Final answer:
To determine if the genes for seed coat color and flower color are pleiotropic or closely linked, you can perform a testcross between them. Analyzing the phenotypes of the offspring can help determine if the genes are pleiotropic or not.
Step-by-step explanation:
To determine if the gene for seed coat color and the gene for flower color are pleiotropic or closely linked, you can perform a testcross between the two genes. In this case, you would cross a plant with purple flowers and purple seed coats (WF wf, SW sw) with a plant with white flowers and white seed coats (wf wf, ws ws).
If the genes are pleiotropic, you would expect all the offspring to have either purple flowers and purple seed coats or white flowers and white seed coats. However, if the genes are closely linked, you would expect to see some variation in the offspring, such as plants with purple flowers and white seed coats or white flowers and purple seed coats.
After performing the testcross and collecting 15,206 offspring, you would analyze the phenotypes of the offspring. If you observe a significantly different pattern than what you would expect from the null hypothesis of independent assortment, such as a majority of the offspring having purple flowers and purple seed coats, it would suggest that the wf and sw loci are probably the same, pleiotropic locus.