Question

Yuki collects data on the average number of sunlight hours per month. She determines the regression model
y = -2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January.
Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect
each day in June?
O9.4
9.9
O 11
O 15

Answer 1

The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

What is a regression model?

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

Average number of sunlight hours in June

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

Learn more about regression model here:

https://brainly.com/question/25987747

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