The calculated regression equation of the table of values is y = 1.18x - 1.34
Finding the regression equation of the table of values
From the question, we have the following parameters that can be used in our computation:
The table of values
Using a graphing tool, we have the following summary
- Sum of X = 86.7
- Sum of Y = 88.9
- Mean X = 8.67
- Mean Y = 8.89
- Sum of squares (SSX) = 19.661
- Sum of products (SP) = 23.207
The regression equation is represented as
y = bx + a
Where
b = SP/SSX = 23.21/19.66 = 1.18036
a = MY - bMX = 8.89 - (1.18*8.67) = -1.3437
So, we have
y = 1.18x - 1.34
Hence, the regression equation is y = 1.18x - 1.34