Using data for a large sample of cars (n = 93),a statistics student calculated a matrix of correlation coefficients for selected variables describing each car.(a)In the spaces provided,write the two-tailed critical values of the correlation coefficient for α = .05 and α = .01 respectively.Show how you derived these critical values.(b)Mark with * all correlations that are significant at α = .05,and mark with ** those that are significant at α = .01.(c)Why might you expect a negative correlation between Weight and HwyMPG? (d)Why might you expect a positive correlation between HPMax and Length? Explain your reasoning.(e)Why is the matrix empty above the diagonal?

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The Answer of Using data for a large sample of cars (n = 93),a statistics student calculated a matrix of correlation coefficients for selected variables describing each car.(a)In the spaces provided,write the two-tailed critical values of the correlation coefficient for α = .05 and α = .01 respectively.Show how you derived these critical values.(b)Mark with * all correlations that are significant at α = .05,and mark with ** those that are significant at α = .01.(c)Why might you expect a negative correlation between Weight and HwyMPG? (d)Why might you expect a positive correlation between HPMax and Length? Explain your reasoning.(e)Why is the matrix empty above the diagonal?

Using Data for a Large Sample of Cars (N =