What regression model best fits the data set? (2,,,7.,,12) a. linear b. quadratic c. exponential growth d. exponential decay

Answer-

Quadratic Regression model best fits the data set.

Solution-

Taking x as input variable and y as output variable, regression models were obtained by using Excel.

As we can be seen that, the values of y is neither consistently increasing or decreasing ( as 13 > 8 > 7.5 < 9 < 12 ), so exponential growth  and exponential decay are of no use (because in exponential function the growth or decay rate is constant).

And also, it can not be linear, as the rate of change of y is not constant.

As we can obtain the correct regression model, by considering Co-efficient of Determination (R²). The value of R² ranges from 0 to 1. The more closer its value to 1, the better the regression model is.

From the attachment, it can be observed that,

As the value of R² of the Quadratic Regression is more closer to 1, so that should be followed.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: