MHB I have the data and need to make a prediction based on it (probability)

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To predict the number of births in 2010 using the provided linear regression equation, the independent variable x should be set to 2010. By substituting x into the equation y = -0.1103x + 234.98, the predicted birth rate for that year is calculated to be approximately 13.277. The discussion clarifies the confusion around the variable representation, confirming that x indeed represents the years. Participants agree on the calculation and the resulting prediction. This straightforward approach to using linear regression helps in making data-driven predictions.
chriskeller1
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Hello Everyone,
I really can't understand stats and it's driving me crazy.

I have data for births linked with different years, the graphic looks like this
View attachment 3382
But I need to make a prediction on the births in year 2010. How do I go about that?!
 

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It looks like you are provided with the linear regression:

$$y=-0.1103x+234.98$$

Can you see what you need to use for $x$ to get a prediction for the year 2010?
 
I'm confused... Isn't x supposed to represent the years?
 
chriskeller1 said:
I'm confused... Isn't x supposed to represent the years?

Yes, it appears to me that the independent variable $x$ is the year, and this input into the given line will give a prediction for the output, the dependent variable which is the birth rate, for that year.

So, use $x=2010$ in the given line, and what do you find?
 
Oh, so basically it's going to be 13.277?

Thank you!
 
chriskeller1 said:
Oh, so basically it's going to be 13.277?

Thank you!

Yes, that's the same value I get. (Yes)
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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