The equation for the residual plot for the best fit line for the given data is y = 0.4940x + 34.4323 (rounded to 4 decimal places).
To fit a straight line to the given data points (x, y), we can use a method called linear regression. Linear regression finds the best-fitting line that minimizes the vertical distance between the line and the data points.
Let's calculate the slope and y-intercept of the line using the given data
Step 1: Calculate the means of x and y.
mean(x) = (71 + 68 + 73 + 69 + 67 + 65 + 66 + 67) / 8 = 68.25
mean(y) = (69 + 72 + 70 + 68 + 67 + 68 + 64) / 7 = 68.4286 (rounded to 4 decimal places)
Step 2: Calculate the differences from the means.
differences(x) = [71 - 68.25, 68 - 68.25, 73 - 68.25, 69 - 68.25, 67 - 68.25, 65 - 68.25, 66 - 68.25, 67 - 68.25]
differences(y) = [69 - 68.4286, 72 - 68.4286, 70 - 68.4286, 68 - 68.4286, 67 - 68.4286, 68 - 68.4286, 64 - 68.4286]
Step 3: Calculate the sum of the products of the differences.
sum_diff(xy) = sum(differences(x) [i] × differences(y)[i] for i in range(len(differences(x))))
Step 4: Calculate the sum of the squared differences of x.
sum_diff(x)_squared = sum((x - mean(x)) × 2 for x in [71, 68, 73, 69, 67, 65, 66, 67])
Step 5: Calculate the slope.
slope = sum_diff(xy) / sum_diff(x)_squared
Step 6: Calculate the y-intercept.
y = mean(y) - (slope × mean(x))
Now we can substitute the values we calculated into the equation y = mx + b, where m is the slope and b is the y-intercept.
The fitted line for the given data is
y = 0.4940x + 34.4323 (rounded to 4 decimal places)
To know more about residual plot here
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-- The given question is incomplete, the complete question is
"Fit a straight line for the following data x=71,68,73,69,67,65,66,67 and y=69,72,70,68,67,68,64" --
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
if two sides of a triangle measurement 8cm 12cm what is the range of the third side
find the value of X
Answer:
x = 50.6 cm
Step-by-step explanation:
ΔMAB ≈ ΔNMP
set up a proportion: MA / MN = MB / MP
MA = 46.2 - 14
MA = 32.2
32.2 / 46.2 = x / 72.6
cross-multiply:
46.2x = 2337.72
x = 50.6
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
Which expression is equivalent to 9u+5u?
14, I think its 14. let me know if I'm right
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP!!!!! PLZZZ
The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13
The two lines can be anything as long as they give this solution
For example, if you wrote x + y = 16 (you know their values already)
Then write another y - x = 10
From here you have your equations, turn them into the f(x) form.
x + y = 16 can be turned into y = 16 - x which is f(x)=16-x
y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
plz help asap!!
which statement is not true about the data shown by the box plot below ?
Answer:
B
Step-by-step explanation:
the range is about 45
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
What’s the answer to this question?
x² =
12
16
48
Use 50° as the reference angle to find the value Opposite: 50° Adjacent: Hypotenuse 7 12 90° 40° 9 Tt o
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm
Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
What is the sum? Question 1 of 60
Answer:
A
Step-by-step explanation:
2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5
Answer:
2 1/8 + 3 7/8 = 6
A. 6
Step-by-step explanation:
2 + 3 = 5
1/8 + 7/8 = 8/8
8/8 = 1 whole
5 + 1 = 6
HOPE THIS HELPS!!!!!
The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE
Answer:
K is the independent value.
Step-by-step explanation:
For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.
(The X axis is always independent, and the Y axis is always dependent.)
If you want me to do the "Complete the sentence", please tell me the options in the comments.
Answer:
t is the independantt variable and K is the dependant variable...
Smaller? Or less than...
I dont know..
Step-by-step explanation:
hope I helped.. can I have brainliest please? hee hee