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Business Statistic

The following is the regression model to predict the time taken for

runners to complete a race.

For ANOVA, sum of squares for regression, residual, and total is unknown. df for regression is unknown (X), df for residual is unknown (Y), and df for total is 79. Significance level is 0.05 The following is Coefficients. (Constant) for unstandardised coefficients is 10.02, recovery time for unstandardised coefficients is 1.15, reaction time for unstandardised coefficients is 1.27. The standard error and t-statistic test for (constant), recovery time, and reaction time is unknown. Significance level for (constant) is 0.004, recovery time is 0.003 and reaction time is 0.013. Calculate the sample size and the value of X and Y. Show clear workings. Based on your understanding of F-statistics, does not this model suggests that time taken has a strong relationship with the variables? Explain.

What is the linear relationship equation and explain why there is no need to rerun the model at 5% significance level.

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