What is the equation of the least-squares regression line for the data set?
A) y=−1.988x+43.293
B)y=−0.879x+43.293
C)y=1.988x−43.293
D)y=−0.879x−43.293
Answer:
The answer is option A y = −1.988x + 43.293
Step-by-step explanation:
I just took the test
The equation of the least squares regression line for the data set will be;
y = -1.988x + 43.293
Option A is true.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The table of data set is shown in figure.
Now, Let hours represent by x.
And, Tickets sold represent by y.
So, By the equation;
y = -1.988x + 43.293
Substitute x = 11;
y = -1.988 × 11 + 43.293
y = - 21.868 + 43.293
y = 21.62
y = 22
And, For x = 9;
y = -1.988 × 9 + 43.293
y = -17.892 + 43.293
y = 25.4
y = 24
Thus, Equation y = -1.988x + 43.293 shows the least-squares regression line for the data set.
So, The equation of the least squares regression line for the data set will be;
y = -1.988x + 43.293
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-1/2 = m -7/4
solve for m
Answer:
[tex]\boxed {m = \frac{5}{4}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]m[/tex]:
[tex]-\frac{1}{2} = m - \frac{7}{4}[/tex]
-Switch sides:
[tex]m - \frac{7}{4} = -\frac{1}{2}[/tex]
-Add both sides by [tex]\frac{7}{4}[/tex] and the least common multiple of both [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex]. So, convert [tex]-\frac{1}{2}[/tex] to a fraction with denominator [tex]4[/tex]:
[tex]m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}[/tex]
[tex]m = -\frac{2}{4} + \frac{7}{4}[/tex]
-Since both [tex]-\frac{2}{4}[/tex] and [tex]\frac{7}{4}[/tex] have the same denominator, then you would add the numerators:
[tex]m = \frac{-2 + 7}{4}[/tex]
[tex]\boxed {m = \frac{5}{4}}[/tex]
Therefore, the value of [tex]m[/tex] is [tex]\frac{5}{4}[/tex].
The points (5,-2) and (7,r) lie on a line with slope 4. Find the missing coordinate r.
Answer:
A slope of four means that it moves up four and over 1. Since 7-5 is 2, you must half the 1. (7, 2.5)
\Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?
I = p r t
0.007
0.07
0.7
7
Answer:
0.07
Step-by-step explanation:its becuase 7% outta 100% =0.07. so I=Prt
We have to solve for r
r=r/100
7%/100
0.07 per year
Hope this helps mark as brainliest plz
Answer:
0.07
Step-by-step explanation:
give brainlest pls
The function T = 25 - sin ( – 4)) +5
+55 gives the average monthly temperature, T, in a city, where m represents the
month. In which month is the average temperature the same as in m = 3?
Om = 5
Om = 7
Om = 9
O. m = 11
Answer:
the third one ithink
Step-by-step explanation:
will mark brainles if answered quickly
Answer:
A {-3, -2, -1, 0, 1, 2, 3}
Answer:
A
Step-by-step explanation:
Rational numbers are whole numbers
In a traffic jam, it once took me 2.5 hours to drive 30 miles across Atlanta. What was my speed in miles per hour on this trip?
speed = distance ÷ time = 30 ÷ 2.5 = 12 mph
Triangle XYZ is a right triangle with the right angle at vertex Y.
Angle X must be
.
Angle Z must be
.
The sum of angles X and Z must be
90°.
The sum of angles X and Z is 90°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle XYZ.
∠Y = 90°
Now,
The sum of the three angles must be 180°.
So,
∠X + ∠Y + ∠Z = 180
∠X + ∠Z = 180 - 90
∠X + ∠Z = 90
Thus,
∠X + ∠Z = 90
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Determining Angle Relationships in Right Triangles
Acute
Acute
Equal to
Step-by-step explanation:
see picture
IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km
how much petrol would each car use to travel 830 km ?
