An excerpt from Excel's regression output for the data set of student marks on the second test and the final exam in a statistics course, described in Exercise 11, is shown below in Exhibit 13.48. Using the output, test for evidence of a positive slope between the two variables, with α = 5%.

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SUMMARY OUIPUT Regression Stutistics Multiple R R Square Adjusted R Square 0918941003 Standard Frror 5.190203209 Observations 0.960374126 0.922318462 25 ANOVA MS Regression Residual lotal 1 7356.303585 7356.304 273.0806 23 619.578815 26.93821 24 975.8824 Coefficients Standard Error Sta P-value 0.446442941 3,590600937 0.124337 0.902129 Intercept Mark on Test #2 0.958643709 0.058011189 16.52515 2.96E-14