The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.​

The Number Of Newly Reported Crime Cases In A County In New York State Is Shown Inthe Accompanying Table,

Answers

Answer 1

The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

The projected number of new cases for 2013 is 1352.

Given that,

The number of newly reported crime cases in a county in New York State is shown in  the accompanying table,

Where x represents the number of years since 2001, and y  represents number of new cases.

We have to determine,

The linear regression equation that represents  this set of data.

And Using this  equation, find the projected number of new cases for 2013.

According to the question,

The line of best-fit is given by:

[tex]y = bx+a[/tex]

Assume [tex]y = kx + b[/tex]

And,

[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]

Then, pass from the point (3, 1158),

[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]

Then ,

The projected number of new cases -  the number of years since 2001

[tex]= 2013-2001 \\\\= 12[/tex]

Therefore,

[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]

Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

And The projected number of new cases for 2013 is 1352.

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Related Questions

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds

Answers

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;

[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]

2 and three-fourth therefore gives the required expression

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression , the equivalent expression can be gotten as shown;

Step-by-step explanation:

I’ll mark you brainliest help!!! Which function is increasing?

Answers

Answer:

the answer is D. have a nice day :)

Since 3 is the largest number out of all of them. D. is the correct answer. :))

Factor 12x−54 using the GCF.

Answers

Answer:

6(2x-9)

Step-by-step explanation:

The two numbers in question are both even, so we can see that we can pull out 2, giving us:

2(6x -27)

Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:

6(2x-9)

This can be simplified no further, so this gives us the final answer, where the GCF is 6.

-5/3 x(-1/8)weurEzzrtx

Answers

Answer:

-5/3 x (-1/8 )= 5/24 = 0.2083333

Step-by-step explanation:

The output or possible values you could get as a result from
an expression or equation.

Answers

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

Read more about equations at:

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Can someone pls help me with this?

Answers

communicative Property: (5+7) +3

Associative prop: (3+5) +7 or (3+7) +5

And the last one, I don’t fully understand what it is asking, but I believe it is asking for the answer which would be 15

Find any 6 ratinol numbers between -5/6 and 5/8​

Answers

Answer:

There is a variety of answers. you will find an example below

Step-by-step explanation:

To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.

- 5/6 = -40 / 48

5 / 8 = 30 / 48

Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)

5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.

Hope this helps

URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c for child

a for adult

4c+ 6a ≤ 120  for build

4c +4a ≤ 100 for test

We want 20 child and 6 adult

4(20)+ 6*6 ≤ 120

80+36  ≤ 120

116  ≤ 120   true for build

4*20 +4*6 ≤ 100

80+24  ≤ 100

104 ≤ 100

False for test

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up

the time daniel spent gradually slowing down.

Daniel's fastest rate of speed during his ride.

The time Daniel spent at the ballpark.

Answers

the slope of the line between c and d are  a constant meaning that he must have been riding at the same speed or something

d

Answer:

On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.

What is another word for magnitude ​

Answers

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

Learn mroe about magnitude here:

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Please help. Posting question below will mark brainiest and 25 points!!!!!!

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

Need help fast
(X-5)^2+11=20

Answers

Answer:

X= 8, 2

Step-by-step explanation:

So, to solve answers like these you have to have to take the root of both sides and then solve.  Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes.  Hope this helps!!

Answer:

Answer: (x-2) • (x-8)

(X-5)^2+11=20

Step by Step explanation:

1. 1 • 16 = 16

2. Find two factors of 16 which will be -10

-16 + -1 = -17

-8 + -2 = -10

3. x2 - 8x - 2x - 16

4. x • (x-8)

2 • (x-8)

5. (x-2) • (x-8)

(((( Yo Welcome)))

Please answer I need help no rush.

Answers

Answer:

12 divided by -6

Step-by-step explanation:

12÷(-6) (3) + (-2)

PEMDAS

P  There are no operations inside the parentheses

E There are no exponents

MD  Multiply and divide from left to right

12 divided by -6 is the first from left to right

Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

$___

Answers

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Solve 5 + x - 14 = x - 7

Answers

Answer:

No solution

Step-by-step explanation:

5+x-14=x-7

-9+x=x-7

2+x=x

2=0

No solution

What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)

Answers

Answer:

x= 4 y = -1

(5,-1)

Step-by-step explanation:

x + y = 4 x − y = 6

Add the two equations together to eliminate y

x + y = 4

x − y = 6

---------------

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Now find y

x+y = 4

5+y = 4

Subtract 5 from each side

5+y-4 = 4-5

y = -1

Answer

5,-1

Step-by-step explanation:

edg 2020

fully Factorise 7m^2 + 13m​

Answers

Answer:

[tex]m(7m + 13)[/tex]

Step-by-step explanation:

[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]

1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answers

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

What is the quotient of y/4 divided y/8

Answers

Answer:

2

Step-by-step explanation:

when you divide fraction, you flip the second fraction and change to multiply

y/4 *8/y =8/4 =2

Answer:

2

Step-by-step explanation:

[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]

= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]

= [tex]\frac{8y}{4y}[/tex]

= 2

Hope this helps <_>

write a rule for the nth term of the sequence 15, 19, 23, 27

Answers

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

On a compass, what bearing is South East?​

Answers

A bearing of 168.750° south by east

What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

Answers

Answer:

[tex]6cm[/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]

hope this helps

Answer:

6

Step-by-step explanation:

Please help please :( I will really appreciate it thank you

Answers

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹

Answers

Answer:

y=3/4x+17/4

Step-by-step explanation:

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

The slope-intercept form of the equation of the line is  y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!

5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)

Answers

hope it helps you :-)please mark me as brainliest :-) | (-:

What is the measure of the supplementary angle of the 65˚ angle?

A.50˚
B.40˚
C.130˚
D.310˚

Answers

Answer:

115

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:

x+65=180

x=180-65=115 degrees

Hope this helps!

Answer:

None of them

Step-by-step explanation:

Supplementary angles have 180 degrees

50+65=115

40+65=105

130+65=185

310+65=375

Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem: 171 divided by 3.8 Jacob started by multiplying the divisor and the dividend by 10. This is the new problem: 1710 divided by 38 Use long division to find the quotient. 0.45 4.5 45 450

Answers

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?

Answers

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

True or false All irrational numbers are real numbers. Explain

Answers

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.

The answer is True

The statement that all irrational numbers are real numbers is true.

Real number is a union of rational number and irrational numbers.

An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.

Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.

Thus, all irrational numbers are also real numbers.

Yes, the given statement is true.

Learn more about irrational numbers here:

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Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?

Answers

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

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