17.5k views
3 votes
The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is the population. What is the predicted population when x = 15?

A.3
B.126
C.316
D.9537

1 Answer

7 votes

Step-by-step explanation:

Here we know that the linearized regression equation for an exponential data set is:


log \hat{y} = 0.14x + 0.4

Where:


\text{x: The number of years and} \\ \\ \text{y: The population}

The predicted population when
x=5 is found by substituting this value into the equation and finding
y:


log \hat{y} = 0.14x + 0.4 \\ \\ log \hat{y} = 0.14(15) + 0.4 \\ \\ log \hat{y} = 2.5 \\ \\ \hat{y}=10^(2.5) \\ \\ \hat{y} \approx 316.227

Since population is a natural number, we must round off, therefore, the predicted population is 316, option C.

User Jazzblue
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories