A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a city. The regression equation is shown as: Fatalities = 14.771 +0.00010150 (Unemp). Use Appendix B.2 for the t-values. Some additional output is as follows: Predictor Constant Unemp Coef 14. 771 0.00010150 SE Coef 6.870 0.00003026 T 2.15 3. 35 P 0.048 0.004 DF 1 15 SS 11587 14543 MS 11587 Analysis of Variance Source Regression Residual Error Total F 11.9500 P 0.0040 969.5333 16 26130 a. How many cities were in the sample? (Round the final answer to the nearest whole number.) Sample b. Determine the standard error of estimate. (Round the final answer to 2 decimal places.) Standard error c. Determine the coefficient of determination. (Round the final answer to 2 decimal places.) Coefficient of determination d. Determine the correlation coefficient. (Round the final answer to 2 decimal places.) Coefficient of correlation c. At the 0.01 significance level does the evidence suggest there is a positive association between fatalities and the number unemployed? (Round the final t and significance level value to 2 decimal places and critical value to 3 decimal places.) Yes and the p-value because the t-value ( ) is less than ]) is greater than than the critical value than the significance level ([ ]). A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a city. The regression equation is shown as: Fatalities = 14.771 +0.00010150 (Unemp). Use Appendix B.2 for the t-values. Some additional output is as follows: Predictor Constant Unemp Coef 14. 771 0.00010150 SE Coef 6.870 0.00003026 T 2.15 3. 35 P 0.048 0.004 DF 1 15 SS 11587 14543 MS 11587 Analysis of Variance Source Regression Residual Error Total F 11.9500 P 0.0040 969.5333 16 26130 a. How many cities were in the sample? (Round the final answer to the nearest whole number.) Sample b. Determine the standard error of estimate. (Round the final answer to 2 decimal places.) Standard error c. Determine the coefficient of determination. (Round the final answer to 2 decimal places.) Coefficient of determination d. Determine the correlation coefficient. (Round the final answer to 2 decimal places.) Coefficient of correlation c. At the 0.01 significance level does the evidence suggest there is a positive association between fatalities and the number unemployed? (Round the final t and significance level value to 2 decimal places and critical value to 3 decimal places.) Yes and the p-value because the t-value ( ) is less than ]) is greater than than the critical value than the significance level ([ ])