The quadratic regression equation which models the XY-pair values given in the table in the form A+Bx+Cx² is 121.119 - 3.786X - 0.175X²
Table of values :
- X ____ Y
- 6 ____ 100
- 3 ____ 110
- 10 ____50
- 3 _____90
- 5 _____120
- 15_____ 30
- 9 _____ 70
Using a quadratic regression calculator or excel ; the quadratic regression model for the dataset is ;
Y = -0.175X² - 3.786X + 121.119
Where ;
- Y = Predicted or dependent variable
- X = independent variable
- Intercept = 121.119
Therefore, the quadratic regression equation for the dataset given in the table is Y = -0.175X² - 3.786X + 121.119
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