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

question 30

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 first dose is ____.

• A)0.0814
• B)0.1046
• C)0.1153
• D)0.1224
• E)0.1395

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Definitions:

Free Goods

Items or services available in abundance without direct cost, such as air or sunlight, not requiring scarce resources for their production.

Scarce Resources

Refers to the limited availability of inputs—such as labor, capital, and raw materials—used in the production of goods and services.

Economist

A professional who studies the production, distribution, and consumption of goods and services, often analyzing economic issues and trends.

Scarcity of Time

A situation where the amount of time available is insufficient to meet demands or complete tasks.