Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alphaequals0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $65 comma 000 comma 000, $89 comma 000 comma 000, $51 comma 000 comma 000, and so on? Budget (x) 65 89 51 35 204 98 85
Answers
The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :
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Question :
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42
a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0
ii) H_0: rho = 0, H_1: rho notequalto 0
iii) H_0: rho notequalto 0, H_1: rho = 0
iv) H_0: rho = 0, H_1: rho > 0
b. Construct a scatterplot. Choose the correct graph below.
c. The linear correlation coefficient r is.
d. The test statistic t is.
e. The P-value is.
Answer:
Pvalue > α ; Hence, we fail to reject the null.
Step-by-step explanation:
When testing for correlation :
Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.
1.)
H_0: rho = 0,
H_1: rho notequalto 0
2.)
Given the data :
Budget(x) : 61 92 48 36 135 58 93
Gross(y) : 69 62 53 58 627 144 42
Scatter plot is attached below
3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation
4.)
Test statistic :
T = r / √(1 - r²) / (n - 2)
r² = 0.751² = 0.564
T = 0. 751 / √(1 - 0.564) / (7 - 2)
T = 0.751 / 0.2952964
T = 2.543
E.)
Using the Value from Tscore calculator :
Pvalue(2.543, 5) ; two tailed
Pvalue = 0.0517
At α = 0.05;
Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.
Related Questions
HI could some please help me out , I will give BRAINLEST
Answers
Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3
Answer:
[tex]y=-1/3x+2[/tex]--------------------------
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{2-1}{0-3}[/tex]
[tex]=1/-3[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-1=-1/3(x-3)[/tex]
[tex]y-1=-1/3x+1[/tex]
[tex]y=-1/3x+2[/tex]
--------------------
hope it helps...
have a great day!!
The Smith family was one of the first to come to the U.S. They had 8 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had: (do not round your answers)
Answers
Answer: Hello some part of your question is missing below is the missing part
Missing question: Find the probability that the Smith family had at least 6 girls?
answer : 0.1406
Step-by-step explanation:
Number of children = 8
probability of a child being a girl ( success ) = 0.5 (
P( boy ) ( q ) = 1 - 0.5 = 0.5
P( at least 6 girls ) = p(k = 6 ) + p(k = 7 )
= 0.109375 + 0.03125 ≈ 0.1406
( using Binomial probability Calculator )
6. Find the sum of the geometric series.
a1=-9 a5=-729 r=-3
Answers
Answer:
Sn = -9(1-(-3)^n)/4
Step-by-step explanation:
Since r < 1, the sum of nth term of a geometric sequence is expressed as;
Sn = a(1-r^n)/1-r
a is the first term
n is the number f terms
r is the common ratio
An = -9(1-(-3)^n)/1-(-3)
Sn = -9(1-(-3)^n)/4
Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4
Jacob bought some supplies for his lemonade stand. He purchased lemons for $4.85, sugar for $3.16, containers for $18. Taxes were included in all the prices. How much money did Jacob spend on all his purchases?
Answers
Answer:
26.01
Step-by-step explanation:
HELP IM IN A MIDDLE OF A TEST!! A locker combination has four nonzero digits. If no digit can be repeated and the first three digits are 1-2-3, what is the probability that the fourth digit is 4?
A.) 1/6
B.) 1/7
C.) 1/8
D.) 1/9
NO LINKS PLEASE
Answers
Answer:A
Step-by-step explanation:
got right in quiz
Simplify : (3-3y+y)
ANSWER ?
Answers
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answers
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.
Answers
1,873
Step-by-step explanation:
Which inequality is true when s = -4 and t = 2?
1. s > t
2. s < -t
3. -s < t
4. -s < -t
Answers
Is the answer
PLS HELP THIS IS MY FINAL
Answers
Answer: C. 25.6
Step-by-step explanation:
Kathy has a circular hot tub in her backyard with a radius of 5.5 feet. She wants to place a decorative border around the circumference of the hot tub. If the border costs $6.70 per foot, how much will the border for the hot tub cost?
Answers
PLEASE HELP SOLVE FOR PT. A AND B
Answers
Answer:
a=1; b=14
Step-by-step explanation:
you have to form a perfect square
(a+b)²=a²+b²+2ab
If you add a one you will get a perfect square
x²+2x+1 = (x+1)²
if you added a one in one side you have to added to the other side too
(x+1)² = 13+1
(x+1)² = 14
Answer:
a = 1, b = 14
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term)² to both sides , that is
x² + 2(1)x + 1 = 13 + 1
(x + 1)² = 14
with a = 1 and b = 14
Find the shaded area of the circle below.
Answers
Answer:
area of the circle,
radius=10m
diameter=20m
πr²
3.14×100
314m²
area of the triangle=1/2×20×10
=100
area of the shaded area=314-100=214 m²
the answer is option H
HELPP!!! PLEASEEEEEEEEE
Answers
Answer:
No
Step-by-step explanation:
(0, 0) Is not a answer because ithe point does not fall within the shaded area
Austin correctly answered 92% of the questions on a geography quiz.