Answer:
65l-728km
x-830km
65×830/728=53950÷728=74,107
48L-552
x-830
48×830/552=39840/552=72.173
Given the equation y = -3x + 6, the slope is
Answer:
-3 I think...
Step-by-step explanation:
y=mx+b. where m is the slope, since -3 is the value for m, it is the slope
If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour? (ik im dumb dont need to say it.)
Answer:
1 and 1/3 miles in an hour
Step-by-step explanation:
thats slow, ive walked a mile in ten minutes, lol
Custom steel products also makes staircase frames like those shown here. How would the pattern you described be shown in a table? Graph? Equation?
Answer:
Graph would be the most reasonable.
Step-by-step explanation:
Hope I helped, good luck!<3!!
Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when
x= 8.
Answer:
y = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
y = 6 when x = 18 , then
6 = 18k ( divide both sides by 18 )
k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of variation
When x = 8, then
y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]
please someone help ... ( i’ll mark brainiest , hehe :) )
You fill your car with gasoline at a service station for $2.75 per gallon. You pay with a $50 bill.
How much change will you receive if you buy g gallons of gasoline? How much change will you
receive if you buy 14 gallons?
I DONT UNDERSTAND HELLPPP
Answer:
choice answer choice f
please please help me!!
Answer:
k=1
Step-by-step explanation:
because the intercept form, y=mx plus b the y intercept changes where the graph is positioned. the line has been translated down to the y intercept 1, therefore that is what k equals
NEED HELP ASAP PLEASE
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_______________________
➜ First let's turn each number into a decimal:
[tex]14\frac{2}{5}=14.4[/tex] [tex]4\sqrt{13} =14.42220510[/tex]➜ Now we order then from Least to Greatest:
[tex]14.33[/tex], [tex]4\sqrt{13}[/tex], [tex]14\frac{2}{5}[/tex]_______________________
So your answer would be [tex]\bold~B[/tex].
_______________________
[tex]Hope~this~helps~Mate!~\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
I need help with this math task, I don't know if you can do it with a photo or not, but I need the result, thanks!!
Answer:
under 1: 225
under 2: 450
under 3: 765
under 4:1020
Step-by-step explanation:
it multiplies each day
f(x)=2x+1,g(x)=X2-2x-4
Expand & simplify
(x+2)(x−3)(x+4)
Which expression is equivalent to 6(2x-8) *
A : 12x+48
B: 12x-8
C: 12x-48
D: 2x-48
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
6(2x-8)
6 * 2x = 12x
6 * -8 = -48
12x - 48
TEEHEE HELPP ME PLS PLS PLS PLS???
Answer:
That is true not false dont get confused
Danica is buying a teal Jansport backpack at Kohl's for $45. The backpack is on sale for 15% off. What is the sale price of the backpack?
The backpack price is $38.25
A contractor bought 12.6 ft2 of sheet metal. He has used 3.7 ft2 so far and has $160.20 worth of sheet metal remaining. The equation 12.6x−3.7x=160.2 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:$18 per square foot
Step-by-step explanation:
12.6x-3.7x=160.2
8.9x=160.2
x=18
$18 per square foot
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer: $62.75
Step-by-step explanation:
1.)$20.00 x2= $40.00
2.)$14.50 +$8.25= $22.75
3.)$40.00 +$22.75= $62.75
Hope this helps
PLEASE HELP GOTTA GO TO CROSS COUNTRY PRACTICE PLEASE AND THANKS MARK YOU BRAINLIEST
Answer:
1. $13.78
2. 5.3lbs
3. $4.56
4. 30.44lbs
5. $32.07
Step-by-step explanation:
Simple addition and subtraction.
can you tell who is the fastest animal In the world
Answer:
Cheetah
Step-by-step explanation:
the expression 9.78(4.3x + 5.15) simplifies to
Answer: 42.097x+50.4185
Step-by-step explanation:
ALGEBRA NATION!!! NEED HELP :(