The rule of the points is y = 3.2x - 0.7
How to determine the rule?
The points are given as:
(-2,-7) (0,-1) (7, 22)
The above points form an approximate linear equation.
So, we make use of a linear regression to determine the rule
When the above points are entered in a statistical calculator, we have the following summary:
- Sum of X = 5
- Sum of Y = 14
- Mean X = 1.6667
- Mean Y = 4.6667
- Sum of squares (SSX) = 44.6667
- Sum of products (SP) = 144.6667
The regression equation is then represented as:
y = bx + a
Where
b = SP/SSX = 144.67/44.67 = 3.23881
a = MY - bMX = 4.67 - (3.24*1.67) = -0.73134
This gives
y = 3.23881x - 0.73134
Approximate
y = 3.2x - 0.7
Hence, the rule of the points is y = 3.2x - 0.7
Read more about regression at:
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