Answer:
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Step-by-step explanation:
Using stat calculator:
Part A:
x1 x2 y Predicted Y Residual
13 11 62.8739 60.693967 2.179933
15 11 76.1328 74.751867 1.380933
13 13 87.4667 86.085767 1.380933
15 13 102.3236 100.143667 2.179933
14 12 76.1872 80.418817 -4.231617
14 12 77.5287 80.418817 -2.890117
mean
14 12 80.418817 80.418817 0
standard deviation
0.89 0.89 13.2812 12.979739 2.813451
Calculation
Sum of X1 = 84
Sum of X2 = 72
Sum of Y = 482.5129
Mean X1 = 14
Mean X2 = 12
Mean Y = 80.4188
Sum of squares (SSX1) = 4
Sum of squares (SSX2) = 4
Sum of products (SPX1Y) = 28.1158
Sum of products (SPX2Y) = 50.7836
Sum of products (SPX1X2) = 0
Regression Equation = ŷ = b1X1 + b2X2 + a
b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895
b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959
a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
X1-Mx1 X2-Mx2 Y-My (X1-Mx1)² (X2-Mx2)²
-1 -1 -17.545 1 1
1 -1 -4.286 1 1
-1 1 7.048 1 1
1 1 21.905 1 1
0 0 -4.232 0 0
0 0 -2.89 0 0
SSX1: 4 SSX2: 4
SPx1y SPx2y SPx1x2
17.545 17.545 1
-4.286 4.286 -1
-7.048 7.048 - 1
21.905 21.905 1
0 0 0
0 0 0
SPX1Y: SPX2Y: SPX1X2: =0
= 28.116 =50.784
Part B
Coefficient Table
Coefficient SE t- stat
x1 -170.337283 33.519576 -5.081725
x2 7.028950 1.816075 3.870408
b 12.695900 1.816075 6.990847
Part C:
Test for significance of β1 and β2.
State the null and alternate hypotheses as
H0: β1=β2=0
Ha: At least one of the β1 and β2 is non zero.
The significance level is set at ∝= 0.05
The test statistic to use is
F= MSR/ MSE= MS regression/ MS Residual
which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3 degrees of freedom.
To set up the ANOVA table we find the necessary sum of squares .
Regression SS ( between y^ and y`) = SSR= 842.368060
Residual SS ( between yi and y^) = SSE= 39.577526
Total SS = SSR+ SSE= 842.368060+39.577526= 881.945586
ANOVA table
Source DF Sum of Square Mean Square F Statistic
Regression
(b/w ŷi and yi) 2 842.368060 421.184030 31.926000
Residual
(b/w yi and ŷi) 3 39.577526 13.192509
Total (b/w yi and yi)5 881.945586 176.389117
The critical region is F≥F (0.05) (2,3)=9.55
Conclusion:
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally
there were 6 people and the cost per person was $34. If the number of people changed to 12, what would be
the new cost per person?
The value of a car that depreciates over time can be modeled by the function
M(t) = 18000(0.8)^3t. Write an equivalent function of the form M(t) = ab^t.
Answer:
t=0
Step-by-step explanation:
What is got was 0
Shaun bought a new Nissan Versa from Planet Nissan for $11.199. How much was his sales tax if the
tax rate is 8.25%
Answer:
923.92
Step-by-step explanation:
11,199 x .0825 = 923.92
please help me !!!!!!
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
Which measure of center is most appropriate, and what
is the value of the measure of center?
As a quality inspector for an automobile manufacturer,
you record the gap between adjacent side panels on
several cars as follows: 6,7, 6:1, 6:2, 6.7, 6.5, 6.4, 6.3,
and 6.1 millimeters. The standard deviation of these data
is 0.23, and the range is 0.6.
mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7
Answer:
The mean is 6.41428571429
Step-by-step explanation:
So C would be the answer
what is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
= [tex]\frac{x_1+x_2}{2}[/tex]
= [tex]\frac{-1+6}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= [tex]2.5[/tex]
The midpoint on Y-axis is:
= [tex]\frac{y_1+y_2}{2}[/tex]
= [tex]\frac{5+(-3)}{2}[/tex]
= [tex]\frac{5-3}{2}[/tex]
= [tex]\frac{2}{2}[/tex]
= [tex]1[/tex]
Thus the midpoint of AB is "2.5, 1".
Hannah Borjas
What is the perimeter of the rectangle?
TH
65 feet
55 feet
A 240 feet
B 130 feet
с
3,575 feet
D
120 feet
i need help please giving brainlest which statement accurately describes the scatter plot
Answer:
I think it's B. but I'm not too sure. sorry if I'm wrong
135°
Solve for «2.
62 = [?]
45°
142
86°
Enter
Answer:
look at the picture i have sent
Answer:
Answer:
Solution given:
135=<2+86
<2=135°-86=49°[ exterior angle is equal to the sum of the opposite Interior angle of a triangle]
Which number makes the following number sentence true 3+6=6+
Answer:
3
Step-by-step explanation:
Answer:
3 + 6 = 6 + 3
Step-by-step explanation:
3 + 6 = 6 + y
9 = 6 + y
y + 6 = 9
y + 6 - 6 = 9 - 6
y = 3
Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86
Answer: 87
Step-by-step explanation:
This will be solved using an arithmetic progression. The formula will be:
= a + (n - 1)d
where,
a = first term = 10
d = common difference = 7
n = 12
Therefore, 12 term will be:
= a + (n - 1)d
= 10 + (12 - 1) × 7
= 10 + (11 × 7)
= 10 + 77
= 87
Therefore, the number of stitches that are in the 12th row will be 87.
PLZ HELP FIRST RIGHT GETS BRAINLEST
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
Answer:
[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,
[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]
Simplify,
[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]
[tex]\frac{9}{78}[/tex]
BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?
What is p(3) and p(3) when spinning the spinner shown at the right twice (fraction) ?
Answer:
1/49
Step-by-step explanation:
There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49
9. Given a circle with a radius of 6, determine its sector area with an angle measure of 120°.
Answer:
2160 square units
Step-by-step explanation:
Given data
Radius= 6 units
Angle= 120°
Area of the sector is given as
Area of sector= r^2* ∅/2
Area of sector= 6^2*120/2
Area of sector= 36*60
Area of sector= 2160 square units
Find the volume of a pyramid with a square base, where the perimeter of the base is
19.9 in and the height of the pyramid is 14.3 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
How do I get the answer
Answer:
-9Step-by-step explanation:
[tex] - |3a + \sqrt{b} | [/tex]
By putting the values of a = -4 , b = 9,
[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]
[tex] = - | - 12 + 3| [/tex]
[tex] = - | - 9| [/tex]
= -(9)
= -9 (Ans)
Match the equation below with the following graph.
In the "magic square" at the right, the four numbers
in each column, in each row, and in each of the two
diagonals, have the same sum. What value should N
have?
URGENT PLEASE HELP DUE ON THURSDAY 5/27/2021
Answer:
15
Step-by-step explanation:
Quiz
Active
2.
Which net can be folded to form a pyramid?
Answer:
Where are the options?
The universal set is the set of rational numbers. S is the set of integers.
Which represents SC?
{x|x is a real number}
{x|x is a rational number}
{x|x is a rational positive number}
{x|x is a rational non-integer}
Answer:
It's D on EDGE
Step-by-step explanation:
The compliment of the set S is {x|x is a rational non-integer}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the universal set be represented as U
where the value of U is
U = {x|x is a rational numbers}
And , let the second set be represented as S,
where S = {x|x is an integer}
Now , the compliment of set S is given by = S'
And , S' = 1 - S
On simplifying , we get
S' = 1 - {x|x is an integer} and it belongs to U
So , S' = {x|x is a rational non-integer}
Hence , the set is S' = {x|x is a rational non-integer}
To learn more about union and intersection of sets click :
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find the value of X and please show your work.
Answer:
x= -22
Step-by-step explanation:
3x=5x+44
subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44
then you get
x=3x+44
then you subtract the 3x to both sides
x(-3x)=3x(-3x)+44
then you get
-2x=44
and divide 2 on each side so-
x= -22
What is the weight (in grams) of a liquid that exactly fills a 465.0 milliliter container if the density of the liquid is 0.982 grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Answer:456.63
Step-by-step explanation:
The weight (in grams) of a liquid is 456.63 grams.
What is weight?Weight is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.
V = Volume of liquid = 182.8 milliliter
[tex]\rho[/tex] = Density of liquid = 0.135 grams over milliliter
We know that,'
mass= volume x density
= 465 x 0.982
= 456.63 grams
Learn more about weight here:
https://brainly.com/question/21965445
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Constant of Variation
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided.
Answer:
B. f and g are reflections of each other about the y-axis.
Step-by-step explanation:
I calculated it logically
A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
eric has 20 toy trains. Tommy has 3 times as many. How many toy trains does tommy have?
Answer:
20 times 3, do the math and you get
Answer:
60
Step-by-step explanation:
20x3=60 ............
Please help fast..........
Answer:
Where's the picture?
Find the quotient: 5 1/7 ÷ 3
Answer:
12 /7
Step-by-step explanation:
theres no quotient
Answer:
The answer is: (12/7) OR (1 5/7) <-- (SIMPLIFIED)
Step-by-step explanation:
First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would simplify the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12) and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)
~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~
How many millimeters are in 3.4 liters?
Answer:
3400 milliliters
Step-by-step explanation:
Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help
Answer:
(-1, -4) is a solution
Step-by-step explanation:
3x + 3y ≤ -6
plug in point (-1, -4)
3(-1) + 3(-4) ≤ -6
-3 + -12 ≤ -6
-15 ≤ -6 true
(-1, -4) is a solution