Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answers
Answer:
(B) 0.708
Step-by-step explanation:
The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.
With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:
From the relation;
n = sample size = 8
∑xy = 3347
∑x = 44
∑y = 569
∑x² = 320
∑y² = 41681
Substitute these values into the relation as follows;
[tex]r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }[/tex]
[tex]r = \frac{217.50}{307.32}\\[/tex]
r = 0.7077
r = 0.708 to 3 decimal places
Therefore, the value of the linear correlation coefficient is 0.708
Related Questions
- 1/2 (-5/6 + 1/3) simplified
Answers
-1/2(-1/2)
1/4
The Rockwell hardness index for steel is determined by pressing a diamond point into the steel and measuring the depth of penetration. For 50 specimens of an alloy of steel, the Rockwell hardness index averaged 62 with standard deviation 8. The manufacturer claims that this alloy has an average hardness index of at least 64. Is there sufficient evidence to refute the manufacturer’s claim at the 1% significance level?
Answers
You earned a 40% on your French quiz. How would you respond to "ça va?"
Answers
Answer:
D
Step-by-step explanation:
Since you have 15% off of $24.99, you should have found (on the previous Slide) that you will have to pay 85% of $24.99. Using this information, determine the cost of the shirt after applying the discount (and before taxes). After you input your answer, click 'Submit' to see if you are correct. Round to the nearest penny.
Answers
Answer: $21.24
Step-by-step explanation:
Well if you apply the discount you will have to pay 85% of the price which is already said .
So 85% of 24.99 will give you the cost of the shirt.
0.85 * 24.99 = 21.2415
TO the nearest penny will be 21.24
The Distribution of Sample Means expresses the way in which sample means taken from a population and of a given sample size are distributed around the population mean.
a. True
b. False
Answers
Answer:
a. True
Step-by-step explanation:
This is because, since the sample mean equals the population means, the distribution of the sample means about the sample size would also be the distribution of the sample size distributed about the population mean.
This usually results in a normally distributed population for a sample size greater than 30.
So, if the sample size is greater than 30, the population mean and sample mean would have the same value and distribution.
Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 2014 and 2015, respectively. a. Compute its return on equity for 2015. Round answer to one decimal place (ex: 0.2345 = 23.5%) Answer 44.8 % b. Starbucks repurchased over $1.4 billion of its common stock in 2015. Did this repurchase increase or decrease Starbucks’ ROE? ROE usually decreases since the repurchase of shares reduces the denominator (avg. stockholders' equity). ROE usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity). ROE usually increases since the repurchase of shares increases the denominator (avg. stockholders' equity). ROE usually decreases since the repurchase of shares increases the denominator (avg. stockholders' equity). c. If Starbucks had not repurchased common stock in 2015, what would ROE have been? Note: Round answer to one decimal place (example: 20.6%). Answer %
Answers
Answer:
A. 44.82%
B.
Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)
C.
Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market
Step-by-step explanation:
a. Computation for return on equity for 2015
Using this formula
Return on equity = The Net income amount /The Average stockholders' equity amount
Let plug in the formula
Return on equity=2,634.4/[(5,605+6,151)/2]
Return on equity=2,634.4/(11,756/2)
Return on equity=2,634.4/5,878
Return on equity=0.4482×100
Return on equity= 44.82%
b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)
Therefore the repurchase increase Starbucks’ Return On Equity.
c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market
I need all the help I can get! Please!
Answers
Answer:
See below.
Step-by-step explanation:
Triangle:
The area for a triangle is given by the formula:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the length of the base and h is the vertical height.
We can see that the base length is (2x+4) and the height is (x+3). So, the expression for the area would be:
[tex]\frac{1}{2}(2x+4)(x+3)[/tex]
Rectangle:
The perimeter of a rectangle is given by the formula:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We can see that the length is 2x-1 and the width is 3x+2. Thus, the perimeter is:
[tex]2(2x-1)+2(3x+2)[/tex]
For the area, the formula is:
[tex]A=lw[/tex]
So, the expression for area would be:
[tex](2x-1)(3x+2)[/tex]
Rectangular Prism:
The volume for a rectangular prism is given by the formula:
[tex]V=lwh[/tex]
The length is (x+2), the width is (x), and the height is (2x+1). Thus:
[tex]x(x+2)(2x+1)[/tex]
seven times the sum of a number and three
Answers
Answer: The answer is 7 ( x + 3 ).
Step-by-step explanation:
So we are given in word-form this equation:
seven times the sum of a number and three
We can rewrite this as:
7 times ( number + 3)
This number can be rewritten as a variable. Take any variable of your pick. I'll use x because that's one of the most used variables.
7 ( x + 3 )
There you go! Finished.
Consider the tables that represent a continuous function and its inverse. Which is an accurate comparison of the functions? -9 0 0 27 3 36 12 63 f(x) 9 х – 12 f-1(x) -13 -3 -10 0 -9 6 -7 9 -6 ✓ The reciprocal of the slope of f(x) is the same as the slope of f1(x). The negative reciprocal of the slope of f(x) is the same as the slope of f'(x). The y-coordinate of the y-intercept of f(x) is the same as the y-coordinate of the y-intercept of f'(x). The opposite of the y-coordinate of the y-intercept of f(x) is the same as the x-coordinate of the x-intercept of f'(x). Submitted
Answers
Answer:
the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x)
Step-by-step explanation:
To find the equation of a line given two points, we use the formula:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
The standard equation of a line is given by:
y = mx + c; where m is the slope of the line and c is the intercept on the y axis
For the function f(x), we have to select two points, let us select (-6, 9) and (0, 27)
Hence the equation of the line f(x) is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-9=\frac{27-9}{0-(-6)}(x-(-6))\\ \\y-9=\frac{18}{6} (x+6)\\\\y-9=3(x+6)\\\\y-9=3x+18\\\\y=3x+18+9\\\\y=3x+27\\[/tex]
Comparing y = 3x + 27 with y = mx + c, we can see that the slope (m) = 3 and the y intercept is 27
For the inverse function f⁻¹(x), let us use the points (-3, -10) and (0, 9)
Hence the equation of the line f⁻¹((x) is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-10)=\frac{-9-(-10)}{0-(-3)}(x-(-3))\\ \\y+10=\frac{1}{3} (x+3)\\\\y+10=\frac{1}{3}x+1\\\\y=\frac{1}{3}x+1-10\\\\y=\frac{1}{3}x-9\\[/tex]
To find the x intercept put y = 0
0 = (1/3)x - 9
(1/3)x = 9
x = 27
Comparing y = (1/3)x - 9 with y = mx + c, we can see that the slope (m) = 1/3 and the y intercept is -9
Hence, the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x) (i.e reciprocal of 3 = 1/3)
Answer: A
The reciprocal of the slope of f(x) is the same as the slope of f–1(x).
Step-by-step explanation:
What is the inverse of the function f(x) = 2x + 1?
Answers
Answer
f(x)-1 =
x/2 - 1/2
Answer:
Step-by-step explanation:
1. Rewrite the given function as y = 2x + 1.
2. Interchange x and y: x = 2y + 1
3. Solve this result for y: 2y = x - 1, or y = (1/2)(x - 1)
This last result is the desired inverse function.
help will give brainliest
Answers
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
So the "back" of the arrow is on/above -20.
The arrow points to -12.
You added something to -20 to get to -12.
So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.
So the equation from what you have so far is -20 + ? = -12
You need to isolate the ? so that you know what it is.
So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.
Now the equation is ? = 8.
So you know that the second number is 8.
The equation makes sense; -20 + 8 = -12.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
You invested $19,000 in two accounts paying 4% and 8% annual interest, respectively.
