When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed as:______.

Mathematics

1 answer:

jasenka [17]4 years ago

7 0

Answer:

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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A. 51 B. 72 C.53 D.45

Gelneren [198K]

Answer:

B) 72

Step-by-step explanation:

28+(17x+4)=4+24x

17x+32=24x+4

32=24x-17x+4

32=7x+4

7x=32-4

7x=28

x=28/7

x=4

WGH=17x+4=17(4)+4=68+4=72

4 0

4 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$