Answer:yˆ=−0.175x2−3.786x+121.119
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Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
Learn more about Quadratic Linear Equations here:
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