the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___
Answers
Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
Read more about regression equations at:
https://brainly.com/question/7656407
Related Questions
I need assistance on this question please
X-3y=24
Answers
Answer:
x = -24 + 3y
Step-by-step explanation:
Write the linear equation in slope-intercept form and simplify.
–4x + 13y = 7
Answers
[tex]\\ \sf\longmapsto -4x+13y=7[/tex]
[tex]\\ \sf\longmapsto 13y=4x+7[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{4x+7}{13}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}[/tex]
.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?
Answers
Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
__
Check
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
Find the distance between the points (
–
9.5,4.1) and (2.7,4.1).
Answers
Answer:
Step-by-step explanation:
Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]
[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]
Note that distance is always positive
been working on this for a while and can’t figure it out, can someone help?
Answers
Answer:
x = 24 4/5
Step-by-step explanation:
Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.
what triangle is formed with the angles 32 126 and 32
Answers
i just wanna make sure yall, when it says find the coordinates does mean
to find x and y?
Answers
Answer:
it means to graph the x and the y are horizontal and vertical lines that you use in graphs to graph the number or to reach it ,, hope this helps ..
Step-by-step explanation:
what number is one less than a cube number 20 22 24 26
Answers
Answer:
18
Step-by-step explanation:
:)
PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:
System A System B
3x + 2y = 3 −x − 14y = 1
−2x − 8y = −1 −2x − 8y = −1
Which of the following statements is correct about the two systems of equations?
A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.
D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Answers
Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.
Answers
v(value)=6000-0.15t(years)
Part B would be $445.50
4.$3132.03
5$2662.23
6$2262.89
7$1923.46
8$1634.94
9$1389.70
10$1181.24
11$1004.05
12$853.45
13$725.43
14$616.61
15$524.12
16$445.50
The Intelligence Test Scale in a school is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44?.
Answers
Using the normal distribution, it is found that:
a) The 65th percentile is of 37.31.
b) The 90th percentile is of 42.68.
c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 35, hence [tex]\mu = 35[/tex]The standard deviation is of 6, hence [tex]\sigma = 6[/tex]Question a:
The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 0.385(6)[/tex]
[tex]X = 37.31[/tex]
The 65th percentile is of 37.31.
Question b:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 1.28(6)[/tex]
[tex]X = 42.68[/tex]
The 90th percentile is of 42.68.
Question c:
The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:
X = 38:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{38 - 35}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 35}{6}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a p-value of 0.121.
0.6915 - 0.121 = 0.5705.
There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
Question d:
The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:
X = 44:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 35}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 35}{6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.9332 - 0.8413 = 0.0919
There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
A similar problem is given at https://brainly.com/question/24663213
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answers
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
PLEASE ANSWER QUICK
What is the domain of f?
Answers
Answer:
-7 ≤ x ≤ 7
General Formulas and Concepts:
Algebra I
Coordinate Planes
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:
[-7, 7] or -7 ≤ x ≤ 7
Answer:
A -7<=x<=7
Step-by-step explanation:
Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260
Answers
Answer:
it is the $14 pack
Step-by-step explanation:
the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.
All the assignment for 25 points
Answers
Answer:
X = 6.2m
Step-by-step explanation:
118 - 19x =
Answer:
the length would be 40
Step-by-step explanation:
step 1) multiply 19 for both short sides = 38
step 2) subtract from total perimiter = 80
step 3) 80 divided by 2 to calculate length/long side = 40
Classify the polynomial: x5 + x3
Answers
Answer:
It is a 5th-degree polynomial
Step-by-step explanation:
Looking at the expression, we can see that x⁵ is the term with the highest degree, so we call the expression a 5th-degree polynomial.
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Answers
Step-by-step explanation:
that means we divide 2/3 by 4.
2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6
so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.
Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)
Answers
Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.
Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}
Answers
Please help me, if you do not know do not answer please!
Answers
Step-by-step explanation:
Relation 1 :-
For each different inputs we don't have distinct outputs . As in 2nd and 4th . So it's not a function .
Not a function
Relation 2 :-
For same inputs we have distinct outputs . So it's not a function .
Not a Function
Relation 3 :-
For each different inputs we don't have distinct outputs . As in 2nd and 1st . So it's not a function .
Not a function
Relation 4 :-
For same inputs we do have distinct outputs . So it's not a function .
Not a Function
Factor out the GCF from the terms of the polynomial –4y^5 + 6y^3 + 8y^2 – 2y.
I know that it is either B or D but I got confused
Answers
Answer:
D
Step-by-step explanation:
Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova
Answers
Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.
if someone would me it would meaqn alott
Answers
Answer:
ration of bream to tench to carp
12: 7: 21
Step-by-step explanation:
12/40 = bream
28/40 = not bream
(28/40) x (1/4) = tench
(28/40) x (3/4) = carp
tench = (28/40) x (1/4)
= 7/40
carp = (28/40) x (3/4)
= 21/40
ration of bream to tench to carp
12: 7: 21
Answer:
12:7:21
Step-by-step explanation:
If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).
Ava bought 2 sandwiches for a total of $5.25 , a bowl of soup for $3.00, and a bag of chips for 1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
she would get 11 dollars back
Step-by-step explanation:
look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go
Ava spent $9.50 total.
$20.00 - $9.50 = $10.50
After paying with a 20 dollar bill, she would receive $10.50 in change.
WILL MARK AS BRAINLIEST
Answers
What is the value of x
Answers
Answer:
12Step-by-step explanation:
We know the hypotenuse and legs of 45° right triangle have ratio:
h ÷ l = √2 ÷ 1Substitute given values and find x:
x ÷ 6√2 = √2x = 6√2 × √2 x = 12100 points if you get this
Answers
Answer:
....
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
Answers
Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.
Answers
The lower class limit is simply the least data element that can enter a class.
The first five lower class limits are: 75 , 96, 117, 138 and 159
The given parameters are:
[tex]\mathbf{Min = 75}[/tex]
[tex]\mathbf{Max = 280}[/tex]
[tex]\mathbf{Class = 10}[/tex]
Calculate the range
[tex]\mathbf{Range = Max - Min}[/tex]
[tex]\mathbf{Range = 280 - 75}[/tex]
[tex]\mathbf{Range = 205}[/tex]
Divide by the number of classes, to determine the class width
[tex]\mathbf{n =\frac{205}{10}}[/tex]
[tex]\mathbf{n =20.5}[/tex]
Approximate
[tex]\mathbf{n =21}[/tex]
So, the lower limits are:
[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]
[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]
Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159
Read more about lower class limits at:
https://brainly.com/question/7949481
what does coplanar mean?
Answers
Answer:
Step-by-step explanation:
Co-planer
When points are in the same plane it means that the points are co-planer.
Answer:
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.