The plots seem to follow a positve trend. To check for the strength of the relationship between height and BMI, we then computed the Pearson's correlation coefficient.
From the table above, the Pearson's correlation coefficient of 0.239 indicates a very weak positive correlation between height and BMI.Also the p value is 0.137 which is greater than 0.05 and so we do not reject the null hypothesis. Therefore, there is no significant relation between a person's BMI and his height.
Gender
We also decided to analyse the data from males and females separately to see if there is a relationship between the BMI and height for either of these groups.
For females:
From the table above, the Pearson's correlation coefficient of -0.036 which indicates a very weak negative correlation between height and BMI.Also the p value of 0.882 is greater than 0.05 and thus, we do not reject the null hypothesis. Therefore, there is no significant relation between a female person's BMI and her height.
For males:
Also the p value of 0.817 is greater than 0.05 and so we do not reject the null hypothesis. Therefore, there is no significant relation between a male person's BMI and his height.
Conclusion
In conclusion, we reject the hypothesis as Body Mass Index is not related to a person’s height. As shown in the graph above, both BMI and height have a weak correlation to each other. Instead, BMI is related to both height and weight as height is strongly related to weight. As mentioned earlier, BMI is the measure of the weight of a person scaled according to height. Therefore, it is inaccurate to say that BMI is related only to height.
