If the average temperature of the earth in 2010 was 57 degrees,


write the function that could be used to predict (model) the average temperature 2 decades later. Let


x be the number of years since 2010 and y the average temperature x years from 2010

Answers

Answer 1

In the above scenario,  the function that could be used to predict (model) the average temperature 2 decades later is : y = 0.15x + 57.

What is the rationale for the above response?

A linear regression model can be used to predict the average temperature (y) x years from 2010 (x) based on the given data point that the average temperature of the earth in 2010 was 57 degrees. The model can be expressed using the equation:

y = mx + b

where m is the slope of the regression line and b is the y-intercept. To calculate the values of m and b, we need to have at least one more data point.

Let's assume that we have a second data point from 2030 that shows the average temperature to be 60 degrees. We can use these two data points to calculate the slope and y-intercept of the regression line.

First, we need to calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

where y1 is the temperature in 2010 (57 degrees), y2 is the temperature in 2030 (60 degrees), x1 is 0 (since it's the year 2010), and x2 is 20 (since it's 2 decades or 20 years later). Plugging in these values, we get:

m = (60 - 57) / (20 - 0) = 0.15

Next, we can use the y-intercept formula to find the value of b:

b = y - mx

Using the data point from 2010, we get:

b = 57 - (0.15 * 0) = 57

Now that we have the slope and y-intercept, we can use the linear regression equation to predict the average temperature (y) x years from 2010 (x). The equation is:

y = 0.15x + 57

So, to predict the average temperature 2 decades (20 years) later, we can plug in x = 20 and get:

y = 0.15 * 20 + 57 = 60

Therefore, the function that can be used to predict the average temperature (y) x years from 2010 (x) based on the given data point that the average temperature of the earth in 2010 was 57 degrees is:

y = 0.15x + 57.

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Answer: 1, Option B

Explanation:

First, simplify the numerator: (3^(½)) x (8 radical 3)/2 = 4√3 x √3 = 12

Then, divide by the denominator: 12/6 = 2

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The answer is oneeeeeeeeeeee
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3. Therefore it’s 1:2-1 =1
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