TABLE 15-3 a Chemist Employed by a Pharmaceutical Firm Has Developed a Developed

question 51

True/False

TABLE 15-3
A chemist employed by a pharmaceutical firm has developed a muscle relaxant. She took a sample of 14 people suffering from extreme muscle constriction. She gave each a vial containing a dose (X) of the drug and recorded the time to relief (Y) measured in seconds for each. She fit a "centered" curvilinear model to this data. The results obtained by Microsoft Excel follow, where the dose (X) given has been "centered."
SUMMARY OUTPUT
Regression Statistics
ANOVA

-Referring to Table 15-3, suppose the chemist decides to use a t test to determine if there is a significant difference between a curvilinear model without a linear term and a curvilinear model that includes a linear term. Using a level of significance of 0.05, she would decide that the curvilinear model should include a linear term.

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Definitions:

Normal Model

A probability distribution that is symmetrical around its mean, showing that data near the mean are more frequent in occurrence.

Summary Statistics

Statistical values that provide an overview or summary of a set of data, including measures like mean and standard deviation.

Standard Deviation

A means of quantifying the depth of variation or spread among elements in a dataset.

Central 68%

Refers to the property in a normal distribution where approximately 68% of the data points lie within one standard deviation of the mean.