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Imagine that you are examining the functional relationship between head width (measured in centimeters) and biting force (measured in grams per square centimeter) in the

Imagine that you are examining the functional relationship between head width (measured in centimeters) and biting force (measured in grams per square centimeter) in the tegu lizard.

Head Width (cm) Biting Force (g/cm2)
4.31 129.3
3.92 116.8
2.56 92.6
3.72 104.3
4.21 123.6
2.95 100.2
4.74 139.6
2.84 119.9
  1. 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)
  2. Conduct a hypothesis test for the significance of the slope of the best-fit line (ANOVA table).
  3. Calculate a 95% confidence interval on the slope.
  4. Calculate the coefficient of determination (r2).

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