For model (4.11) for the horseshoe crabs with color and width predictors, add three terms to permit interaction between color and width.

a. Report the prediction equations relating width to the probability of a satellite, for each color. Plot or sketch them, and interpret.

b. Test whether the interaction model gives a better fit than the simpler model lacking the interaction terms. Interpret.

Aresearch study is studying the effects of a new drug for osteoporosis alzheimer's disease (ad) for women above the age of 65 years. a group of individuals with osteoporosis is randomized into two groups. one group is treated conventionally, and the second group is treated with the new medication. assessments are made at 3, 6, 12, 36, and 48 months. the conventionally treated group is assessed for ad using a serum blood test, and the treatment group is assessed for ad using a pet radiotracer that binds to beta-amyloid plaques. in comparing these 2 trial arms, the authors of the study may encounter which type of bias? a. selection bias on the risk of developing b. measurement bias c. confounding bias d. recall bias e. lead-time bias