If the total interest earned for the year was $1160, how much was invested at each rate?
The amount invested at 4% is $.
Answers
Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as : [tex]I= P * R *t[/tex]
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
Evaluate k + np2
if k = 0.5, n = –3, and p = –2.
Answers
Answer:
12.5
Step-by-step explanation:
0.5+(-3)×(-2)×2
=0.5+12
=12.5
Value of equation, k + np² is -11.5
Given that;Value of equation = k + np²
And
k = 0.5
n = -3
p = -2
Find:Value of equation
Computation:Value of equation = k + np²
And
k = 0.5
n = -3
p = -2
So,⇒ k + np²
⇒ 0.5 + (-3)(-2)²
⇒ 0.5 + (-3)(4)
⇒ 0.5 - 12
⇒ -11.5
Value of equation, k + np² is -11.5
Learn more:https://brainly.com/question/14431182?referrer=searchResults
6p^{2}-(3p^{2}+2q)p=1,q=5
Answers
Answer: 24p ² r + 20 a s - 5 ar / ar
Step-by-step explanation:
Hi! I really need help with this question and please help me if u can. I'll mark you as BRAINLIEST.
Answers
Answer: The answer is 148 square feet.
Step-by-step explanation:
So if we are given the information to the area of the composite figure, we just first have to find the area of the smaller shapes and then add them all together to achieve the total.
1. The larger rectangle is a 10 by 14 rectangle.
2. The smaller rectangle is a 1 by 8 rectangle.
How did I get around to 8 feet?
Subtract 3 and 3 from 14, and you'll get 8 for the side.
Now just find the areas of each of the rectangles:
1. 10 times 14 = 140
2. 1 times 8 = 8
Now add them together:
140 + 8 = 148
The answer is 148 square feet.
Cole is making decorated jellybean bags for a party. Each bag contains 5 pounds of jellybeans. If Cole has purchased 1,000 pounds of jellybeans, then how many party bags can make?
А. 833 party bags
B. 166 party bags
C. 1,200 party bags
D. 6.000 party bags
Answers
Answer:
The correct answer would be 200, but in your case 166 is the closest
Step-by-step explanation:
divide 1000 by 5
The total number of bags needed are 200 bags.
We have Cole who has purchased 1,000 pounds of jellybeans. Each bag contains 5 pounds of jellybeans.
We have to determine how many party bags can make 1,000 pounds of jellybeans.
If you need a total of 'x' number of toffees and each packet contains 'y' toffees, then how many packets will be needed?The total number of packets(n) required will be -
[tex]$n=\frac{x}{y}[/tex]
According to the question, we have -
Amount of jelly beans in a bag - 5 pounds.
Amount of jelly beans needed - 1000 pounds.
Assume that the number of bags needed are n. Then -
n = [tex]\frac{1000}{5}[/tex] = 200 Bags.
Hence, The total number of bags needed are 200 bags.
To solve more questions on Quantity estimation, visit the link below-
https://brainly.com/question/22407520
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Heather earns $8.00 per hour for walking a dog. How many hours must she work to earn $188.00?
Answers
Answer:
23.5
Step-by-step explanation:
Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn’t won’t more than 20 bags list the possible ways she can fill the bag
Answers
Answer:
[tex]1.073\times 10^{19}\ \text{ways}[/tex]
Step-by-step explanation:
It is given that,
Total no of candy are 84
She want to divide the candy up evenly and place into bags but doesn’t won’t more than 20 bags.
We need to find the possible ways she can fill the bag. It mean that this problem is based on the concept of combination.
[tex]^{84}C_{20}=\dfrac{84!}{20!(84-20)!}\\\\=\dfrac{84!}{20!64!}\\\\=1.073\times 10^\\{19}[/tex]
There are [tex]1.073\times 10^{19}\ \text{ways}[/tex].
using any
combination of quarters, dimes, nickles,
pennies how many way
can you make
50 cents?
