1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
strojnjashka [21]
3 years ago
5

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per

centage of claims.
x 3 7 15 32 74
y 40 35 30 25 17

a) Make a scatter diagram of the data and visualize the line you think best fits the data.

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right

where <em>x</em> is the average number of employees in a group health insurance plan and <em>y</em> is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (<em>in this case x</em>) and the dependent variable on the vertical axis (<em>in this case y</em>). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find X\cdot Y and X\cdot X as it was done in the below table.

Step 2: Find the sum of every column:

\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}

You might be interested in
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Bumek [7]

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =

Add the fractions:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}

Therefore, the fractions sum up to 29/28.

3 0
3 years ago
Read 2 more answers
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you! ​
madam [21]

Answer:

the second and last one

....................

5 0
3 years ago
What are the solutions to the equation |x| =15 -4x?
zheka24 [161]
I hope this helps you

5 0
3 years ago
The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 carton
marusya05 [52]

Answer:

19 liters 800 milliliters

Step-by-step explanation:

0.33 * 12 * 5 = 19.8 liters

6 0
1 year ago
Is y=5x+4 proportional?
Maurinko [17]
Its proportional. 

(I need 20 characters but thats all really.)


4 0
3 years ago
Other questions:
  • Cam someone answer this plz?
    8·2 answers
  • Which expression is equivalent to 3n + 2(1 - 4n)
    10·1 answer
  • david is taller than chris, chris is shorter than anne, anne is as tall as sarah, sarah is shorter than david. who is the shorte
    6·2 answers
  • Joseph is making kebabs. He wants each kebab to have 333 pieces of meat and 444 pieces of vegetables.
    9·1 answer
  • The Reno Raiders are voting on which player should be their captain for the upcoming season. Brody received 1/3 of the votes. Da
    15·1 answer
  • Please help. :( need a real mathematics wizz to help me.
    11·2 answers
  • 6x^2-2x=0 I have to solve this by factoring
    15·2 answers
  • You are to take a multiple-choice exam consisting of 100 questions with 2 possible responses to each question. Let x represent t
    12·1 answer
  • A function is shown in the table below. If included in the table, which ordered pair would result in a relation that is no longe
    6·1 answer
  • Most television showsUse 13 minutes of every hour for commercials leaving the remaining 47 minutes for the actual show. One popu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!