Which equation of the least squares regression line most closely matches the data set?
yˆ=−0.31x+37.3
yˆ=−0.09x+11.5
yˆ=−10.1x+118.8
yˆ=−2.3x+97.9
Answers
Answer:
I can confirm that the answer above is correct.
Step-by-step explanation:
Hope this helps. :D
The equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8
What is linear regression?Linear regression is a type of regression which is used to model the data having linear relationship between the variables. The regression line can be given as,
[tex]\hat y=bX+a[/tex]
The data given in the problem is,
x 2 4 6 8 10y 100 83 50 35 23Mean of x and y values,
[tex]\mu_x=\dfrac{2 +4 +6 +8 +10}{5}=6\\\mu_y=\dfrac{100 +83 +50 +35 +23}{5}=58.2[/tex]
Here, in this data points, the sum of the squares is 40 and sum of the products is -404. The value of b is,
[tex]b=\dfrac{-404}{40}\\b=-10.1[/tex]
The value of a is,
[tex]a=58.2-(10.1\times6)\\a=118.8[/tex]
Put the values in the above equation,
[tex]\hat y=-10.1X+118.8a[/tex]
Thus, the equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8
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Related Questions
2y+3=5x-18. make x the subject
Answers
[tex]x = \frac{2y + 21}{5} [/tex]
Step-by-step explanation:
1) Add 18 to both sides.
[tex]2y + 3 + 18 = 5x[/tex]
2) Simplify 2y + 3 + 18 to 2y + 21.
[tex]2y + 21 = 5x[/tex]
3) Divide both sides by 5.
[tex] \frac{2y + 21}{5} [/tex]
4) Switch sides.
[tex]x = \frac{2y + 21}{5} [/tex]
Hope it helps.
sorry if its wrong.
The equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.To make x the subject of the equation 2y + 3 = 5x - 18, we need to isolate x on one side of the equation.
Let's rearrange the equation step by step:
2y + 3 = 5x - 18
First, let's move the constant term (-18) to the other side by adding 18 to both sides:
2y + 3 + 18 = 5x
2y + 21 = 5x
Next, we can divide both sides by 5 to isolate x:
(2y + 21) / 5 = x
Therefore, the equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.
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Help????? 5 rate its due at 8:00 hehee.....
Answers
What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)
y = 5
y = −7
x = 5
x = −7
Answers
(-7,5)
-7 is a x-coordinate
5 is a y-coordinate
The answer is y = 5
The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.
Find the value of
n
.
Answers
Answer:
n = 250
Step-by-step explanation:
To express the ratio, the quantities must have the same measures
2 cm : 5 m
= 2 cm : 500 cm [ 1 m = 100 cm ]
Divide both parts by 2
= 1 : 250 → with n = 250
game item?? game name???
Answers
Answer:
It's minecraft and that item is a string from a spider's web. Please keep questions related to school.
Step-by-step explanation:
Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.
Based on the table, which bill has an experimental probability of being drawn from the bag next?
Experimental or Theoretical?
Answers
Answer:
Theoretical
Step-by-step explanation:
Alguien me podría ayudar aunque sea en la 2°
se los agradecería mucho
Answers
Answer:
photomath
Step-by-step explanation:
es una app q te ayuda en ejercicios de matemática
What is the gcf of 10m^3 +45m
Answers
Answer:
ITS 1
10 = 2 • 5
3 = 3
45 = 32 • 5
Answer:
GCF of 40 and 60
Step-by-step explanation:
Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.
find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
radius of semicircle = 5
area of semicircle = πr² = 25π
area of rectangle = 10×14 = 140
total area = 140 + 25π ≅ 218.54 square units
The cost of 25 litres of petrol is Rs.1400.Find the cost of 30 litres of petrol.
Answers
Liter. Rs
————-|————-
25 | 1400
:5( | ):5
5 | 280
x6( | )x6
30 | 1680
Hi, can someone please help me with some geometry problems?!!!
Answers
Answer:
I can!
Step-by-step explanation:
DeepSea Challenger’s descent was a change in depth of (-4) feet per second.We can use the equation y = -4x to model this relationship, where y is the depth (-35,814 ft) and x is the time in seconds that have passed. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?(round to the nearest tenth)
* Explain how you got your answer.
Answers
Answer:
Step-by-step explanation:
x = -35,814 ft ⋅ (1 sec)/(-4 ft) = 8,953.5 sec
The required model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
To find the time it takes for the DeepSea Challenger to reach the bottom, we need to find the value of x when y = -35,814 ft.
We can substitute the desired depth into the equation y = -4x:
-35,814 = -4x
35,814 = 4x
x = 35,814 / 4
x = 8953.5 seconds
So, the model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.
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Help pleaseeeeit won’t let me send it cuz it has to be longer soo...
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Indices.
After simplifying we get as,
B.) 3v^16/m^4 p^6
option B.) is totally correct.
Answer:
b0uv9uvj9c9hc9
Step-by-step explanation:
beive88eh
Solve the equation r+3 = 3(r-5)
Answers
Answer:
r-9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
brainleist?
r+3= 3r-15
3= 2r-15
18=2r
9=r
Find the area of the sector.
45 degrees
11 cm radius
Answers
Answer:
Area 47.516589 cm2 (square centimeters)
Step-by-step explanation:
There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
Answers
Answer:
still need it?..........
A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?
Answers
Answer:
14 ; 40
Step-by-step explanation:
Number of unpopped popcorn = 1600 kernels
Kernel per popped corn = 120
Number of boxes needed :
Number of unpopped / kernel per popped corn
1600 / 120
= 13.3333
Hence, number of boxes needed = 14
Number of popped kernel. In partially filled box :
1600 - (120 * 13)
1600 - 1560
= 40
The solution (x y) to a system of equatiohs is the point where they..?
Answers
Answer:
Intersect
Step-by-step explanation:
Solve for the hypotenuse in the right triangle shown.
Answers
Answer:
Square root of 34
Step-by-step explanation:
a^2 +b^2 =c^2
3^2 + 5^2 = 34
[tex]\sqrt{34}[/tex]
school lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v
Answers
Answer:
₱ 550.25
Step-by-step explanation:
₱ 35.50 * 15.5 weeks = ₱ 550.25
Which is the better deal?
6 cans of soda for $3.60
4 cans of soda for $2.36
10 cans of soda for $5.50
Answers
Answer:
The better deal is 10 cans of soda for $5.50
Step-by-step explanation:
6 cans of soda for $3.60 means each can of soda is worth .60 cents4 cans of soda for $2.36 means each can of soda is worth .59 cents 10 cans of soda for $5.50 means each can of soda is worth .55 centsTherefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.
Hope this helped!
Answer:
10 cans for $5.50
Step-by-step explanation:
3.60/6= $0.60 per can
2.36/4= $0.59 per can
5.50/10= $0.55 per can
Write with a single exponent
b. 1/10•1/10•1/10•1/10•1/10•1/10•1/10=
Answers
Answer:
1 x 10^-7
Step-by-step explanation:
Answer:
l;komjni
Step-by-step explanation:
The volume of a Soap cake is 160 cm 3 . Its length and width are 10cm and 5 cm. Find its height.
Answers
Answer:
h = 3.2 cm
Step-by-step explanation:
[tex]h=\frac{Volume}{l * w}\\\\=\frac{160}{10*5}\\\\=\frac{16}{5}\\\\[/tex]
= 3.2 cm
what is 5x-2y= -4 in slope intercept form
Answers
Answer:
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What are the coordinates of point S?
Answers
Answer:
(-2,3) or (3,-2)
Step-by-step explanation:
follow the line if that makes since
Answer: (-3,2)
Step-by-step explanation:
The point is 3 spaces left so it would be negative and 2 spaces up so positive.
Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
Answers
The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.8. Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?
Answers
Answer:
0.4
Step-by-step explanation:
hegarty maths
4 times what is closest to 26 without going over
Answers
Answer:
4*6=24 answer:6
any other number would be less or more
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 x 6 is 24 and 4 x 7 is 28. 26 is between 24 and 28, so got to 24 since that is less than 26. 4 x 6 gets you 24, so 6 is your answer.
Hope it helps!
Select the correct answer. Which equation represents the line that is parallel to y = 3 and passes through (-2,-8)? A. x = -2 B. x = 3 C. y = -8 D. y = 3x − 2
Answers
Answer:
C. -8
Step-by-step explanation:
Don't listen to ppl who say it's 3, IT'S NOT. The answer is C. y= -8, because the line has to be parallel so it will be y and D is clearly not correct, so its C.
Answer:
c=-8
Step-by-step explanation:
only answer that makes sense i just took the test
What is the measure of the indicated angle?
Answers
Answer:
76
Step-by-step explanation:
Let the indicated angle be x
all the angels add up to 180⁰
therefore,
x + 48 + 56 = 180
x + 104 = 180
x = 180 - 104
x = 76
HOPE THIS HELPS
