Question

your sine regression model for a given problem is y = 0.500 sin(0.222x - 1.509)+0.521. use your model to predict y(95). round your answer to the nearest hundredth. a. y(95)=0.27 b. y(95)=0.47 c. y(95)=0.17 d. y(95)=0.85 please select the best answer from the choices provided

Explanation:

Step1: Substitute x = 95 into the model

$y = 0.500\sin(0.222\times95 - 1.509)+0.521$
First, calculate the value inside the sine - function: $0.222\times95-1.509=21.09 - 1.509 = 19.581$.

Step2: Calculate the sine value

$y = 0.500\sin(19.581)+0.521$.
Using a calculator, $\sin(19.581)\approx - 0.697$.
Then $y = 0.500\times(-0.697)+0.521$.

Step3: Perform the multiplication and addition

$y=-0.3485 + 0.521=0.1725\approx0.17$.

Answer:

C. $y(95)=0.17$