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Consider the Following Pairs of Measurements x58349y6.23.47.58.13.2\begin{array}{|c|c|c|c|c|c|}\hline x & 5 & 8 & 3 & 4 & 9 \\\hline y & 6.2 & 3.4 & 7.5 & 8.1 & 3.2 \\\hline\end{array}

question 66

Essay

Consider the following pairs of measurements: x58349y6.23.47.58.13.2\begin{array}{|c|c|c|c|c|c|}\hline x & 5 & 8 & 3 & 4 & 9 \\\hline y & 6.2 & 3.4 & 7.5 & 8.1 & 3.2 \\\hline\end{array}

a. Construct a scattergram for the data.
b. Use the method of least squares to model the relationship between xx and yy .
c. Calculate SSE, s2s ^ { 2 } , and ss .
d. What percentage of the observed yy -values fall within 2s2 s of the values of y^\hat{y} predicted by the least squares model? 11.4 Assessing the Utility of the Model: Making Inferences about the Slope β1 1 Construct Confidence Interval for β1

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Definitions:

F-Ratio

A statistic used in ANOVA to compare the variance among group means to the variance within groups; a measure of variance between groups relative to variance within groups.

Main Effect

In statistical analysis, the direct impact of an independent variable on a dependent variable, disregarding the influences of or interactions with other variables.

Reject

In statistics, to refuse the null hypothesis based on evidence from sample data meeting a predetermined significance level.

Interaction Effect

In statistics, the effect that an independent variable has on the outcome variable depends on or varies according to the levels of one or more other independent variables.

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