Proteins are linear polymers formed by $20$ different amino acids and oils are composed of fatty acids. Considering Drs$.$ Nacer' and Smith's research data for protein and oil $($Quality traits$)$ with their corresponding contents of amino acids and fatty acids, respectively $($in an excel file of BIOL$400$ quality$\_$your dataset$)$:

Calculate mean, CV$,$ variance, standard deviation, range, and standard error for all variables $(10$ points$)$

Create boxplots and histograms to visualize the numerical variables that you work with $(5$ points$).$

Create a correlogram for the correlation on all variables $(5$ points$).$

Create a heatmap using your dataset and explain your result $(10$points$)$

Draw Q$-$Q plots to show the correlation between a given sample and the theoretical normal distribution on protein and oil, respectively $(5$ points$).$

Find Pearson's correlation coefficient between protein and oil and interpret your results $(5$ bonus points$)$;

Create histogram on each variable with a normal curve in your dataset $(5$ points$).$

Conduct two$-$way ANOVA analysis; present an ANOVA table for the variables that you have analyzed and explain your results $(10$ points$)$

Are the residuals of the variables from the analysis reasonably normal and homoscedastic? Explain your result $(5$ points$).$

Does protein$/$oil content have a significant effect on the contents of amino acids$/$fatty acids? Explain your result $(10$ points$).$

Conduct an analysis on variable protein using your dataset and compare the mean value of protein in these lines. Please show the name of the line with the highest value $(10$ points$).$

Perform a PCA analysis using your dataset $($PCA table and graph$)$ and interpret your results $(10$ points$).$

Attach the command lines that have been used in the exam $(10$ points$)$