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)
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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