In: Statistics and Probability
The military often uses high-density metals in munitions because these metals are better able to penetrate armor. Magness (1994) conducted an obserational study of seven different high-density metals in which he measured the Rockwell hardness (the regressor) and the Young's Modulus (the response) for a single specimen for each metal. The Young's Modulus is the ratio of simple tension stress to the resulting strain parallel to the tension. Normally, we expect Young's modulus to increase as the Rockwell hardness increases.
Construct a scatterplot, calculate and interpret the correlation coefficient, and calculate the linear regression equation. Show all work for calculations!
Data is below
Rockwell Hardness Young's Modulus
41 310
41 340
44 380
40 317
43 413
15 62
40 119