In: Statistics and Probability
What determines the taste of cheddar cheese? Experimenters assessed the concentration of lactic acid, acetic acid, and hydrogen sulfide in randomly chosen pieces of cheddar cheese that were also rated for taste by a panel of food tasters (the higher the score, the tastier). Data from the study are shown in the provided table, “Acetic” and are actually log‑transformed concentrations.
Taste | Acetic | H2S | Lactic | Taste | Acetic | H2S | Lactic |
12.3 | 4.543 | 3.135 | 0.86 | 40.9 | 6.365 | 9.558 | 1.74 |
20.9 | 5.159 | 5.043 | 1.53 | 15.9 | 4.787 | 3.912 | 1.16 |
39.0 | 5.366 | 5.438 | 1.57 | 6.4 | 5.412 | 4.700 | 1.49 |
47.9 | 5.759 | 7.496 | 1.81 | 18.0 | 5.247 | 6.147 | 1.63 |
5.6 | 4.663 | 3.807 | 0.99 | 38.9 | 5.438 | 9.064 | 1.99 |
25.9 | 5.697 | 7.601 | 1,09 | 14.0 | 4.564 | 4.949 | 1.15 |
37.3 | 5.892 | 8.726 | 1.29 | 15.2 | 5.298 | 5.220 | 1.33 |
21.9 | 6.078 | 7.966 | 1.78 | 32.0 | 5.455 | 9.242 | 1.44 |
18.1 | 4.898 | 3.850 | 1.29 | 56.7 | 5.855 | 10.199 | 2.01 |
21.0 | 5.242 | 4.174 | 1.58 | 16.8 | 5.366 | 3.664 | 1.31 |
34.9 | 5.740 | 6.142 | 1.68 | 11.6 | 6.043 | 3.219 | 1.46 |
57.2 | 6.446 | 7.908 | 1.90 | 26.5 | 6.458 | 6.962 | 1.72 |
0.7 | 4.477 | 2.996 | 1.06 | 0.7 | 5.328 | 3.912 | 1.25 |
25.9 | 5.236 | 4.942 | 1.30 | 13.4 | 5.802 | 6.685 | 1.08 |
54.9 | 6.151 | 6.752 | 1.52 | 5.5 | 6.176 | 4.787 | 1.25 |
Using the software of your choice, make a scatterplot for each of the three explanatory variables with taste on the y‑axis and find the appropriate correlation coefficient.
Find the correlation coefficient for Taste and Acetic. (Enter your answer rounded to three decimal places).
Find the correlation coefficient for Taste and H2S . (Enter your answer rounded to three decimal places)
Find the correlation coefficient for Taste and Lactic. (Enter your answer rounded to three decimal places).