A Research Project Was Conducted to Study the Effect of a Chemical

question 75

Multiple Choice

A research project was conducted to study the effect of a chemical on undesired insects.The researcher uses 6 dose levels, and at each level exposes 250 insects to the chemical and proceeds to count the number of insects that die.The researcher uses a binary logistic regression model to estimate the probability of death as a function of dose. Shown below is Minitab output from a logistic regression.
$$\begin{array} { l c c c r r r } \text { Coefficients } \\& & & & & \\\text { Term } & \text { Coef } & \text { SE Coef } & 95 \% \text { CI } & \text { Z-Value } & \text { P-Value } & \text { VIF } \\\text { Constant }& - 2.644 & 0.156 & ( - 2.950 , - 2.338 ) & - 16.94 & 0.000 & \\\text { Dose } & 0.6740 & 0.0391 & ( 0.5973,0.7506 ) & 17.23 & 0.000 & 1.00 \\& & & &\end{array}$$

$\begin{array}{l}\text { Odd Ratios for Continuous Predictors } \\\text { Odds Ratio } \quad \quad 95 \% \mathrm{CI} \\\text { Dose } \quad 1.9621 \quad(1.8173,2.1184) \end{array}$
The predicted probability that an insect will die when exposed to the second dose is ____.

• A)0.1246
• B)0.1446
• C)0.1857
• D)0.2148
• E)0.2945

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