The mean and standard deviation for number of battery crimes in the U.S. from 1985 to 2000 are X = 326,845 and sx = 27,569. The mean and standard deviation for number of property crimes in the U.S. for the same time period are y = 634,235 and Sy = 42,268. The correlation coefficient is r = 0.92. Find the equation for the least- squares regression line for number of property crimes compared with number of battery crimes.
A: y = 1.41 + 173,214.37x
B: y = 173,214.37 + 1.41x
C: y = 421,052.69 + 0.65x
D: y = 0.65 + 421,052.69x
E: Unable to determine the equation​

Answers

Answer 1

Answer:

The correct answer is: A

Step-by-step explanation:

The value of the slope and intercept is:

=0.92(42268/27569)

=1.410518

a=y-bx

=634235-1.410518×326845

=173214.3716

The eququation for the least-square regression line is:

y=173214.3716 + 1.4105518x

Round to the 2 decimal place:

=173,214.37 +1.41x

Answer 2

The equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

How to determine the least square regression equation?

The given parameters are:

Mean x, μ = 326,845 Standard deviation of x, σ = 27,569Mean y, μ = 634,235 Standard deviation of y, σ = 42,268Correlation coefficient, r = 0.92

Calculate the slope (m) using:

m = r * Sy/Sx

This gives

m = 0.92 * 42268/27569

Evaluate

m =1.41051761036

Approximate

m = 1.41

The y-intercept (c) is calculated using:

c = μy -m * μx

So, we have:

c = 634235 - 1.41051761036 * 326845

Evaluate

c = 173214.371642

Approximate

c =173214.37

The least-square regression line equation is represented as:

y = mx + c

So, we have:

y = 141x + 173214.37

Hence, the equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

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Related Questions

Could someone help me with this math problem. I really need help I have a test tomorrow so I need help with this.

Answers

Answer:

A. x ≥ -3 and x < 2, or -3 ≤ x < 2

Step-by-step explanation:

Remember solid dot means include, open dot means not include.

x ≥ -3: this means x is greater and equal (includes) -3.

x < 2: this means x is less than 2 and does not include it.

Answer:

A

Step-by-step explanation:

So on the number line you see a closed circle at -3 and an open circle at 2.

Closed circle represents it's either [tex]\leq[/tex] or [tex]\geq[/tex]. Open circle represents < or >.

So the first part has a closed circle at -3 and goes towards the right side. Since it does that, it would be [tex]x \geq -3[/tex].

The second part has an open circle at 2 and goes towards the left side. Since it does that, it would be [tex]x < 2[/tex].

To combine it together, it would get [tex]-3 \geq x < 2[/tex].

Since option A is [tex]x \geq -3[/tex] and  [tex]x < 2[/tex], or [tex]-3 \geq x < 2[/tex], A would be the answer.

Hoped this helped! If not, please let me know and I'll try to explain more! <3

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

Answers

It’s most likely to be 3

An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question​

Answers

Answer:

3.54

Step-by-step explanation:

Which of the figures is a concave polygon?

Answers

Answer:

B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much will she earn each hour after the raise?

Answers

Answer:

28.75

Step-by-step explanation:

We can do 15% of 25 which is 3.75. Add this on to 25, and get 28.75.

The amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.

The raise = 15 % of 25 = 3.75

Total after raise = 25.00 + 3.75 = $28.7

Thus, the amount she is earning each hour after the raise is $28.75 if Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise.

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If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?
The measure of the third angle is (Simplify your answer.)

Answers

Answer:

50

Step-by-step explanation:

Triangle=180 degrees

96+34=130

180-130= 50

50 degrees is the third angle

are these lines perpendicular? yes or no?
y= 4x+2
y= (-1/4)x+12

Answers

Answer: yes

Step-by-step explanation:

Write an expression for the sentence: Joe has $12 and he earns $8 per hour

Answers

Answer:

12+8x ugh I gotta type some more bcuz it has to be 12 characters lol

I will mark brainliest if you can help with these and show work plus 40 points

Answers

Answer:

Step-by-step explanation:

0=5y-x+5 in slope intercept form

Answers

Answer:

y=1/5x-1

Step-by-step explanation:

SI form is Y=mx+b

Answer: 1/5x-1
Hope it’s correct


Why do candidates want to win states
like Texas, Florida, and New York?

Answers

They are swing states with a large amount of electoral votes

The table represents a linear function.

[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------

What is the slope of the function?
–6
–4
4
6​

Answers

Answer: -6

See attached picture

are the ratio 1:2 and 9:10 equivalent ?

Answers

Answer:

Not in the slightest

Step-by-step explanation:

What is 6.92 x 10-3 written in standard form?

Answers

The standard form is 0.00692

The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form

Answers

Answer:

the answer is 24/25

hope it helps have a nice day! :)

The image above shows a linear pair. Solve for x:

x = 12.14
x = 12.14

x = 25
x = 25

x = 28.33
x = 28.33

x = 58.33
ANSWER FAST PLEASE WILL GIVE BRAINLIEST!!!!

Answers

Answer:

x = 25 :)

Step-by-step explanation:

(5x+10)+(2x-5)=180

then solve!

hope this helps

Answer:

The answer is X = 25

Step-by-step explanation:

Question 1
8 pts
1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Number of portraits Time (In Hours)

1
5
2
10
3
15
4.
20
WN
yes
no
No answer text provided.
No answer text provided.

Answers

Answer: Yes

If you notice, you can actually see that each number is multiplied by 5:

1 x 5 = 52 x 5 = 103 x 5 = 154 x 5 = 20

Hope this helps you!

Solve the proportion for x.

StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
x = 2
x = 3
x = 5
x = 10

Answers

Answer:

2

Step-by-step explanation:

had that answer on eg

Answer:

x=2

Step-by-step explanation:

Look at Data Set A
1 3 3 2 4 0 4 3 3 5 2
Identify whether this will be normal distribution or skewed left or right? (Hint: find the five number summary and make a box plot)
O skewed left
O skewed right
O normal distribution

Answers

The answer is skewed in the right direction

The distribution of set A is a normal distribution

The data in set A is given as:

1 3 3 2 4 0 4 3 3 5 2

Represent the dataset as a plot, as follows

0

1

2 2

3 3 3 3

4 4

5

Notice that the plot above increase from 0, then reaches a maximum at 3, and then decreases from 3 to 5

This implies that it follows a bell curve.

When a distribution follows a bell curve, such data is a normal distribution.

Hence, the distribution is a normal distribution

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I have 90 pancakes for a party. Each person gets 3 pancakes. How many people can come to the party before I run out of pancakes?

Answers

Answer:

30 people

Step-by-step explanation:

90 divided by 3 would 30 so 30 people could come to the party before she ran out of pancakes

Solve for a.

4(a + 3)=12 + 4a



−1
−3
all real numbers
no solution

Answers

Answer:

All real numbers

Step-by-step explanation:

Answer:

C) all real numbers

Step-by-step explanation:

4(a + 3) = 12 + 4a

open the parenthesis

4*a + 3*4 = 12 + 4a

4a + 12 = 12 + 4a

subtract 4a from both sides of the equation

12 = 12

since 12 = 12 regardless of what x is the solution is all real numbers

Which expression is equivalent to X4 - 18X2 +81?
(x-g)(x² +9)
2.
of +9)(x2 +9)
3.
(9-x)(9+x2)
(x² - 9)(x² – 9)
4
Math

Answers

I can’t upload any working right now so I hope you’ll understand from an explanation, all it is is a hidden polynomial. You can say:

Let y=x^2
Then the equation becomes:
y^2 - 18y + 81
Factorise that to give you:
(y-9)(y-9) Or (y-9)^2
But remember, y=x^2. So the equation becomes:
(X^2-9)(X^2-9)

Hope this helped :)

u have to solve quadratic equations algebraically ,if u are math nerd pls help, Solve the equation 6x=2x^2+1

Answers

Answer: here you go sir

Step-by-step explanation: I couldn’t put it on here because I had to put certain symbols. Hope this helps!

Which situation shows a constant rate of change.

Answers

D because it is the only one that is unpredictable

D is the answer hope this helped

Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.

Answers

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3

It is like asking:

Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)

(−4, −17), (−3, −10), (−2, 5), (−1, 2)

(1, −7), (2, −10), (3, −13), (4, −16)

(1, 1), (2, 4), (3, 7), (4, 10)

Answers

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

All the coordinates are represent linear function.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

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the perimeter of the triangle below is 38 units. Find the length of side WX. Write your answer without variables

Answers

Answer:

5.5

Step-by-step explanation:

Add each side of the triangle.

3z+z+1+4z-3 = 8z - 2

8z - 2 is equivalent to the  perimeter.

Since you know the perimeter is 38 units, you can set 8z-2 to 38.

8z-2 = 38

Solve for z. Subtract 2 from each side.

8z = 36

Divide each side by 8.

z = 4.5

Now solve for side WX.

WX = z + 1

WX = 4.5 + 1

WX = 5.5

Solve x3 = 64 over 27

Answers

Answer:

x= 4/3

Step-by-step explanation:

Answer:

Hope it helps

Step-by-step explanation:

So you want to get x by itself.

x3= [tex]\frac{64}{27}[/tex]

You could simplify

x3=2.37037037037

Then just divide 3 on both sides

x=0.79012345679

Or you can divide a fraction by a whole number and just divide the numerator and the denominator by 3.

x= [tex]\frac{21.3}{9}[/tex] or just 2.36666666667.

What is the next number in the pattern below?

29, 28, 26, 23, 19

Answers

Answer:

14

Step-by-step explanation:

ive answered this

Andrea paid $9.99 to join an online music service. If she purchases 12 songs each month at a cost of $0.80 per song, what will be the total amount she has spent after 6 months?

Answers

Answer:

$67.59

Step-by-step explanation:

$9.99 + 6(12×$0.80)

$9.99 + 6($9.60)

$9.99 + $57.6

$67.59

Did mentally, so feel free to double check! ❤

Give brainliest as you wish and follow me so i can get a notification to help you!❤

After 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
To find the total cost of the songs,
= 12 songs × $0.80/song = $9.60

Then, the total cost of the subscription and the songs over 6 months:
= $9.99 + (6 × $9.60)
= $9.99 + $57.60
= $67.59.

So, after 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.

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