The Printout Below Shows a Regression Analysis for a Time $\mathrm { C } 2 = 1.20 + 0.0362 \mathrm { C } 1$

question 58

Essay

The printout below shows a regression analysis for a time series that included 20 observations.

Regression Analysis: C2 versus C1

The regression equation is
$\mathrm { C } 2 = 1.20 + 0.0362 \mathrm { C } 1$

$\begin{array} { l r r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \mathrm { T } & \mathrm { P } \\ \text { Constant } & 1.19947 & 0.08471 & 14.16 & 0.000 \\ \mathrm { C } 1 & 0.036241 & 0.007072 & 5.12 & 0.000 \\\end{array}$

$\begin{array} { lll}\mathrm {~S} = 0.182361 & \mathrm { R } - \mathrm { Sq } = 59.3 \% \quad \mathrm { R } - \mathrm { Sq } ( \text { adj } ) = 57.1 \% \end{array}$

Analysis of Variance
$\begin{array}{lcrrrr}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Regression } & 1 & 0.87340 & 0.87340 & 26.26 & 0.000 \\\text { Residual Error } & 18 & 0.59860 & 0.03326 & & \\\text { Total } & 19 & 1.47200 & & &\end{array}$

Locate the Durbin-Watson d-statistic and test the null hypothesis that there is no autocorrelation of residuals. Use $\alpha = 0.10$ .

Critically evaluate the effectiveness of new programs or strategies based on statistical evidence.

Apply critical thinking to assess the validity of statistical claims in research.

Demonstrate an understanding of the role of sample size and variability in hypothesis testing.

Identify situations where hypothesis testing is applicable and select an appropriate test.

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Definitions:

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The lower part of the torso, located between the abdomen and the thighs, containing the pelvis and its enclosed organs.

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The physiological and psychological patterns of behavior exhibited by individuals during sexual activity.