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

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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.
 OUTPU?  Regression  Statistics  Multiple R 0.747 R Square 0.558 Adj. R Square 0.478 Std. Error 863.1 Observations 14 ANOVA df Ss  MS F Signif F  Regression 210,344,7975,172,3996.940.0110 Residual 118,193,929744,903 Total 1318,538,726 Coeff  Std. Error  t stat P-value  Intercept 1283.0352.03.650.0040 CenDose 25.2288.6312.920.0140 CenDoseSq 0.86040.37222.310.0410\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 a t test to determine if there is a significant difference between a quadratic model without a linear term and a quadratic model that includes a linear term.The value of the test statistic is _______.

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Definitions:

Anxiety

The state of being nervous, fretful, or uneasy due to an event whose outcome is uncertain.

Fear

An emotional response to perceived threats or danger, leading to a desire to avoid or confront the source of fear.

Impulsive Behaviour

Actions performed with little or no forethought, reflection, or consideration of the consequences.

Personality Disorder

A mental condition marked by persistent patterns of behavior, thought, and emotional experience that are maladaptive and significantly diverge from what is considered normal within the person's culture, manifesting in various situations.

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