Answers
Answer:
49
Step-by-step explanation:
2 quarters
1 quarter, 2 dimes, 1 nickel
1 quarter, 1 dime, 3 nickels
1 quarter, 5 nickels
5 dimes
4 dimes, 2 nickels
3 dimes, 4 nickels
2 dimes, 6 nickels
1 dime, 8 nickels
10 nickels
10 ways without pennies. Pennies can be substituted for any quarter, dime, or nickel, so ...
8 ways to have 5 pennies
7 ways to have 10 pennies
6 ways to have 15 pennies
5 ways to have 20 pennies
4 ways to have 25 pennies
3 ways to have 30 pennies
2 ways to have 35 pennies
2 ways to have 40 pennies
1 way to have 45 pennies
1 way to have 50 pennies
For an additional 39 ways with pennies.
There are a total of 10 +39 = 49 ways to make change for 50¢.
28 1/2% covert the percent to a decimal
Answers
Answer:
0.285
Step-by-step explanation:
To do this, divide 28 1/2% by 100%, obtaining:
28.5%
---------- = 0.285
100%
What is the measure of x? 37° 67° 97° 107°
Answers
Answer:
97°
Step-by-step explanation:
The angles of any quadrilateral will add up to 360°. Since we already know 3 out of the 4 angles (the bottom two are both 90°), we can easily find the measure of x.
[tex]90 + 90 + 83 +x = 360[/tex]
[tex]263 + x = 360\\\\x = 97[/tex]
Hope this helped!
Answer:
Value of x = 97 degrees
Step-by-step explanation:
In the given quadrilateral
One angle = 83
2 other angles = 90 degrees each
Sum of all the four angles in a quadrilateral = 360 (Angle Sum Property of quadrilaterals)
=>90+90+x+83= 360
=>180+83+x = 360
=> 263+x= 360
=>x= 360-263
=>x=97
Inverse of g(x)=-x^5-3
Answers
Answer:
[tex] {g}^{ - 1} (x) = \sqrt[5]{ - x - 3} [/tex]Step-by-step explanation:
[tex]g(x) = - {x}^{5} - 3[/tex]To find the inverse of g(x) equate g(x) to y
That's
[tex]y = - {x}^{5} - 3[/tex]Next interchange the terms
x becomes y and y becomes x
We have
[tex]x = - {y}^{5} - 3[/tex]Next make y the subject
Multiply both sides by - 1
That's
[tex] {y}^{5} + 3 = - x[/tex]Send 3 to the right side of the equation
That's
[tex] {y}^{5} = - x - 3[/tex]
Find the 5th root of both sides
That's
[tex] \sqrt[5]{ {y}^{5} } = \sqrt[5]{ - x - 3} \\ y = \sqrt[5]{ - x - 3} [/tex]We have the final answer as
[tex] {g}^{ - 1} (x) = \sqrt[5]{ - x - 3} [/tex]Hope this helps you
Write an equation to find the missing angle in the triangle. Remember all the angles of a triangle add up to 180 degrees. The full question is in the picture.
Answers
Because the other angle is a right angle which is always 90. So, if you take the sum of the numbers you have and subtract that from 180 (because all triangles equal 180) you will get the missing angle.
AY
Which best describes the association of this
scatterplot?
linear, weak
O linear, strong
O nonlinear, weak
O nonlinear, strong
Answers
A.) linear,weak
just got it right on edge 2020
The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.
What is a scatter plot?Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.
In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are created to plot data points on both horizontal and vertical axis.
A set of dots plotted on an azimuth and elevation axis is known as a scatter plot. Given that they can demonstrate the degree of connection, if any, in between values of measured quantities or events, scatter plots are crucial in statisticians (called variables).
The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.
More about the scatter plot link is given below.
https://brainly.com/question/13984412
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If x=2y=3z then x:y:z equals what?
