Which regression equation best fits these data?
х
y
1-2, 16).16)
15
-5
11
21.15)
-3
14
.6314
.(-5.11
10
(372)
- 2
16
4,9)
-1
16
1
15
3
12
6
4.
9
5
6
O A. y = -0.59x + 12.5
B. y = 0.30x2 + 0.48x + 15.83
C. y = 12.00 0.94%
Answer:
a will be the correct answer bro be sure
The Regression equation best fits these data is ŷ = -0.58939x + 12.52235
We have the table as from which can be calculated as
Sum of X = 2
Sum of Y = 99
Mean X = 0.25
Mean Y = 12.375
Sum of squares (S[tex]S_x[/tex]) = 89.5
Sum of products (SP) = -52.75
As, Regression Equation
ŷ = b x + a
where b = SP/S[tex]S_x[/tex]
b = -52.75/89.5
b = -0.58939
and, a = MY - b MX
a = 12.38 - (-0.59)(0.25)
a = 12.52235
So, the required equation is ŷ = -0.58939x + 12.52235
Learn more about Regression line here:
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I need help please =)
Answer:
27
Step-by-step explanation:
111÷4=27.75
Hope this helps!
Answer:
27
Step-by-step explanation:
111/4 = 27
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
20 is 16% of what number?
Answer:
80-
Step-by-step explanation:
20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80
help help help help help help
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B or 137.5. :)
What happen when you multiply a number by it's reciprocal?
Answer:
When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .
Trying to help my daughter can't figure this out.
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4meters less than the length. Find the length and width of the rectangle. (use l for the length)
Answer:
width equals 16
length = 20
Step-by-step explanation:
Hello there!
we know that the perimeter is 72 m
and the width is 4 m less then the length
perimeter is 2w+2l
w=width and l = length
72 + (2x-4) = 72+8 = 80
80 / 4 (because there are 4 values, w, w, l, l ) = 20
so now...
20 - 4 = w
16 = w
and 20 = l
16+16 = 32
20+20 = 40
32+40 = 72
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair
(1, 2) represents the selection of boards 1 and 2 for inspection.
(a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.
Answer:
a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
b) p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
Step-by-step explanation:
Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1, 2) represents the selection of boards 1 and 2 for inspection.
To find - (a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.
Proof -
(a)
Given that there are 5 computer boards
Let,
The Boards are 1, 2, 3, ,4 and 5.
Now,
Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10
And the choices be
Choice I -
Boards 1 and Board 2
Choice II -
Board 1 and Board 3
Choice III -
Board 1 and Board 4
Choice IV -
Board 1 and Board 5
Choice V -
Board 2 and Board 3
Choice VI -
Board 2 and Board 4
Choice VII -
Board 2 and Board 5
Choice VIII -
Board 3 and Board 4
Choice IX -
Board 3 and Board 5
Choice X -
Board 4 and Board 5
And
These outcomes becomes
S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
(b)
Given that, X be the number of defective boards
And there are only two defective boards (Board 1 and Board 2) in the lot
Therefore,
X can be 0, 1, and 2.
Now,
If X = 0
⇒ There is no defective boards
⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }
So,
P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3
Now,
If X = 1
⇒ There is one defective board
⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }
So,
P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6
Now,
If X = 2
⇒ There is two defective boards
⇒ Possible outcomes be - { (1,2) }
So,
P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1
And
P(x) = 0 if x ≠ 0, 1, 2
SO, The pmf be
p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
your friend earns $10 babysitting. This is 3 more than you earn for washing the car. How much do you make for washing the car
Answer:
$7
Step-by-step explanation:
$10 - $3 = $7
Evaluate the expression where x=5 and y =2
Answer:
6
Step-by-step explanation:
Plzz help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
400+80x and 80(5+x)
Step-by-step explanation:
find the product (ab-3)^2
Answer:
a^2b^2 -6ab + 9
Step-by-step explanation:
Can you simplify 41/24
Answer:
1 17/24
Step-by-step explanation:
If you want to turn it into a mixed number, divide.
24 goes into 41 1 time
41-24=17
1 17/24
Helpppppppppppppppppp
The number on top of sigma is the number of terms.
The answer is C. 8 terms.
Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much pure apple juice should she use?
95141 1404 393
Answer:
3 liters
Step-by-step explanation:
There's a simple and effective "visual" way to solve mixture problems that makes short work of this.
In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.
