12

Mathematics

1 answer:

HACTEHA [7]2 years ago

6 0

Complete question :

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y = 1.772 +334x

Answer:

B. There were approximately 1.772 eagle breeding pairs in 1986

Step-by-step explanation:

Given the regression equation : y = 1.772 +334x

Recall the general form of a linear regression equation :

y = mx + c

y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope

x = number of years after 1986 ; y = number of bald eagle pairs.

The intercept is a constant value at time t = 0

For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772

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I don’t understand this one

Masja [62]

Answer:

see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

(x +1)

Substituting x=-1 into this factor makes it be ...

(-1 +1) = 0

Evaluating the first expression, we have ...

$\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0$

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)