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Refer to the Information Provided in Scenario 21

question 104

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Refer to the information provided in Scenario 21.4 below to answer the questions that follow.
SCENARIO 21.4: In a randomized 1-year trial of 400 Mr. Lincoln hybrid tea rose bushes with rose rosette disease, 200 are slated to receive only a sulphur treatment (we will call this Group A) , and the other 200 are slated to receive the sulphur treatment and an additional neem oil treatment 4 months later (we will call this Group B) . Assume that the neem oil treatment is ineffective in treating rose rosette disease, so on average, the same proportion of rose bushes in each group will die of the disease. In Group B, 25 of the 200 rose bushes die in the 4-month period leading up to the neem oil treatment. Of the 175 bushes left, 25 die in the 8 months following the neem oil treatment. Since we know the neem oil treatment is ineffective, the rose bushes in Group A will, on average, suffer the same fate as those in Group B, with 25 bushes dying in the first 4 months and another 25 dying in the following 8 months.
-Related to the Economics in Practice on p. 404: Refer to Scenario 21.4. If we limit the analysis in Group B to only those rose bushes which received the neem oil treatment, what is the rate of death due to rose rosette disease?

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Definitions:

Dependent Variable

A variable in an experiment or model that is expected to change in response to changes in the independent variable.

Regression Analysis

Regression Analysis is a statistical technique for estimating the relationships among variables, often used to determine how dependent variables are influenced by one or more independent variables.

Dependent Variable

The variable in an experiment or model whose value depends on the values of one or more independent variables.

Linear Relationship

A type of relationship between two variables where the relationship can be graphically represented by a straight line, indicating a constant rate of change.

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