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Shown Below Is a Portion of a Computer Output for a Regression

Question 19

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Shown below is a portion of a computer output for a regression analysis relating x (independent variable) and y (dependent variable).  ANOVA dfSS Regression 1115.064 Residual 1382.936 Total  Coefficients  Standard Error  Intercept 15.5321.457x1.1060.261\begin{array}{l}\text { ANOVA }\\\begin{array} { l c l } & d f & S S \\\text { Regression } & 1 & 115.064 \\\text { Residual } & 13 & 82.936 \\\text { Total } & & \\& \text { Coefficients } & \text { Standard Error } \\\text { Intercept } & 15.532 & 1.457 \\\mathrm { x } & - 1.106 & 0.261\end{array}\end{array}
a.
Perform a t test using the p-value approach and determine whether or not x and y are related. Let α = .05.
b.
Using the p-value approach, perform an F test and determine whether or not x and y are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.

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