Organic chemistry experiment. Chemists at Kyushu University (Japan) examined the linear relationship between the maximum absorption rate y (in nanomoles) and the Hammett substituent constant x for metacyclophane compounds ( Journal of Organic Chemistry , July 1995). The data for variants of two compounds are given in the next table and saved in the ORGCHEM file. The variants of compound 1 are labeled 1a, 1b, 1d, 1e, 1f, 1g, and 1h; the variants of compound 2 are 2a, 2b, 2c, and 2d.
a. Plot the data in a scatterplot. Use two different plotting symbols for the two compounds. What do you observe?
b. Using only the data for compound 1, fit the model E(y) = β0 + β1x.
c. Assess the adequacy of the model you fit in part b. Use α =.01
d. Repeat parts b and c , using only the data for compound 2.
[Note: Starred (*) exercises are from the optional section in this chapter.]e. Conduct Spearman’s test for rank correlation between x and y.
Compound | Maximum Absorption y | Hammett Constant x |
1a | 298 | 0.00 |
1b | 346 | .75 |
1d | 303 | .06 |
1e | 314 | -.26 |
1f | 302 | .18 |
1g | 332 | .42 |
1h | 302 | -.19 |
2a | 343 | .52 |
2b | 367 | 1.01 |
2c | 325 | .37 |
2d | 331 | .53 |
Source: Tsuge, A., et al. “Preparation and spectral properties of disubstituted [2-2] metacyclophanes.” Journal of Organic Chemistry , Vol. 60, No. 15, July 1995, pp. 4390–4391. Reprinted with permission from the American Chemical Society.
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