126 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 accompanying 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 E1y2 = b0 + b1x.

c. Assess the adequacy of the model you fit in part b.
Use a = .01.

d. Repeat parts b and c , using only the data for compound 2.

Transcribed Image Text:

Compound Maximum Absorption y Hammett Constant x la 298 0.00 1b 346 .75 1d 303 .06 le 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 (Table 1 and Figure 1). Reprinted with permission from the American Chemical Society.