Answer:
SSE = 127.3
SST= 281.2
SSR = 153.9
R² = 0.5473
% = 54.73%
r= +0.7398
Step-by-step explanation:
xi yi Y^ (Yi-Y^)² (Yi-Y`)²
2 7 7.6 + 0.9(2) (7-9.4)² (7-16.6)²
= 9.4 = 5.76 92.16
6 18 7.6 + 0.9(6) (18-13)² (18-16.6)²
= 13 =25 1.96
9 9 7.6 + 0.9(9) (9-15.7)² (18-16.6)²
= 15.7 =44.89 57.76
13 26 7.6 + 0.9(13) (26-19.3)² (18-16.6)²
= 19.3 = 44.89 88.36
20 23 7.6 + 0.9(20) (23-25.6)² (18-16.6)²
= 25.6 = 6.76 40.96
∑50 83 83 127.3 281.2
Y~= ∑yi/n= 83/5= 16.6
SSE = ∑ (Yi-Y^)² = 127.3
SST= ∑(Yi-Y`)²=281.2
SST = SSR + SSE
SSR = SST- SSE
= 281.2- 127.3= 153.9
Co -efficient of determination= R² = SSR/ SST= 153.9/ 281.2= 0.5473
The regression equation is explained by 54.73 % of the total sum of squares.
The linear correlation coefficient is the square root of the co -efficient of determination
r= ±√r²= √0.5473= +0.7398
We only consider the positive value for the linear correlation coefficient to be positive.
Tia was flying her model airplane. It took the airplane 5 seconds to go 90 feet. What was the average rate of speed of the model airplane, in feet per second?
Select one:
Answer:
18 feet per second
Step-by-step explanation:
Can someone simplify this for me and the answer I don’t know help quickly!!!
Answer:
9/10
Step-by-step explanation:
Janelle and three of her friends bought four smoothies of equal cost for a total of 3$. If she purchases the same smoothies on another day for herself and nine of her friends, how much money will she spend?
Answer:
$7.5
Step-by-step explanation:
$0.75 for each smoothie
What is that answer to that math problem ?
Answer:
1. x = 20
2. x = 5.25
3. x = 35
Step-by-step explanation:
Hope this helps!
Write a rule for the transformation of triangle RST. (x,y) --> ( , )
Answer:
A rule for the transformation of triangle RST is (7, -3)
WILL GIVE U BRAIN IF UR SMART ENOUGH TO ANSWER AND FREE 75 PTS
Answer:
x = 96
Step-by-step explanation:
Answer:
The answer is 96.
Jon goes to a flea market and sells comic books for 3 dollars each. He starts the night with 20 dollars in
his cash register. At the end of the night, he has 47 dollars in his cash register.
How many comic books did Jon sell?
Help ASAP
what is the slope of (-4,-6) (2,-4)
Answer:
m=1/3
Step-by-step explanation:
How long will it take for a car to travel a distance of 200 km if it is traveling at a velocity of 55 km/h
Answer:
About 3.63636363636 hours. I divided 200 by 55 to get that
CAN someone pls help me!!!
Answer:Im pretty sure it’s 0.7 cubic inches
Step-by-step explanation:
f(x) = –x2 – 20
Find f(9)
pls help ill mark brainliest
Answer: 1 and 2/3
Step-by-step explanation:
since 1/5 goes to 1 it is multiplied by 5
so 1/3 times 5 is 1 and 2/3
What is the percent of increase from 10 to 19?
Answer:
90 % increase
Step-by-step explanation:
To find the percent increase, take the new number minus the original number
19-10 = 9
Divide by the original number
9/10 = .9
Change to a percent
.9 * 100 % = 90 % increase
Answer:
(final - initial / initial ) * 100
19 - 10/10 * 100
9/10 * 100
90 percent
Identify each pair of angles 2 and 6
If cos u = 4/5 and tan v = - 12/5 while (3pi)/2 < u < 2pi and pi/2 < v < pi , find : sin(u-v)
Expand sin(u - v) using the angle sum formula for sine:
sin(u - v) = sin(u) cos(v) - cos(u) sin(v)
Recall the Pythagorean identity: for all x,
cos²(x) + sin²(x) = 1
Dividing both sides by cos²(x) gives
1 + tan²(x) = sec²(x)
(since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x))
With 3π/2 < u < 2π, we expect sin(u) < 0, and with π/2 < v < π, we expect cos(v) < 0 and sin(v) > 0.
Solve for sin(u) :
sin²(u) = 1 - (4/5)²
sin(u) = - √(1 - 16/25)
sin(u) = - √(9/25)
sin(u) = -3/5
Solve for sec(v) :
sec²(v) = 1 + (-12/5)²
sec(v) = - √(169/25)
sec(v) = -13/5
Take the reciprocal of both sides to solve for cos(v) :
1/sec(v) = 1 / (-13/5)
cos(v) = -5/13
Solve for sin(v) :
sin²(v) = 1 - cos²(v)
sin(v) = √(1 - (-5/13)²)
sin(v) = √(144/169)
sin(v) = 12/13
Now put everything together:
sin(u - v) = (-3/5) (-5/13) - (4/5) (12/13) = -33/65
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
8/9 divided by -5/4?
Answer:
-32/45
Step-by-step explanation:
The length of a piece of wood is 2/3 of a yard. If it is cut into 10 equal pieces, how
long will each piece be?
9514 1404 393
Answer:
2.4 inches
Step-by-step explanation:
A yard is 36 inches, so 2/3 yard is (2/3)(36) = 24 inches.
Each piece will be 1/10 of that length, so will be 24/10 = 2.4 inches.
Each piece will be 2.4 inches long.
the product of two positive numbers is 2400. one of them is six times the other. find the number.
Answer:
x multiplied by 6x is 2400. 6x^2 = 2400. x^2=400, X=20
Answer:
± 20
Step-by-step explanation:
let one number be x then the other number is 6x and the product
x × 6x = 2400 , that is
6x² = 2400 ( divide both sides by 6 )
x² = 400 ( take the square root of both sides )
x = ± 20
Thus the number is 20 or - 20
is this right or wrong?
Answer: Yes, your correct because the square root of 61 is 7.8, and that's inbetween 7 and 8
I hope this helps, and Happy Holidays! :)
Calculate the slope using the slope formula for the set of points.
Answer:
7
Step-by-step explanation:
1. 9.1-7.6 over 6.8-(-3.7)
2. 10.5 over 1.5 or 7
I can't seem to figure this out! What is the value of the 129th term in a sequence in which the 17th term has a value of 28 and the 33rd term has a value of 78?
Answer:
378Step-by-step explanation:
The nth term of an Arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
n is the numebr of terms
d is the common difference
If the 17th term has a value of 28, then
T17 = a + 16d = 28 ........ 1
If the 33rd term has a value of 78 then;
T33 = a+32d = 78 ...... 2
Solve simultaneously;
a + 16d = 28 ........ 1
a+32d = 78 ...... 2
Subtract
16d - 32d = 28-78
16d = 50
d = 50/16
d = 25/8
From 1;
a + 16d = 28
a + 16(25/8) = 28
a + 50 = 28
a = 28 - 50
a = -22
Get the 129th term
T129 = a + 128d
T129 = -22 + 128(25/8)
T129 = -22 +25(16)
T129 = -22+400
T129 = 378
Hence the 129th term is 378
Which expression is equivalent to 4x -5 ?
A= 3(2x-5)-2(x-5)
B= 3x-2-(3-x)
C= 7x+1-3(x+2)
D= 4(2x-1)-2(2x-1)
Answer:
ive tried working it out and i couldnt seem to get it but my best guess would be C OR B
Step-by-step explanation:
what's 60 twenty-fives minus 1 twenty-five
written in number from
Answer:
(60 x 25) - 25 = 1475
Step-by-step explanation:
Answer:
1375
Step-by-step explanation:
PLEASE HELP ME OUT I NEED HELP
Answer:
Angle ABC should equal 68.8 degrees.
Step-by-step explanation:
You begin by finding the angle ACB. Which is 34. This is because we are given angle ACD = 146. ACD and ACB are supplementary angles so together they would equal 180. 180-146 = 34 hence why ACB is equal to 34. Next, we need to find the values for y in order to solve for angle ABC, we can do this by using this simple equation.
(5y+3) + (4y+8) = 146.
The reason we use 146 is that the measure of all interior angles in a triangle is 180 and since we already know one of those angles is 34 then the remaining 2 angles would add up to equal 146. Continuing on, using algebra we are able to understand that solution to this equation is y = 15.2 (repeating).
Finally, to solve for angle ABC we just need to replace y with the new value we found. The equation for this is, 4(15.2) + 8 = angle ABC. Through simple algebra, we are then able to find that angle ABC must equal 68.8
What is f(3) in the graph below?*
Answer:
(3, 2)
Step-by-step explanation:
2ℓ + 2w for ℓ = 5.7 and w = 6.2
Step-by-step explanation:
2(5.7) + 2(6.2)
11.4 + 12.4
23.8
Answer:
23.8
Step-by-step explanation:
2p + 2w = 2 * 5.7 + 2 * 6.2
= 11.4 + 12.4
= 23.8
11.(07.05 LC)
How many solutions does the equation 49 + 8 = 6 + 2 + 4q have? (1 point)
0 Two
None
Infinitely many
C One
Answer:
Infinitely many
Step-by-step explanation:
Answer:
one is the right answer because on the right side6+2 =8 and the left side = 8 but the answer is 8
g divided by 9 written as an expression
Answer:
g/9 or g÷9
Step-by-step explanation:
expressions dont have equal signs. hope this helps!
Step-by-step explanation:
The required expression is given as:
[tex]g \div 9[/tex]
Question below please helppppp
Answer:
D
Step-by-step explanation:
