Brenda collected this data from an experiment.
Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at ???? = 7?

Answers

Answer 1

Given:

The data table of an experiment.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

To find:

The residual (difference) of the data point at t = 7.

Solution:

From the given table, it is clear that the value of h is 3.9 at t =7.

So, observed value is 3.9.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

Putting t = 7, we get

[tex]h=0.6(7)+0.44[/tex]

[tex]h=4.2+0.44[/tex]

[tex]h=4.64[/tex]

So, the estimated value is 4.64.

Residual formula:

Residual = Observed value - Estimated value

              = [tex]3.9-4.64[/tex]

              = [tex]-0.74[/tex]

Therefore, the residual value of the data point at t = 7 is -0.74.


Related Questions

What’s the answer to this problem

Answers

Answer:

1.2075

Step-by-step explanation:

Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)

Answer: 1.2075

Step-by-step explanation:

multiply 0.69*1.75 and u will get 1.2075

Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?​

Answers

Maybe 4.80

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

13.25x + 31.50x≤155

44.75x≤150

What is the value of f(3) f ( 3 ) for the function f(x)=4x−1

Answers

Answer:

1

Step-by-step explanation:

f(x)=4x-1

3(x)=4x-1

3x=4x-1

3x-4x=-1

-1x=-1

x=1

BRAINLIEST
please help and leave a small explanation :)

Answers

Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.

1. Write the equation that models the height of the roller coaster.

a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2

b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.

2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.

Answers

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

What is the slope of a line that is perpendicular to the graph ofy = 7x+1?

Answers

Using the slope-intercept form, the slope is −7 .

Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

Brian has £98. Colin takes £y. How much is left?
£

Answers

Answer:

he has £98-y

Step-by-step explanation:

im not sure though

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?

Answers

Answer:

There were 2747 yes votes.

Step-by-step explanation:

This question can be solved using proportions.

The ratio of yes votes to no votes was 5 to 3 .

This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.

If there were 4395 total votes, how many yes votes were there?

For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?

5 yes - 8 votes

x yes - 4395 votes

8x = 4395*5

x = 4395*5/8

x = 2747

There were 2747 yes votes.

5) What is the product of prime numbers immediately before and after 50?​

Answers

Hey there!

The answer to your question is 2491

The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.

Hope this helps and have a great day!

What is the slope of the line i need help asap

Answers

Answer:

Step-by-step explanation:

is C  -1/2

y=mx+b

2y=6-x

y=-x/2 +3

m=-1/2

Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa


What is the concentration of cocoa in the resulting mixture?

Answers

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%

Which point is the reflection of point E across the y-axis what are it’s coordinates ??

Answers

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

!!edmentum answer!!

what is the sum of 7 3/16+3/4​

Answers

Answer:

7 15/16

Step-by-step explanation:

find the same denominator which is 16

3/4x4/4 = 12/16

7 3/16+12/16= 7 15/16

probably bad explanation but hope it helps.. :)

Answer:

Mixed number-7  15/16

Exact form-127/16

Decimal-7.9375

Step-by-step explanation:

HELP PLEASE


-9x + 3 > 39 OR - 5x + 6 < 16

Answers

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.
Based on previous data, here is the probability distribution of X along with summary statistics:
X = # of customers 0 1 2 3
P(X) 0.10 0.20 0.30 0.40
Mean: μx = 2
Standard deviation: σx = 1
Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip. What are the mean and standard deviation of Y?

Answers

Answer:

Mean y = 19 ; SD y = 10

Step-by-step explanation:

Given that:

No of customers : __ 0 ____ 1 _____ 2 ___ 3

P(x) : ___________0.10 __ 0.20 __0.30 _0.40

Fuel cost =$1 (constant)

Amount paid per customer =$10

Number of customers = x

σx = 1 ; μx = 2

σ^2 = 1^2 = 1

Mean of Y

μy = E(Y)

= E(10x - 1)

= 10(Ex) - 1

E(x) = 2

= 10(2) - 1

= 20 - 1

= 19

σY = SD(y)

SD(10x - 1)

10*SD(x) - 1

SD(x) = 1

10(1) - 0

Note : SD of a constant = 0

10 - 0

= 10

The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.

Given :

Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.Standard deviation: σx = 1 Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip.

The mean of Y can be calculated as given below:

[tex]\rm \mu(Y)=E(Y)[/tex]

[tex]\rm \mu(Y)=E(10x - 1)[/tex]

[tex]\rm \mu(Y) = 10E(x) - 1[/tex]

According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.

[tex]\rm \mu(Y) = 10(2) - 1[/tex]

[tex]\rm \mu(Y) = 19[/tex]

Now, the standard deviation of Y can be calculated as:

[tex]\rm \sigma_Y=SD(Y)[/tex]

[tex]\rm \sigma_Y=SD(10x-1)[/tex]

[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]

The value of SD for a constant is zero.

[tex]\rm \sigma_Y=10(1)-0[/tex]

[tex]\rm \sigma_Y = 10[/tex]

For more information, refer to the link given below:

https://brainly.com/question/12402189

Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square

Answers

Your answer would be Trapezoid isoscleses trapezoid, rhombus. I think. Hope this helps?!

Parallelogram and Rectangle has rotational symmetry of 180 degree.

Trapezoid has rotational symmetry = 360 degree.

Isosceles Trapezoid has rotational symmetry = 360 degree.

Parallelogram has rotational symmetry = 180 degree.

Rhombus has rotational symmetry = 90 degree.

Rectangle has rotational symmetry = 180 degree.

Square has rotational symmetry = 90 degree.

Learn more: https://brainly.com/question/20969283

3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it

Answers

Answer: 32 sq m.

Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.

what is cheaper 6lbs for $50.00 or 6.5lbs for $60.00

Answers

Answer:

6lbs for $50.00 is cheaper

Step-by-step explanation:

Answer$50

Step-by-step explanation:

What is the answer to the problem?

30 = -5(m + 6) + m

Answers

30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

Answer:

m=−15

If AABC~ADEF, what is the scale factor of AABC to ADEF?

Answers

Given:

[tex]\Delta ABC\sim \Delta D E F[/tex]

[tex]AB=18,BC=21,AC=24,EF=7[/tex]

To find:

The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].

Solution:

We have,

[tex]\Delta ABC\sim \Delta D EF[/tex]

So, side BC is the corresponding side of EF.

Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is

[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]

[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]

[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].  

Helpppppppppppppppppppppppppppp

Answers

Answer:

5

Step-by-step explanation:

4^2+3^2

=16+9=25

[tex]\sqrt{25}[/tex]=5

The answer is D, 5
Hope that helps

Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6

Answers

Answer:

We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Please help me with my homework!

Alexis says she is thinking about a number whose absolute value is 19. What are the possible numbers she could be thinking of? Mark them on the number line.

Answers

Answer:

-19 and 19

Step-by-step explanation:

The only values that have an absolute value of 19 are -19 and 19.

Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?

Answers

He should expect to save $22.50 because 150*0.15=22.5

There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?

Answers

Answer:

36

Step-by-step explanation:

so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.

517 37/50 + 312 3/100

Answers

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?

Answers

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

 (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

Answer:

The other guy is wrong. The correct answer is Option C.

Step-by-step explanation:

It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C

Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students

Answers

Answer:

a

Step-by-step explanation:

it won't be 5

nor 60

and it won't be 15

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