Liz answered 47 of the 50 questions correctly.
Use the drop-down menus to explain who earned the higher score.
Answers
Answer:
Liz scored more because she would score 94%, while Austin only scored 92%
What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
33 ft 2
60.5 ft 2
65 ft 2
63 ft 2
Answers
Answer:
[tex]area = base \times height \\ = 10.5 \times 6 \\ = 63 \: {ft}^{2} [/tex]
d:
63ft
explanation:
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
Answers
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
If u know pls help me I have no clue
Answers
Answer:
7 ft3
Step-by-step explanation:
what is 3 5/15+2 2/5
PLS HELP!!
Answers
Answer:
5.73
Step-by-step explanation:
I hope that's help u
Answer:
5 11/15
Step-by-step explanation:
Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.
The rectangle is rotated 180 degrees about the orgin. What are the new coordinates of point D?
Answers
Answer:2,2
Step-by-step explanation:
Rotate and flip
Plz give me a branliest
Amy is analyzing a job offer. Amy's salary analysis, the annual salary is 48,500, the benefits are 401K matched up to 2,500/year in bonuses, the average monthly rent, 1,100 and average monthly Utility costs are 200. how much income with benefits can she expect? choose below, 43,500 48,500 56,000
Answers
Answer:
d
Step-by-step explanation:
d
Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= help (formulas) Is the differential equation 9ty+ety′=yt2+81 linear and homogeneous, linear and nonhomogeneous, or nonlinear?
Answers
Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
Simplify:
2
(
5
+
3
x
)
+
(
x
+
10
)
2(5+3x)+(x+10)
Answers
Answer:
7x + 20
Step-by-step explanation:
I dont have a explanation, but this could be right. :)
A) Angela has more than 8 cats in her studio apartment. (Too bad she's allergic.) Write an inequality that represents the number of cats in Angela's apartment.
Answers
Answer:
c > 8
where c = cats
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
Goro just bought a new television for $610.00. He made a down payment of $64.00 and will pay monthly payments of $26.00 until it is paid off. How many months will Goro be paying?
Answers
Answer:
Step-by-step explanation:
Let the total Cost = y
Let the monthly payment number = x
Let the y intercept = 64
y = 26x + 64
610 = 26x + 64 Subtract 64 from each side
-64 - 64
546 = 26x
26x = 546 Divide by 26
x = 546/26
x = 21 months
What is the value of x in the equation -6 +x= -1?
0-5
0-7
07
05
Help please
Answers
Answer:
0-5
Step-by-step explanation:
Answer: 5
I REALLY NEED HELP!
Solve the equation:
Answers
Here is my method
X=-1
no problem, lllllllllllollllllllll
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter plot below.
Distance (miles)
YA
450
400
350
300
250
200
L
150
100
50
0
0 1 2 3 4 5 6 7 8 9
Time (hours)
Based on the scatter plot, the family travels miles in the first 3.5 hours.
If you answer with a link I will report you and get your account blocked
Answers
Answer:
In the first 3.5 hours, the family travelled 175 miles.
Step-by-step explanation:
We have the table:
time (hours) distance ( miles)
0 0
1 50
2 100
3 150
4 200
5 250
6 300
7 350
8 400
9 450
This seems like a linear relationship, let's write the general line:
y = a*x + b
That represents this situation, y is the distance in miles and x is the time in hours.
In the line equation, a represents the slope and b the y-intercept.
And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)
So if we use the first two (0, 0) and (1, 50)
the slope is:
a = (50 - 0)/(1 - 0) = 50
Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:
a = (250 - 200)/(5 - 4) = 50/1 = 50
So we can conclude that the slope of the equation is a = 50
Then the equation is something like:
y = 50*x + b
To find the value of b, we can use any of the points of the line, for example (0, 0)
This means that when x = 0, y also must be 0, then:
0 = 50*0 + b
0 = b
Then the equation is:
y = 50*x
Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:
y = 50*3.5 = 175
In the first 3.5 hours, the family travelled 175 miles.
It takes 0.750.75 cups of sugar to make a batch of lemon cookies. I have 5.55.5 cups of sugar. How many batches can I make?
Answers
lmk if it’s right
ALGEBRA II HELP :/
Please show work the answer will be a 2 digit number
20 POINTS
BRAINLIEST
Use synthetic division and the Remainder Theorem to find P(a)
(like f(x) i think)
x^3+4x^2-8x-6
a= -2
Answers
Answer:
18
Step-by-step explanation:
f(x) = x³+4x²-8x-6
P(a) <=> P(x)
-2 | 1 4 -8 -6
|
| -2 -4 24
----------------------------
1 2 -12 18