Answers
Answer: x=6 y=3 z=2
Step-by-step explanation: The question is very vast so im guessing that its just finding 3 whole numbers that can equal the same ammount being multipied by 2 and 3. I chose 6. But theres many others. The answer should be correct because if we replace the letters with the numbers i put in the answer it should look like this: 6=2•3=3•2
When we do simplify this we should get 6=6=6 which is true.
Again you can use different numbers for example 12 as X. Then you need to divide 12 by whats behind the Y. So 12÷2 is 6. So Y is equal to 6. To find Z all you need to do is follow the same steps as Y. Find the number behind Z (3) and divide that into 12. So it would be 12÷3. And if you do the math right it should look like this: X=12, Y=6, Z= 4. And when you imput the numbers to thier corresponding letter it should look like this 12=2(6)=3(4) which simplified looks like 12=12=12 which is true.
What number is 1/10 of 10?
Answers
Answer:
Hey there!
1/10 of 10 is 1.
Your answer is 1.
Hope this helps :)
Answer:
1
Step-by-step explanation:
Simplify the following:
10/10
Hint: | Divide 10 by 10.
10/10 = (10×1)/10 = 1:
Answer: 1
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Answers
Answer:
150
Step-by-step explanation:
Multiply 3 x 5 x 10
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______ A) 10.34 B) 4.61 C) 7.71 D) 8.01
Answers
Complete Question
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______
A) 10.34
B) 4.61
C) 7.71
D) 8.01
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The [tex]R^2_{unrestricted } = 0.4366[/tex]
The [tex]R^2_{restricted } = 0.4149[/tex]
The number of observation is n= 420
Generally the number of independent variables is k([tex]R^2_{unrestricted } , \ n \ \ and \ R^2_{restricted }[/tex]) = 3
Then the number of restriction is (i.e [tex]R^2_{unrestricted } \ and \ R^2_{restricted }[/tex]) is q = 2
Generally the F-statistics is mathematically represented as
[tex]F = \frac{\frac{R^2_{unrestricted } - R^2_{restricted}}{q} }{ \frac{(1- R^2_{unrestricted }) }{n-k-1} }[/tex]
substituting values
[tex]F = \frac{\frac{0.4366 -0.4149}{2} }{ \frac{(1-0.4366) }{420-3-1} }[/tex]
[tex]F = 8.01[/tex]
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Answers
Answer:
A
Step-by-step explanation:
12x-8/4 divide
12x/4 = 3x
-8/4 = -2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3x - 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{12x - 8}{4} }[/tex]
Factor out 4 from the expression
⇒[tex] \sf{ \frac{4(3x - 2)}{4} }[/tex]
Reduce the fraction with 4
⇒[tex] \sf{3x - 2}[/tex]
Hope I helped!
Best regards! :D
Terrence is selling tulip bulbs for $0.35 per bulb and daffodil bulbs for $0.64 per bulb. He makes a 40% profit on the sales of tulip bulbs and a 45% profit on the sales of daffodil bulbs. He is trying to determine the number of tulip bulbs, x, and the number of daffodil bulbs, y, he will need to sell m a week to earn a profit of $1,200 for the week. Which of the following equations can Terrence use to make this determination?
a) 0.35x +0.64y=1200(0.40+0.45)
b) (0.40+0.45)(0.35x+0.64y)=1200
c) (0.40)(0.35)x + (0.45)(0.64)y = 1200
d) (0.35+0.64)(x+y) = 1200(0.40+0.45)
Answers
Answer:
c) (0.40)(0.35)x + (0.45)(0.64)y = 1200
Step-by-step explanation:
Profit on each tulip bulb is:
$0.35 + 40% = $0.35*0.40Profit on x amount of tulip bulbs:
(0.35)*(0.40)xSimilarly, profit on y amount of daffodil bulbs is:
(0.45)(0.64)ySince the target is $1200, the required equation is:
(0.40)(0.35)x + (0.45)(0.64)y = 1200Correct answer option is C)