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What is the quadratic regression equation for the data set?




yˆ=−0.175x2−3.786x+121.119

​yˆ=−0.175x2+3.786x−121.119​

​yˆ=−0.175x2+3.786x+121.119​

​ ​ ​yˆ=−0.175x2−3.786x−121.119​ ​ ​
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70

Sagot :

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

View image burnsont

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

What is Quadratic Regression Equation?

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:

https://brainly.com/question/24639881

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