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Public perceptions of health risks. In the Journal
Chapter 12, Problem 64E(choose chapter or problem)
Public perceptions of health risks. In the Journal of Experimental Psychology: Learning, Memory, and Cognition(July 2005), University of Basel (Switzerland) psychologists tested the ability of people to judge risk of an infectious disease. The researchers asked German college students to estimate the number of people who are infected with a certain disease in a typical year. The median estimates as well as the actual incidence rate for each in a sample of 24 infections are provided in the table. Consider the quadratic model \(E(y)=\beta_0+\beta_1 x+\beta_2 x^2\), where y = actual incidence rate and x = estimated rate.
a. Fit the quadratic model to the data and then conducta test to determine if incidence rate is curvilinearly related to estimated rate. (Use \(\alpha\) = .05.)
b. Construct a scatterplot for the data. Locate the data point for botulism on the graph. What do you observe?
c. Repeat part a but omit the data point for botulism from the analysis. Has the fit of the model improved?Explain.
Questions & Answers
QUESTION:
Public perceptions of health risks. In the Journal of Experimental Psychology: Learning, Memory, and Cognition(July 2005), University of Basel (Switzerland) psychologists tested the ability of people to judge risk of an infectious disease. The researchers asked German college students to estimate the number of people who are infected with a certain disease in a typical year. The median estimates as well as the actual incidence rate for each in a sample of 24 infections are provided in the table. Consider the quadratic model \(E(y)=\beta_0+\beta_1 x+\beta_2 x^2\), where y = actual incidence rate and x = estimated rate.
a. Fit the quadratic model to the data and then conducta test to determine if incidence rate is curvilinearly related to estimated rate. (Use \(\alpha\) = .05.)
b. Construct a scatterplot for the data. Locate the data point for botulism on the graph. What do you observe?
c. Repeat part a but omit the data point for botulism from the analysis. Has the fit of the model improved?Explain.
ANSWER:Step 1 of 5
It is given that the study of the ability of people to judge risk of an infectious disease. The
researchers asked German college students to estimate the number of people who are
infected with a certain disease in a typical year. The table provided that the data for
median estimates as well as the actual incidence rate for each in a sample of 24 infections
is given below.
The researchers fit the quadratic model 