The quadratic regression equation of the dataset in the table is y= -0.004x² + 0.415x - 0.546
How to determine the regression equation?
The table of values is given as:
x y
50 10
30 11
11 5
35 9
50 12
20 3
90 7
When the dataset is entered in a graphing calculator, we have the following outputs:
a = -0.004; b = 0.415; c = -0.546
A quadratic regression equation is represented as:
y = ax² + bx + c
Substitute a = -0.004; b = 0.415; c = -0.546 in y = ax² + bx + c
y= -0.004x² + 0.415x - 0.546
Hence, the quadratic regression equation is y= -0.004x² + 0.415x - 0.546
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