50 Points
Step 3: Making predictions using data

You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.

Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91

a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)







b) Find the equation of the trend line (line of best fit). Show your work. (2 points)



















c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)


d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)

Answers

Answer 1

Answer:

a) I am sorry, but I don't know this one.

b) y = mx + b

=> b = y-intercept = 0

=> m = slope = Rise/Run

=> Rise/Run = 120/65

=> Rise/Run = 24/13

=> Slope = 24/13

=> Our Equation: y = 24x/13

c) After drawing the trend line, we can conclude that if 100 costumers were served, the amount of tips would be about $185

d) To use a regression calculator, we must be given a table with x and y values. Then we insert the values in the calculator so that it can give us the whereabouts of a point and it can give us the trend line. After the trend line is given, we can make a prediction.

Hoped this helped. Sorry that I didn't answer the first part.


Related Questions

SEND HELP PLEASE I BEG YOU

Answers

y=5
linear function undefined slope

Answer:

Linear function, zero slope

Step-by-step explanation:

Definition of a horizontal line

A horizontal line neither rises nor falls and has a zero slope.  Hence, the equation y = mx + b becomes y = b, where b is the y-intercept. The selected option for the equation of the given graph is correct, that y = 5.

Definition of a function

A function is a relation where any x-coordinate cannot be paired with more than one y-coordiante.  Consequently, if a graph contains two or more different points with the same first coordinate, the graph cannot represent a function.  

Vertical line test

A great way to test whether a given graph represents a function is by performing the vertical line test.  The vertical line test states that if each  vertical line drawn intersects the graph at exactly one point, then the relation is a function.

Attached is an edited screenshot of the given graph, showing the results of the vertical line test. The given graph is a function since each vertical line crosses the graph at most once.  This implies that each x-coordinate corresponds to exactly one y-coordinate.

Therefore, the given graph represents a linear function with a zero slope.

when the product (3x-2) (2x^2 + 7x-1) is found,
what is the coefficient of the linear term?

Answers

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

Given the functions (3x-2) (2x^2 + 7x-1)

Taking the product of the functions will give:

(3x-2) (2x^2 + 7x-1) = 3x(2x^2) + 3x(7x) + 3x - 4x^2 - 14x + 2

(3x-2) (2x^2 + 7x-1) = 6x^3+21x^2 -11x - 4x^2 + 2

(3x-2) (2x^2 + 7x-1) =6x^3+17x^2 - 11x + 2

The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11

Learn more here: https://brainly.com/question/19005279

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?

Answers

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations
represents the total cost y of a ride that is x miles long.

Answers

Answer:

y = 1.50x + 5.50

Step-by-step explanation:

Your school is planning a held trip to the 200. There are two different bus companies that the school can use. The school wants to know how many students,' s will need to go in order for Bus 8 to be more expensive than Bus A Bus A costs $40 rental fee plus $4 for each student. Bus B costs a $100 rental fee plus $2 for each student

Answers

Answer:

for bus A if there is OVER 40 studentsbus b will cost less

Which of the following is not a function? Click on the graph until the correct graph appears.

Answers

Answer: The first/ third one

Step-by-step explanation:

Please help me on this!
Jack has an insurance policy with a premium of $20 per month. In March, he's in an accident and receives a bill with a total cost of $1,500. His deductible is $500, and his coverage limit is $1000. How much total money will Jack pay for the accident in March?

Question 5 options:

$1500


$3000


$500


$20


$1000

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME!! Find the unit rate of y= -4x. Explain how you came up with the answer.

Answers

Answer:

The unit rate is -4

Step-by-step explanation:

For each increase of 1 unit in x there is a change of -4 in y

Find the distance from point A to the given line.

1. A(−1, 7), y = 3x
and
2. A ( − 1 — 4 , 5 ), −x + 2y = 14

Answers

Answer:

The shortest distance from a point to a line is the perpendicular from the line to the point

The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;

-x + 2·y = 14

2·y = 14 + x

y = 14/2 + x/2 = x/2 + 7

y = x/2 + 7

The slope, m₁ = 1/2 and the y-intercept = 7

Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2

Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2

The equation of the line is therefore;

y - 5 = -2(x - (-1/4))

y - 5 = -2·x - 1/2

y = -2·x - 1/2 + 5 = -2·x + 9/2

y = -2·x + 9/2

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;

-2·x + 9/2 = x/2 + 7

9/2 - 7= x/2 + 2·x

-2.5 = 2.5·x

x = -2.5/2.5 = -1

x = -1

y = x/2 + 7 = -1/2 + 7 = 6.5

y = 6.5

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)

The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;

Where;

(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)

Plugging in the values, we have;

Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.

100 points if u get this right ty have a nice day !

Answers

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Are of square formula:
L x 2

L = 2 mi
2 x 2 = 4 mi ^2
We put a small 2 at the top Because we do mi x mi

This graph shows how the total number of appetizer recipes Jonathan knows depends on the number of weeks he attends Appetizer recipes Jonathan knows Number of appellzer recipes Number of weeks Write the constant of variation of the above graph in the empty box. Answer: appetizers per week.​

Answers

you didn’t attatxh a graph


Which number is equal to √45 rounded to the nearest tenth?

Answers

The answer is 6.7. I know this because I didn’t this math already.

Answer:

6.71

Step-by-step explanation:

Can someone help me with this I don't get it

Answers

Those are exterior btw so they would be congruent

Given a set of data with mean of 12 and variance of 84. When each of the data is added with p and multiply with q, the new mean is 51 and the new variance is 756. Find the value of p and of q.​

Answers

Applying statistical concepts, it is found that the values are:

p = -11.37q = 81

When a constant is added to each data in a variable:

The mean is incremented by this constant.The variance remains constant.

