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Instruction 16-5
a Chemist Employed by a Pharmaceutical Firm Has

question 60

True/False

Instruction 16-5
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 quadratic model to this data.The results obtained by Microsoft Excel follow.
 SUMMARY output Regression  Statistics  Multiple R 0.747 R Square 0.558 Adj. R Square 0.478 Std. Error 363.1 Observations 14 ANOVA  df  SS  MS F Signưf F Regression 21034479751723996.940.0110 Residual 118193929744903 Total 1318538726 Coeff  StdErior  Stat P-value  Intercept 1283.0352.03.650.0040 CenDose 25.2283.6312.920.0140 CenDoseSq 0.86040.37222.310.0410\begin{array}{l|l|l|l|l|l|}\text { SUMMARY } & output& \\\hline \text { Regression } & \text { Statistics } & \\\hline \text { Multiple R } & & 0.747 \\\hline \text { R Square } & & 0.558 \\\hline \text { Adj. R Square } & & 0.478 \\\hline \text { Std. Error } & 363.1 \\\hline \text { Observations } & 14 \\\hline\\\hline \text { ANOVA } & & & & & \\\hline & \text { df } & \text { SS } & \text { MS } & F & \text { Signưf } F \\\hline \text { Regression } & 2 & 10344797 & 5172399 & 6.94 & 0.0110 \\\hline \text { Residual } & 11 & 8193929 & 744903 & & \\\hline \text { Total } & 13 & 18538726 & & & \\\hline\\\hline & \text { Coeff } & \text { StdErior } & \text { Stat } & P \text {-value } \\\hline \text { Intercept } & 1283.0 & 352.0 & 3.65 & 0.0040 \\\hline \text { CenDose } & 25.228 & 3.631 & 2.92 & 0.0140 \\\hline \text { CenDoseSq } & 0.8604 & 0.3722 & 2.31 & 0.0410\\\hline\end{array} Note: Adj.R Square = Adjusted R Square;Std.Error = Standard Error
-Referring to Instruction 16-5,suppose the chemist decides to use an F test to determine if there is a significant quadratic relationship between time and dose.If she chooses to use a level of significance of 0.05,she would decide that there is a significant curvilinear relationship.


Definitions:

Genetic Drift

A mechanism of evolution that results in change in the genetic makeup of a population by chance or random events rather than by natural selection.

Gene Flow

The transfer of alleles or genes from one population to another, influencing the genetic composition of the receiving population.

Natural Selection

A process by which organisms better adapted to their environment tend to survive and produce more offspring, driving the evolution of species.

Hardy-Weinberg Equilibrium

A principle stating that the genetic variation in a population will remain constant from one generation to the next in the absence of disturbing factors.

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