homogenous variance. This is to test for assumptions 3 and 4 of Pearson's r.
The scatter plot appears to follow a general positive linear trend, though the relationship is very weak. However, there is no violation of the linearity assumption.

Following that, we compute Pearson's r.


From the table above, Pearson's r value is 0.163. This shows that there is a positive but very weak relationship between BMI and height.
The p value is 0.391, which is more than 0.05. When p > 0.05, we fail to reject the null hypothesis (H0).

In conclusion, a person's BMI is not related to his height.