When a constant is multiplied to each data in a variable:

The mean is multiplied by this constant.The variance is multiplied by the square of this constant

Hence, mean of 12, added with p and multiplied with q, for a mean of 51:

[tex](12 + p)q = 51[/tex]

Variance of 84, after the operations, 756:

[tex]84\sqrt{q} =756[/tex]

[tex]\sqrt{q} = \frac{756}{84}[/tex]

[tex]\sqrt{q} = 9[/tex]

[tex](\sqrt{q})^2 = 9^2[/tex]

[tex]q = 81[/tex]

For p:

[tex](12 + p)q = 51[/tex]

[tex](12 + p)81 = 51[/tex]

[tex]12 + p = \frac{51}{81}[/tex]

[tex]12 + p = 0.63[/tex]

[tex]p = -11.37[/tex]

A similar problem is given at https://brainly.com/question/24097242

Hurry & help me out for a Brainlist but please add explanation

Answers

Answer:

i cant really understand what its asking but heres how to do it,

Step-by-step explanation:

you want to plug the y, either 36 56 or 76 into where it says y=

then you do the same with the corresponding x intercept and then do basic algebra

2x=1.6-1.2 what is x?

Answers

Answer:

0.2

Step-by-step explanation:

First you need to do 1.6-1.2 which is 0.4 so now you know 2x=0.4 you need to divide 0.4 by 2 which is 0.2 hope this helps

Which of the graphs represents the solution. Please answer this question asap!

Answers

Step-by-step explanation:

-8 < -4x ≤ 12

-8/-4 < x ≤ 12/-4

2 < x ≤ -3

x ≤ -3 or x > 2

Option → A

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

f(x)=4x+11 If f(x) = -1 what is the value of x

Answers

brainiest?

9 :)

anywho brainiest?

Answer:

Since both equations equal to f(x), you can set 4x+11 equal to -1 and solve for x.

4x+11=-1

Subtract 11 from both sides.

4x=-12

Divide both sides by 4.

x=-3

:)

does anyone know how to solve literal equations because I don’t :(

Answers

The resulting expression after expansion is 110x - 1200

Given the function P(x) = 140x - (30x + 1200)

To solve the literal equation, we will have to simply expand the bracket using the distributive law.

According to the law  a(b+c) = ab+ac

You can see that a was distributed over "b" and "c"

For the expression, we will distribute -1 over 30x and 1300 to have;

P(x) = 140x -(30x) - (+1200)

P(x) = 140x - 30x - 1200

P(x) = 110x - 1200

Hence the resulting expression after the expansion is 110x - 1200

Learn more here: https://brainly.com/question/24068333

Find the value of x.

Answers

10). 7
11.) 2
12.) 13
13.) 2
14.) 9
15.) 18

Write the equation for the line that goes through point (, ) with slope = −2

Answers

slope = −2

Once you know the slope of the line, plug it in for m in y = mx +

Step-by-step explanation:

which equation represents the line that is parallel to 5x+y=13

Answers

X=13/5-y/5 this is because I found x

what is 1 1/2 x 2 + 3/4 x 2?

Answers

the anwser is 4.2!!!

Hey guys could someone help me please?
please i need this asap!!
thanks so much omgg

Answers

Answer:

convert the grams to kg

500g = 0.5

100g = 0.1

divide cost by quantity

7.49 / 1 = 7.49$ per bag

3.99 / 0.5 = 7.98$ per bag

0.79/0.1 = 7.9$ per bag

the cheapest is $7.49 which is 1kg bag of flour for 7.49$, that will be your answer

EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!PLEASE HELP MEEEE!!!!

Answers

Answer: x=-5

The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.

Please help bro im stuck on this for hours, ill give u so much points

Answers

Answer:
-2
Explanation:
f = -19.8
17.8 + -19.8 (f) = -2

0.45 + 12.518 equals what ( show ur work or explain how u got the answer)

Answers

I hope this helps

BRAINLEST PLEASE

hello I need help please?

Answers

Answer: about a 13% increase

Step-by-step explanation:

2750/3162.50 is 0.87 so the profit before was 87% of what it is now

1-0.87 is 0.13 so it increased by 13%

milagros observa la maqueta del proyecto inmobiliario para un centro de capacitacion destinado a estudiantes universitarios que deseen hacer sus practicas preprofesionales en comunidades del interior de nuestro pais y necesiten conocer mas sobre ellas . en la maqueta el largo del terreno sobre el que se realizara la construccion mide 90cm , lo que en la realidad mide 45m ¿ que escala se ha utilizado en la elaboracion de la maqueta?

Answers

Queremos encontrar la escala que se ha utilizado para la elaboración de la maqueta.

Veremos que la escala utilizada es 1cm = 0.5m

Para encontrar la escala, tenemos que ver la relación entre la medida de la maqueta y la medida real.

Sabemos que:

largo en la maqueta = 90cmlargo real = 45m

Lo que tenemos que ver es cuanto representa cada centimetro en la maqueta.

Asi, tenemos la relación:

90cm = 45m

90cm/90 = 45m/90

1cm = 0.5m

Es decir, cada centimetro en la maqueta representa 0.5 metros en la realidad, es decir, la escala utilizada es:

1cm = 0.5m

Sí quieres aprender más, puedes leer:

https://brainly.com/question/17447887

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