The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.
In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:
3 L of 100% juice1 L of 20% juiceWhat is the domain and range as an inequality and if you could explain how you got it that would be great
Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
The domain:
x > 0 or x = (0, +∞)The range:
y < -2 or (- ∞, -2)Range
Set of y values
(-oo,-2)As -2 is not included (open dot)
Domain
Set of x values
(0,oo)0 is not included (open dot)
Help im giving brainliest
Answer:
can I have it pls I am begging you oh and there is no question so I cannot answer anything
Step-by-step explanation:
How does lack of sleep affect risk of injury?
O A. It causes illness.
B. It causes distractions.
C. It interferes with hearing.
D. It interferes with motor responses.
Answer:
D. It interferes with motor responses
Step-by-step explanation:
Don't ask why I know this
Shirts are on sale for $12 at a clothing store. How many shirts can you buy with $48?
Answer:
4 if no tax is included because 4 times 12 equals 48
hope this helps
Step-by-step explanation:
Answer:
4 shirts in total,
12x4=48
Step-by-step explanation:
Hope this helps!
c
Solve for m:
3/4m - 3 = 9
May I please have help!
Answer:
m=16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0
Step 1: Simplify 3/4
Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0
Step2: Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
3 3 • 4
3 = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m - (3 • 4) 3m - 12
—————4——————— = ———4————
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(m-16)
———————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (m-16) = 0
6.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : m-16 = 0
Add 16 to both sides of the equation :
m = 16
find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form, The figure is not to scale. (image included)
Answer:
420 ft^2
Step-by-step explanation:
[tex]h = \sqrt{25 ^{2} - 7 } [/tex]
[tex] = \sqrt{570} [/tex]
[tex] = 24[/tex]
[tex]a = \frac{1}{2} (b1 + b2)h[/tex]
[tex] = \frac{1}{2} (14 + 21)(24)[/tex]
[tex]answer = 420ft ^{2} [/tex]
Answer:
245 ft sq
Step-by-step explanation:
Find the are of the triangle and the square seperatly.
Area of a square is A = s * s
A = 14 * 14 = 196 ft sq
Focusing on the triangle, the dotted line is the same length as the bottom of the square. 14 ft
Area of a triangle is A = 1/2 * b * h
A = 1/2 * 14 * 7
A = 7 * 7
A = 49 ft sq
So, 196 + 49 = 245
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M
Answer:
The total number of pencils that Mr. Moretti gives to his is 162.
Step-by-step explanation:
He puts 3 mechanincal pencils in each bag.
In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.
So in each bag, 3 + 6 = 9 pencils.
What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?
18 students, and each gets 9 pencils.
18*9 = 162
The total number of pencils that Mr. Moretti gives to his is 162.
Answer:
162 pencils
Step-by-step explanation:
i did the i ready lesson!
The members of a youth dance company were asked their favorite ice cream flavors for
an upcoming party to celebrate a competition win. The results are displayed in the bar
graph below.
Based on the information in the graph, which of the following statements are true?
Choose one. 10 points
Favorite Ice Cream Flavors
10
8
6
Amount
4
2
0
Vanilla - 6
Strawberry - 5
Cookies & Cream - 9
Butter pecan - 3
Chocolate - 2
Answer:
2
Step-by-step explanation:
What is m<4? Pls help me
Answer:
65°
Step-by-step explanation:
180-115=65
Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)
Answer:
equation: s = 70W + 750
answer for 12 weeks: 1590
Step-by-step explanation:
You replace W with 12 to get the total amount per 12 weeks.
If f ( x ) = 6 x + 54 with f ( x ) = y , what is the vertical intercept?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
x - intercept(s) : ( -9, 0 )
y - intercept(s) : ( 0, 54 )
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
How is the expression “the product of six and eight added to eleven” written?
Answer:
(5*8)+11 is the expression
Answer:
(6x8)+11
Step-by-step explanation:
Please help ASAP please and thank you have a great and blessed day!
Answer:
I RLY HOPE THIS IS CORRECT WISH THE BEST OF LUCK
Answer:
12.08
Step-by-step explanation:
If you order these numbers from least to greatest, you would get...
12.08, 12.087, 12.7, 12.78, 12.807
The least second it took to complete the race is 12.08
hope you have a wonderful day too! <3
Answer this correctly and I will give brainslist + 10 points from question (:
Answer:
a
Step-by-step explanation: