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In a Study of Reaction Times, the Time to Respond =212.498779+0.245553= 212.498779 + 0.245553

Question 40

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In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 6 subjects. Times were measured in thousandths of A second. The results are presented in the following table.
The following MINITAB output describes the fit of a linear model to these data. Assume that the assumptions Of the linear model are satisfied. The regression equation is Auditory =212.498779+0.245553= 212.498779 + 0.245553 Visual


 Predictor  Coef  SE Coef  T  P  Constant 212.49877926.5739577.9965050.001327 Visual 0.2455530.1244891.9724950.119828\begin{array} { l l l l l } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 212.498779 & 26.573957 & 7.996505 & 0.001327 \\ \text { Visual } & 0.245553 & 0.124489 & 1.972495 & 0.119828 \end{array} Can you conclude that the response time to visual stimulus is useful in predicting the response time for Auditory stimulus? Answer this question using the α = 0.05 level of significance.

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