Find the least-squares line for the data below by following the steps after the data.
Data Given
The year 1880 1910 1940 1970 2000
Global Mean Temperature 13.73O 13.72O 13.98O 14.00O 14.51O
A) Give the entries of A and bin Ax=b for this data.
For this part, I put A as v1=(1,1,1,1,1) and v2= (1880,1910,1940,1970,2000) and for b I have (13.73,13.72,13.98,14,14.51)
B) Give the equation whose solution will give the coefficients of the least-squares line.
I got A^tAx=A^tb
Matrix A^t* I have v1= (5,9700) and v2=(9700, 18,827,000) Matrix A^tb I have (96.94, 135,738,80)
C)Use some appropriate technology to find the coefficients of the least-squares line.
After plugging it in I have x to be (11,298.289 , -5.813)
Can anyone confirm if I did this entire problem correctly or if I missed something.