1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sleet_krkn [62]
3 years ago
5

The number of newly reported crime cases in a county in New York State is shown in

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

Answer:

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

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

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:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

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

y=1083.48+23.73x

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

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

You might be interested in
Plz help with this math. Can't find the area of the triangular faces.
Zina [86]
First of all, you have to find the area of both triangles:
\frac{bh}{2}
\frac{4*4}{2}
Or just 16 because there are 2 of the same triangles.

Now you have to find the area of the 3 rectangles.

The two that are in the front are 4*3 (l*h) or 12*2 (because there are 2 congruent rectangles. The area of those rectangles is 24 square mm.

Now you find the area of the back rectangle:
5.7*3 = 17.1

Finally, you add all the found numbers to figure out the surface area.
17.1 + 16 + 24 = 57.1 square millimeters.

Hope this helped,
Loafly
4 0
3 years ago
rectangular room is 1.4 times as long as it is wide and it's perimeter is 29 meters. what is the dimension of the room
tekilochka [14]
The answer to the question is 28&1 /4
4 0
3 years ago
Keith used the following steps to find the inverse off, but he thinks he made an error
Sholpan [36]

Answer:

Option D In step 4 Keith should have subtracted 5 from each side

Step-by-step explanation:

step 1

we have

f(x)=7x+5 -----> given

step 1 is correct

step 2

Change f(x) to y

y=7x+5

so

step 2 is correct

step 3

Exchange x for y and y for x

x=7y+5

so

step 3 is correct

step 4

Subtract 5 each side

x-5=7y+5-5

x-5=7y

<u><em>step 4 is not correct</em></u>

step 5

Divide by 7 each side

(x-5)/7=y

step 6

Change y to g(x)

(x-5)/7=g(x)

step 7

switch sides of the equation

g(x)=(x-5)/7

therefore

In step 4 Keith should have subtracted 5 from each side

5 0
3 years ago
Read 2 more answers
Long division<br>algebra 2, help me. thanks
klemol [59]
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.

1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
         -------------
             x - 6


2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span>         -----------
            x - 6


And finally..


You come up with the answer of:

-3x + 2

I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.


4 0
3 years ago
The population of Rwanda in 2016 was about 11.8 million. The population tends to increase by about 2% per year. Which equation d
natita [175]

Answer:

B - P=11.8(1.02)^t

Step-by-step explanation:

An exponential function is defined as:

y=ab^{x}.  

Recall, a is the starting value, b is the rate, and x is the input (often time).

We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.

We write: y=11.8(1.02)^{t} where y is population in millions.


5 0
3 years ago
Other questions:
  • A jar contains five red marbles and three green marbles. A marble is drawn at random and not
    14·1 answer
  • After Hillary realized her clock was running 30 minutes fast, she used a knob on the clock to turn the minute hand back 30 minut
    11·2 answers
  • Which of the following represents the factorization of the trinomial below?
    9·2 answers
  • What is the mean median and mode for 50, 55,42,38,163,55,61​
    14·1 answer
  • What is the quotient and remainder for 52 divided by 8
    15·1 answer
  • A baseball team is in second place with a win to loss ratio of .535. What percent of the games played did the team win?
    9·2 answers
  • If 50% is 10 what is 25%​
    14·1 answer
  • Help please 60 points who ever gets it right gets Brainliest
    11·1 answer
  • I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the fir
    9·2 answers
  • Please answer, thank you. Image below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!