Instruction 16-2
a Chemist Employed by a Pharmaceutical Firm Has

question 55

True/False

Instruction 16-2
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.
$\begin{array}{|c|c|c|c|c|c|}\hline & \text { OUTPU? } & & & & \\\hline \text { Regression } & \text { Statistics } & & & & \\\hline \text { Multiple R } & & 0.747 & & & \\\hline \text { R Square } & & 0.558 & & & \\\hline \text { Adj. R Square } & & 0.478 & & & \\\hline \text { Std. Error } & & 863.1 & & & \\\hline \text { Observations } & & 14 & & & \\\hline & & & & & \\\hline \text { ANOVA } & & & & & \\\hline & d f & \text { Ss } & \text { MS } & F & \text { Signif F } \\\hline \text { Regression } & 2 & 10,344,797 & 5,172,399 & 6.94 & 0.0110 \\\hline \text { Residual } & 11 & 8,193,929 & 744,903 & & \\\hline \text { Total } & 13 & 18,538,726 & & & \\\hline & & & & & \\\hline & \text { Coeff } & \text { Std. Error } & \text { t stat } & P \text {-value } & \\\hline \text { Intercept } & 1283.0 & 352.0 & 3.65 & 0.0040 & \\\hline \text { CenDose } & 25.228 & 8.631 & 2.92 & 0.0140 & \\\hline \text { CenDoseSq } & 0.8604 & 0.3722 & 2.31 & 0.0410 & \\\hline\end{array}$
Note: Adj. R Square = Adjusted R Square; Std. Error = Standard Error
-Referring to Instruction 16-2,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 0.01 she would decide that there is a significant quadratic relationship.

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