Question

Which regression equation best fits these data?

x:-6,-4,-3,-1,1,2,3,4
y:12,15,17,17,15,11,9,6
on graph:(-6,12)(-4,15)(-3,17)(-1,17)(1,15)(2,11)(3,9)(4,6)
a. y=11.73*0.94^x
b. y=0.32x^2+1.26x+15.81
c. y=-0.67x+12.41
d. y=-0.32x^2-1.26x+15.81

Answer 1

y = - 0.32x² - 1.26x + 15.81

Explanation:

From the graph, it can be deduced that the graph isn't linear nor exponential. The graph shown is a quadratic graph. Hence the regression equation which best fits the model is represented in the form :

y = Ax² + Bx + C

Using technology, the regression model obtained by fitting the data is :

y = - 0.32x² - 1.26x + 15.8

Fitted model is attached below