6.The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.483x - 85.072. Complete parts (a) and (b) below.Average Weekly Wages (state), xAverage Weekly Wages (federal), y7547718008208378929249489951050111811421198124712711301(a) Find the coeficient of determination and interpret the result.(Round to three decimal places as needed.)How can the coefficient of determination be interpreted?and is represented by (3)is unexplained and isThe coefficient of determination is the fraction of the variation in average weekly wages for (1)due to other factors or to sampling error.that can be explained by the variation in average weekly wages for (2)The remaining fraction of the variation, (4)(b) Find the standard error of estimate s, and interpret the result.Se =(Round to two decimal places as needed.)How can the standard error of estimate be interpreted?The standard error of estimate of the average weekly wage for (5)for (6)average weekly wage for (7)is about s, dollars.O state government employeesO federal government employeesO all government employees in the last 8 yearsO state government employeesO federal government employeesO all government employees in the last 8 years(3) O .O 1-?.(4) O ?O 1-?O state government employeesO federal government employeesO all government employees in the last 8 years(6) O a specificO anyO the range ofO state government employeesO federal government employeesO all government employees in the last 8 years(1)(2)(5)(7)

Given data, Average weekly Wages (state) x Average weekly wages (federal) Y 754 995 771 1050 800 1118 820 1142 837 1198 892 1247 924 1271 948 1301 The correlation value is obtained using EXCEL. The software procedure is given below: Enter the data. Select Data > Data Analysis >Correlation> OK. Enter Input Range as A1:B9 for variables x and y. Mark Labels in First Row. Click OK. The output using EXCEL is as follows: From EXCEL output, the correlation coefficient is 0.97326. Coefficient of determination, R2= r x r =0.97326 x 0.97326 =0.94724 Thus, coefficient of determination is 0.947. Explained variation is 0.947. Unexplained variation is 1-0.947 = 0.053 Interpretation: The coefficient of determination is the fraction of the variation in average weekly wages for federal government employees that can be explained by the variation in average weekly wages for state government employees and it is represented by r2. The remaining fraction of the variation 1- r2 is unexplained and is due to the other factors or to sampling error.b) Standard error of estimate is calculated as follows: Average weekly Wages (state) x Average weekly wages (federal) Y y^ y-y^ y-y^2 754 995 1033.11 -38.11 1452.3721 771 1050 1058.321 -8.321 69.239041 800 1118 1101.328 16.672 277.955584 820 1142 1130.988 11.012 121.264144 837 1198 1156.199 41.801 1747.323601 892 1247 1237.764 9.236 85.303696 924 1271 1285.22 -14.22 202.2084 948 1301 1320.812 -19.812 392.515344 Total 4348.18191 se=∑y-y^2n=4348.181918=543.5227=23.31357 standard error of estimate is 23.31. The standard error of estimate of the average weekly wage for state government employees for a specific average weekly wage for federal government employees is about se dollars.