Show your work and explain all results! Head width (cm) Biting force (grams/centimer2) 4.31 125.9 3.92 114.7 2.56 90.8 3.72 102.0 4.21 120.2 2.95 101.5 4.74 130.5 2.84 110.7 Imagine that you are examining the functional relationship between head width (measured in centimeters) and biting force (measured in grams per square centimeters) in the tegu lizard.
a)Conduct a linear regression by hand. You will need to show the slope and the intercept of the best-fit line. Also, construct a scatterplot graph with all data-points and trace the best-fit line (if you want you can do the graph in Excel)
b)Conduct a hypothesis test for the significance of the slope of the best fit line.
c)Calculate the Pearson product moment correlation coefficient for the dataset.
d)Conduct a hypothesis test for the significance of the correlation coefficient.