The table below shows the average weekly wages(in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 98% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $861. The equation of the regression line is y^ = 1.520x 103.249.

Wages (state), x 744, 757, 799, 823, 843, 892, 915, 928, 953, 973.

Wages (federal), y, 1,029, 1,064, 1,103, 1,142, 1,181, 1,242, 1,271, 1,301, 1,343, 1,403.

Construct and interpret a 98% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees $861.