Suppose the production function is given by Y = zK^0.45N^0.55 Consider the following data:

Year	Y(billions of 2005 dollars)	K (billions of 2005 dollars)	N(Millions)
1995	8745.00	30500.00	122.00
1996	9120.00	31023.90	123.60
1997	9531.30	31992.30	125.80
1998	9944.30	32325.50	127.60
1999	10431.60	33127.50	129.50
2000	10663.30	33680.50	127.60
2001	10982.90	34250.90	127.50
2002	11035.55	35162.15	125.41
2003	11123.96	35613.11	125.21
2004	11302.69	36000.60	123.53
2005	11427.35	36715.67	121.73
2006	11593.44	37559.09	119.81
2007	11663.34	37714.94	117.97

(a) Calculate the Solow residual for each year from 1995 to 2007 (hint: dont convert millions to billions or vice versa). (b) Calculate percentage rates of grwoth in output, capital, employment, and total factor productivity for each year from 1996 to 2007. Overall, what factor contributes the least to the growth in aggregate output? Do you see that the 2001 recession makes the growth of GDP slower (in other words, is the growth rate in years 2001-2007 higher or lower than the years 1996-2000)? (Note: use the log-difference to calculate the growth rates)

I need help with all parts. Can you please answer all parts. Thank you for your help.