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
Mashutka [201]
3 years ago
9

What regression model best fits the data set?(2,13),(4,8),(5,7.5),(7,9),(8,12)

Mathematics
1 answer:
icang [17]3 years ago
7 0

<u>Answer-</u>

<em>Quadratic Regression</em><em> model best fits the data set.</em>

<u>Solution-</u>

Taking x as input variable and y as output variable, regression models were obtained by using Excel.

As we can be seen that, the values of y is neither consistently increasing or decreasing ( as 13 > 8 > 7.5 < 9 < 12 ), so exponential growth  and exponential decay are of no use (because in exponential function the growth or decay rate is constant).

And also, it can not be linear, as the rate of change of y is not constant.

As we can obtain the correct regression model, by considering Co-efficient of Determination (R²). The value of R² ranges from 0 to 1. The more closer its value to 1, the better the regression model is.

From the attachment, it can be observed that,

=0.006

=R^2_{\text{Exponential}}

As the value of R² of the Quadratic Regression is more closer to 1, so that should be followed.

You might be interested in
What is how do I find m and b?
IrinaK [193]

Answer:

<h2>m = 21, b = 5 → y = 21x + 5</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

=====================================

From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).

Calculate the slope:

m=\dfrac{26-5}{1-0}=\dfrac{21}{1}=21

8 0
3 years ago
Please help!!!!! 10 points!!
IrinaK [193]

Answer:

Both calculated the slope as 1/3

Step-by-step explanation:

Avis:


Rise = 4

Run = 12

Rise goes over the run:   4/12

4/12 simplifies into 1/3


Alec:


Rise= 2

Run= 6

Rise goes over the run:   2/6

2/6 simplifies into 1/3

4 0
3 years ago
Read 2 more answers
Uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Dovator [93]

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhrrrrrrrrruuuuuuu

5 0
3 years ago
Read 2 more answers
Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds. What is the percent error in Charlie’s gue
zhuklara [117]
The answer is 5.5 % because 34.5x5.5=32.7
4 0
3 years ago
Read 2 more answers
Solve for X:
galben [10]

Answer:

A. -61/9

Step-by-step explanation:

(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation

14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms

9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56

x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two boxes are shaped as right rectangular prisms. The larger box is has a length of 24 cm, a width of 10 cm, and a height of 30
    11·1 answer
  • A sphere has a diameter of 4(x+3) centimeters and a surface area of 784π square centimeters. Find the value of x.
    9·1 answer
  • Please answer It is very easy<br><br> what value will make the equation true -2.1-?=-1 1/2
    6·1 answer
  • 4 1/6 times 2 2/9 in simplest terms
    8·1 answer
  • Mrs. Crandall spent $42 on window shades that were on sale for a certain percent
    6·2 answers
  • Amy earns $300 per week working at a shoe store. She also earns $4 for each pair of shoes she sells. This week, she wants to ear
    14·2 answers
  • Period 1- 6th Grade Team A (2020-2021)
    12·2 answers
  • FREE PTS! If you had 3 wishes, what would you wish for? (Besides more genies or wishes)​
    14·2 answers
  • Identify the conic section represented by the equation. Provide the center
    7·1 answer
  • 1.7 PS-6
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!