When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed as:
a) y = β0 + β1x + (β2x)2 + ε
b) y = β0 + β1x + β2x2 + ε
c) y = β0 + β1x + β2x
d) y = β0 + β1x2 + β2x2 + ε

A

Step-by-step explanation:

The linear model can be assessed by the checking the independent variables having power 1 which shows the linear relationship between x and y. For example, as in the option B, C and D, the power of Xi's is one. Whereas the non linear model has the power for independent variables greater than 1. For example, as in option  A the model is a quadratic model because X associated with β2 has a power of a 2.

Thus the nonlinear model can be expressed as

Y = β0 + β1X + (β2X)2 + ε.

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step-by-step explanation: