The residual column is given by the difference between the given values
and the values from the fitted line.
The values of a and b are; a = -0.4 and b = 0.18Reasons:
The line of best fit equation is; y = 2.55·x - 3.15
The 4-column table is presented s follows;
[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]
Required:
The values of a and b
Solution;
The residual is given by the difference between actually observed value and the predicted value
RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b
Where;
[tex]y_i[/tex] = The given value at point i
[tex]x_i[/tex]·b = The predicted value at point i
Therefore;
At x = 1, the residual = -0.7 - (-0.6) = -0.1
At x = 2, the residual = 2.3 - 1.95 = 0.35
At x = 3, the residual = a = 4.1 - 4.5 = -0.4
Therefore;
a = -0.4At x = 4, the residual = b = 7.2 - 7.02 = 0.18
Therefore;
b = 0.18Learn more about line of best fit here:
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3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.
(EXPLAIN HOW DONE)
Answer:
Step-by-step explanation:
Let R and G stand for the prices of rose bushes and geraniums, respectively.
We are told that:
Abhasra: 30R + 11G = $219
Lisa: 6R + 44G = $420
Two equations and two unknowns. Eliminate one of the variables by substitution:
Let's start with
6R + 44G = $420
and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:
6R + 44G = $420
4*(30R + 11G = $219) = 120R + 44G = 876
Now subtract this equation from the first:
6R + 44G = $420
-120R - 44G = -$876
-114R = -456
R = 4: Rose bushes are $4 each.
Now use R= $4 in either equation to find G:
6R + 44G = $420
6($4) + 44G = $420
$24 + 44G = $420
44G = $396
G = : Geraniums are $9.00 each.
at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
How to find slope intercept form without a point.
100 POINTS IF U GET THIS RIGHT!
Answer:
The Slope equals (-8/7)
What is a limit in calculation.
Answer:
I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value. Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.
Step-by-step explanation:
What is the answer?? I need help!!
NO LINKS!!!
Function
Use "vertical line test"
searched it if you don't know
Step-by-step explanation:
yes, it is a function.
every value of x has exactly one associated (result) value of y.
that several different x have the same result value y, is not a problem.
a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.
You go out to dinner with 2 friends. The bill was $35.60, and you
add 20% tip. All 3 of you share the total cost equally. How much
money did each person pay?
Answer:
$14.24
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
order the values from least to greatest
Answer:
1. minus 7 by 8
2.minus 3 by 4
3. minus 1 by 2
4. 5 by 8
5.1 by 4
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
6
9
11
16
Answer:
26.6666666667
Step-by-step explanation:
3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667
Who Is Nathan Drake?
Answer:
he's the guy from uncharted
Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answer:
5 /12
Step-by-step explanation:
Of the 345 7th graders, 40% of them
are in band. How many 7 graders
are in band?
So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138s
Yw
What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration
30.7 N
7.14 N
178.5 N
0.14 N
Answer:
178.5 N
Step-by-step explanation:
force = mass * acceleration
f = 35.7 * 5
f = 178.5
178.5 Newtons
What is four thirds -2/5
Answer:
14/15
Step-by-step explanation:
You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15
write a funny statement
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Neither
Step-by-step explanation:
Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither
What is considered an exponential monthly growth rate.
The Answer equals 1.9%
Someone please help me
Answer:
yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry
Helpppp what is Log70
Answer:
Log 70
What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).
What is log10(70) - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.
Step-by-step explanation:
log10 70
Result 1.84509804001425
check the attached file pls it might be needed for you !!
Mark brilliant
Additional questions!!! Please help, due today!!!
Answer:
A.
Step-by-step explanation:
?
Math may be hard but you gotta learn to get smarter
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
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A Create a linear expression
Answer:
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.
Answer:
Raul
Step-by-step explanation:
Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group
Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.