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 1995, 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, estimate the calendar year in which the number of new cases would reach 887.
Answers
The linear regression equation that represents the given set of data is y=0.2x+865.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.
The line of best fit is in the form y=bx+a
The slope is b= [tex]\frac{\sum (x-\bar x)\sum (y-\bar y)}{\sum (x-\bar x)^2}[/tex]
Here, [tex]\bar x[/tex] =(0+1+2+3+4)/5
= 1.8
[tex]\bar y[/tex] = (856+871+924+961+961)/5
= 914.6
∑(x-[tex]\bar x[/tex])=(0-2.5)+(1-2.5)+(2-2.5)+(3-2.5)+(4-2.5)
= -2.5-1.5-0.5+0.5+1.5
= -2.5
∑(y- [tex]\bar y[/tex]) =(865-914.6)+(871-914.6)+(924-914.6)+(961-914.6)+(961-914.6)
= -49.6-43.6+9.4+46.4+46.4
= 9
So, slope b= 1.8×9/9²
b=0.2
Substitute b=0.2 and (0, 865) in y=bx+a, we get
865=0.2×0+a
a=865
Substitute b=0.2 and a=865 in y=bx+a, we get
y=0.2x+865
Therefore, the linear regression equation that represents the given set of data is y=0.2x+865.
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"Your question is incomplete, probably the complete question/missing part is:"
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 1995, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number: Years since 1995 (x) New Cases (y) 856 871 924 961 961
Related Questions
A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)
Answers
The simplified expression for its perimeter and area are 8x.
What is the perimeter of a square?The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.
An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.
The formula for finding the Perimeter of square = 4*a
= 4 * 2x
= 8x
Perimeter of square = 8x
Hence, the simplified expression for its perimeter is 8x
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One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car driving?
a. 90 mph
b. 80 mph
c. 50 mph
d. 60 mph
Answers
Answer:
d.
Step-by-step explanation:
The length of a car would be about 12 miles or 12 feet or 12 inches or 12 yards ?
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Answer:
12 feet !!
Step-by-step explanation:
its the onlt one that can fit into a car
3.5 multiplied by 2y
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Answer:
7y
Step-by-step explanation:
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Answer:
Plz give
Step-by-step explanation:
Expressions have no equal sign while Equations have the equal sign
After surgery, a patient drinks 2ounces of clear liquids every 2 hours. How many ounces will the patient drink in 8 hours?
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Answer:
8
Step-by-step explanation:
Hope it helps pl give brainliest! :D
Which side lengths does NOT form a triangle?
A
7 feet, 7 feet, 14 feet
B
11 inches, 14 inches, 17 inches
с
12 meters, 14 meters, 15 meters
D
6 kilometers, 8 kilometers, 10 kilometers
Answers
Answer:
6kilometers ,8 kilometers,10kilometers
Hurry please !! It’s timed...
Answers
What is the solution to the system of equations 3x 2y 7 and Y 3x 11?
Answers
The solution to the system of equations is x = 4 and y = 5.
3x + 2y = 7
y = 3x - 11
Substitute 3x - 11 for y in the first equation:
3x + 2(3x - 11) = 7
Simplify:
3x + 6x - 22 = 7
Combine like terms:
9x - 22 = 7
Add 22 to both sides:
9x = 29
Divide both sides by 9:
x = 29/9
x = 4
Change x in the second equation to 4:
y = 3(4) - 11
Simplify:
y = 12 - 11
y = 1
The solution to the system of equations is x = 4 and y = 1.
The solution to the system of equations 3x + 2y = 7 and y = 3x - 11 is x = 4 and y = 1. To solve this system, we first substituted 3x - 11 for y in the first equation. We then simplified the equation and combined like terms to get 9x - 22 = 7. We then added 22 to both sides, divided both sides by 9, and got x = 29/9 which is x = 4. We then substituted 4 for x in the second equation, simplified, and got y = 1. Thus, the solution to the system of equations is x = 4 and y = 1.
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if pq=3x+4 and the perimeter of pqr=57, find the value of x
Answers
Answer: type this in bitly
Step-by-step explanation: 3f3FcEi
The value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that:
if PQ = 3x+4 and the perimeter of PQR = 57,
3(3x + 4) = 57
9x + 12 = 57
9x = 45
x = 5
Thus, the value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.
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Find f(-4) when f(x) = 20- x. A, -24 В. -16 C. 16 D. .24. 4
Answers
Answer:
D. 24
Step-by-step explanation:
substitute -4 for x:
f(-4)=20-(-4)
f(-4)=24
What are the solutions to 3x 2 4 0 `?
Answers
The solution of the expression 3x² - 4 = 0 is x = ±2/√3.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation
Here we have the expression 3x² - 4 = 0.
Now, we have to solve this one by using the following steps:
First we have to add 4 to both sides of the equation, then we get the expression as,
=> 3x² = 4
Now, we have to Divide each term by 3 and simplify, then we get
=> x² = 4/3
Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,
=> x = √4/3
When we simplify this one further, then we get
=> x = ±2/√3.
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Find the number that is 2/3 of the way from 3/4 to 3 5/12
Answers
Answer:
I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function
Step-by-step explanation:
you need to split it in half then multply then add
Answers
Answer:
130^2 or 130 meters squared
Step-by-step explanation:
I decomposed the figure, then found the area of the decomposed figures then found the sum of them.
FIGURE A:
3 x 3 = 9
= 9^2
FIGURE B:
11 x 11 = 121
= 121 meters^2
So 121 + 9 = 130
= 130 meters^2
REMEMBER!!!!
THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA
28 < 4v
solve for v
pls help
Answers
Answer:
v = 7
Step-by-step explanation:
Divide both sides by 4 to isolate v
28/4 = 4v/4
v = 7
What is the area of a circle if the diameter is 40 meters PLEASE HELP PLEASE IM TIMED
Answers
Answer:
Half of 40 is 20(new radius)
20^2 = 400
400 x 3.14 = 1256 meters^2
Formula of area of a circle:
πr2
pi(3.14 or 22/7 whatever they tell you to use for pi) x radius(half of your diameter or your given radius) being squared(^2 to the power of 2)
A and B are vertical angles. A=(x+15) B=(5x−17) the measure of b
Answers
Explanation
1. Since vertical angles are congruent you can set the equations equal to one another like x+15 = 5x-17.
2. Subtract x on both sides to combine like terms . That gives 15 = 4x - 17
3. Add 17 on both sides to combine like terms. That gives 4x = 32.
4. Divide 4 on both sides to solve for x. That results in x = 8.
5. To find the measure of b, you can input 8 into A since A=B and it’s quicker math. So 8 + 15 = 23 degrees
There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?
Answers
Answer: 2/12 (1/6 simplified)
Step-by-step explanation:
5+4+3=12
2 marbles of the same color
2/12
2/2=1
12/2=6
Can u please help?.........................
Answers
The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3 is the ordered pair (3, 0).
How to determine the coordinates of point P?In this scenario, we would use line ratio to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.
In Mathematics, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Substituting the given parameters into the line ratio formula, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(2(9) + 3(-1))/(2 + 3)], [(2(6) + 3(-4))/(2 + 3)]
P(x, y) = [(18 - 3)/(5)], [(12 - 12)/5]
P(x, y) = [15/5], [0/5]
P(x, y) = [3, 0]
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Complete Question:
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-1, -4), B(9, 6); to 3. The coordinates of P are?
What is an unsolvable equation?
Answers
1. The Riemann Hypothesis Equation
Sarah had 6 yards of ribbon. She needs 1 1/4 yards of ribbon for her project. How many complete ribbons can she cut from the 6 yards
Answers
Answer:
4 complete ribbons
Step-by-step explanation:
From the above question,
We can deduce that a project = complete ribbons
Hence,
1 1/4 yards = 1 complete project
6 yards = x
Cross Multiply
1 1/4 yards × x = 6 yards × 1 complete project
x = 6 yards ÷ 1 1/4 yards
x = 6 yards ÷ 5/4 yards
x = 6 yards × 4 yards/5
x = 24 /5
x = 4 4/5 complete projects(ribbons)
Therefore, she can cut 4 complete ribbons from 6 yards
The minimum value of G in G ( x ) = 3 tan x is
Answers
The function G(x) = 3 tan(x) does not have a minimum value.
What are the relative extremas of a function?The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.
The extremas are classified as local minimum or local maximum, as follows:
Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.The tangent function does not have a local minimum, as it is increasing over it's entire domain.
The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.
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Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
Answers
Answer: x=8
Step-by-step explanation:
3(x+4) = 36
3x+12= 36
3x-12= -12
3x = 24
— —
3 3
X=8
SOMEONE PLEASE HELP ME WITH THIS QUESTION AND SHOW WORK ASAP.
Answers
Answer:
1,121.44 or 1,121.4 (nearest tenth)
Step-by-step explanation:
l = 16.8
w = 8.9
h = 16
A = 2(lw + wh + lh)
2((16.8)(8.9) + (8.9)(16) + (16.8)(16))
2(149.52 + 142.4 + 268.8)
560.72(2)
Answer:
Below
Step-by-step explanation:
SA = 2(w x l + h x l + h w)
= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)
= 1,121.44 m2
With rounding = 1,121.4 m2
Hope this helps!
The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?
Answers
Step-by-step explanation:
1. Since the lines are parallel to each other, that means they have the same slope, which is 14.
2. To find the equation of line q, you would need to use the point-slope equation, which is y2 - y1 = m (x2 - x1) and input the values of point (6, -3).
3. The equation you need to solve after inputting values would be y + 3 = 14 (x - 6).
4. Simplify the equation by distributing 14 into the parentheses. This would give you y + 3 = 14x - 84.
5. Now, subtract 3 on both sides to get the y alone. This should give you y = 14x - 81.
Answer:
The equation of line q in slope-intercept form is
y= 1/4 x– 9/2
.
Step-by-step explanation:
What are the odds of drawing a jack or 10 out of 52 cards?
Answers
Answer:
The standard odds of drawing a jack, king, etc is always 1 in 13 from a shuffled 52 card deck. 4 suits,13 cards each, 1 jack for each suit
Step-by-step explanation:
The population of deer in a national forest has been increasing by about 5.8% annually. The current population is about 2,200 deer. The function y = 2,200 - can be used to find the number of deer, y, after x years. What value belongs in the box?
Answers
Answer:
127 goes in the box
Step-by-step explanation:
I hope this helps you.
12. Which set of ordered pairs below is a function?
Answers
Answer:D. 1 and 2
Step-by-step explanation:
Domain cannot repeat
What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1
Answers
Answer: 1/2
Step-by-step explanation:
( see image ) ( Keep Change Flip )
Lin is shopping for a couch with her dad and hears him ask the salesperson "How much is your commission."
The salesperson says that her commission is 5.5 of the selling price.
Answers
Answer:
30.25
Step-by-step explanation: