Answer:
The linear regression equation that represents the set of data is:

The predicted number of new cases for 2013 is 1368.
Step-by-step explanation:
The general form of a linear regression is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
Compute the values of <em>a</em> and <em>b</em> as follows:

The linear regression equation that represents the set of data is:

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:


Thus, the predicted number of new cases for 2013 is 1368.
Answer:
5
Step-by-step explanation:
AC=AB+BC
so 16=x+1+x+7
which simplifies to 16=2x+8
subtract eight from both sides to get 8=2x
then divide by 2 to get that x=4
AB=x+1, which substitutes into 4+1=5
Answer:
There are many.
Step-by-step explanation:
When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.
An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

That's the same ratio scaled up by a factor of 2.
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That's the ratio given
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Scaled up by a factor of 4
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Scaled up by a factor of 5.
The list goes on and on.
Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation
23 × 536 = 12328
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