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
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answers
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
At oceanside middle school 110 students tried out for the football team only 80% of the students that tryout make the team how many players are on the team
Answers
Step-by-step explanation:
answer is 22 students in the team
how do u get it?
you know it is 80% of the students went for try out so you do 100% - 80% give you 20% students the number of students in the team already. so you do 20 / 100 x 110 students which already in the whole school over 1 which would give it 22
7 times a certain number is decreased by 8 and the result is equals to 20
Answers
Answer:
let x represent the number
7x-8=20
7x=20+8
7x=28
x=28/7
x=4
this is the correct answer
Answer:
7x-8=20 or x=4
Step-by-step explanation:
Let's say the certain number is x
7x-8=20
Add 8 on both sides:
7x-8+8=20+8
Simplify:
7x=28
Divide 7 on both sides:
[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]
Simplify:
x=4
Sum of 2 fifths of x and 6x and 6 in algebraic expression
Answers
Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6
Answer:
(14x+12)/5
Step-by-step explanation:
2 fifth of x = 2/5 * x= 2x/5
2 fifth of 6x = 2/5 * 6x = 12x/5
2 fifth of 6 = 2/5 * 6 = 12/5
2x/5 + 12x/5 + 12/5
= (2x+12x+12)/5
= (14x+12)/5
complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates
Answers
Answer:
[tex]y=(x-3)^2-7[/tex]
Minimum
(-3,-7)
Step-by-step explanation:
[tex]y=x^2 -6x+2[/tex]
[tex]b=-6[/tex]
[tex]\frac{b}{2} =(-3)^2=9[/tex]
[tex]y+7=x^2-6x+9[/tex]
[tex]y=(x-3)^2-7[/tex]
-7 is a minimum.
6,2, 2/3 Find the 8th term
Answers
Answer:
2/729
Step-by-step explanation:
2/3÷3 = 2/9
2/9÷3=2/27
2/27÷3=2/81
2/81÷3=2/243
2/243÷3=2/729
Choose the inequality that represents the following graph.
Answers
........
the answer is C since it needs to be lees than or -2
please help me, i need it right now !!
Answers
Answer:
Is it 63
Step-by-step explanation:
Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3
Answers
Answer:
69
Step-by-step explanation:
69
I believe it is C. But if I’m wrong let me know :)
(No link pls <3)
Answers
I also think- Because you're drawing on the same marble without replacing it.
What is the solution to 1/2|x|=-3?
A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist
Answers
Answer:
The answer is D: No solutions exist
pls help me solve this question
Answers
Answer:
1 . x 3 + 3 x 2 y + 3 x y 2 + y 3
2. x 3 - 3 x 2 y + 3 x y 2 - y 3
3. a + b
4 . a - b
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Enter the range of values for x:
B
15
2x - 10
С
48°
A
18
[?]
Enter
Answers
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
To solve the problem "56 is what percent of 70?", Noah uses the double number line below. On the double number line, write the correct numbers at each unlabeled tick mark. Then solve the problem. Explain your answer
Answers
Answer:
80%
Step-by-step explanation:
I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...
56 / 70 = 0.8
0.8 * 100 = 80%
What is the length of the hypotenuse of the triangle when x=11?
Answers
Answer:
hypotenuse = 93.06
Step-by-step explanation:
[tex]x = 11\\\\base = 4 \times 11 = 44\\\\height = 7x + 5 = 7 \times 11 + 5 = 77 + 5 = 82\\\\hypotenuse ^2 = base^2 + height^2\\[/tex]
[tex]=44^2 + 82^2\\\\=8660[/tex]
[tex]\\\\hypotenuse=93.06[/tex]
HELP ME OUT PLEASEEEEEEEEEEEe
Answers
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answers
Answer:
Need a picture so someone can answer.
Answer:
Step-by-step explanation:
Sorry but i can not help you without a picture being present
Which equation represents a car that gets more miles per gallon of gas than Mitch's car?
Helppppp!!! Plsss
Answers
(( THIS GIVES 50 POINTS )) PLEASE HELP ASAP
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?
Answers
Answer:
a) 1000,21000 are the break even number of cars
b) the maximum profit is 200 at 11000 cars
Step-by-step explanation:
P = –2x^2 + 44x – 42
To break even, P =0
0 = –2x^2 + 44x – 42
Factor
0 = -2( x^2 -22x+21)
0 = -2 ( x-21)(x-1)
Using the zero product property
0 = x-21 0 = x-1
x=21 x=1
Remember that x is the number of cars in thousands
When the profit is maximum is at the vertex
The vertex is 1/2 way between the two zeros
(1+21)/2 = 22/2 = 11
11 cars sold
The maximum profit is
P(11) = –2(11)^2 + 44(11) – 42=--242+484-42=200
The maximum profit is 200
solve 3x-y=7 for x if weird answer will report
Answers
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify
PLZ HELPPPPPP!!!!!!!!!
Answers
Answer:
the answer is B
Step-by-step explanation:
I GOT A 92 ON MY MATH EXAM AND I DIDN'T STUDY LETS GOOO
btw, I need help on this
if x • y = y, what are the only 2 numbers x can be?
Answers
Answer:
???
Step-by-step explanation:
x*y=y
Well, since y is on both ends of the equation, y could be 0, because anything multiplied by 0 is 0.
So x could be anything.
---
hope it helps
pleaseeee helpppppppp its due now
Answers
Answer:
find AC and BC then check multiply their slopes
What is the answer ?
Answers
Answer:
A. AB≈ DE
is the answer to this question
pleaseee help me! :(
Answers
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
144°the value of x=144/2( inscribed angle is half of its arc)
72°stay safe healthy and happy....What is the mean of this set of numbers?
3, 7, 0, 3, 4, 0, 9, 1
Answers
Answer:
3.375 or 3.38 if rounded to the hundredths place.
Step-by-step explanation:
To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.
3+7+0+3+4+0+9+1= 27
Amount of numbers: 8
We divide 27 by 8.
27 ÷ 8= 3.375
3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.
Find one value of xxx that is a solution to the equation:
(2x+3)^2-6x-9=0(2x+3)
2
−6x−9=0left parenthesis, 2, x, plus, 3, right parenthesis, squared, minus, 6, x, minus, 9, equals, 0
x=x=x, equals
Answers
Answer:
-3/2
Step-by-step explanation:
Given the funtion
(2x+3)² - 6x+9 = 0
(2x+3)² = 6x + 9
Expand
4x²+12x+9 = 6x + 9
4x²+12x - 6x = 0
4x²+6x = 0
4x² = -6x
4x = -6
x = -6/4
x = -3/2
Hence the value of x is -3/2
what is 5¹? and just what does ¹ mean? like whats the formula for the equation?
Answers
Answer:the answer is 5 it means you mutiply five that many times
Step-by-step explanation:
Answer:
5¹=5
5¹ means that you multiply 5 by itself 1 times
Dynamics can be written anywhere in band music.
True or False
Answers
what is
√117^2
Please help schools almost over and i need major help
Answers
Answer:
117
Step-by-step explanation:
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
please mark me as brainlest