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ziro4ka [17]
3 years ago
5

What does the y-intercept of a line mean?

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

It's the y value of the point where the line intersects the y- axis.

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PLS HELP ASAP
timurjin [86]

The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

<h3>What is a linear regression?</h3>

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

\displaystyle{ b =  \frac{ \sum (x -  \bar x) \times (y -  \bar y)}{ (x -  \bar x)^{2}  } }

\displaystyle{ a =  \frac{ \sum (y ) + b \times  \sum (x)}{ n } }

\displaystyle{   \bar x} =(0+1+2+3)/4 = 1.5

\displaystyle{   \bar y} =(994+946+928+880)/4 = 937

\displaystyle{   \sum x} =(0+1+2+3) = 6

\displaystyle{   \sum y} =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

<em>x </em>= The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, <em>x </em>= 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

Learn more about linear regression equation here:

brainly.com/question/19712770

#SPJ1

6 0
2 years ago
The mystery number has five digits,the digit in the tenth place is double the digit in the tens place,the mystery number rounds
hjlf

Answer:

See explanation

Step-by-step explanation:

If the mystery number rounds to 700, then it has 3 digits before decimal points and two digits after decimal point.

Hence, the mystery number is

a b c . d e

The digit in the tenth place is double the digit in the tens place, so

d=2b

If b = 1, then d = 2

If b = 2, then d = 4

If b = 3, then d = 6

If b = 4, then d = 8

The difference between the digit in the hundreds place and the ones place is 3, so

a-c=3

The first digit can be only 7, because b < 5 and the number rounds to 700. So

If a = 7, then c = 4

All possible answers:

714.2e

724.4e

734.6e

744.8e,

where e is an arbitrary digit from 0 to 9.

There are 40 possible numbers which match the situation.

8 0
4 years ago
Which of the following is equal to -18
expeople1 [14]

Step-by-step explanation:

9i√2

-18

so therefore the answer is 9i√2

7 0
3 years ago
A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) re
ra1l [238]
The answer is the fourth option - <span>f(1) = 4 and f(n) = f(n − 1) + 2; n > 1
</span>
The first term is 4, So, f(1) = 4
The difference between two consecutive integer = 2, so, n = (n-1) + 2
It would be Option D) f(1) = 4 and f(n) = f(n − 1) + 2; n > 1

Hope this helps!
5 0
4 years ago
In triangle ABC shown below, the sizes of the acute angles are given as ∠CAB = 3x and ∠CBA = 2x. Solve for the two angles in deg
otez555 [7]

\bigtriangleup ABC \: has\: a\: right\: angle\: C\\\Rightarrow \hat{A}+\hat{B}=90° \Leftrightarrow 3x + 2x = 90\Leftrightarrow 5x = 90\Leftrightarrow x = 18\\\Rightartow \hat{A}=3\times 18=54°,\hat{B}=2\times 18=36°

3 0
3 years ago
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