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3 years ago

which residual plot shows that the line of best fit is a good model?

Mathematics

2 answers:

mojhsa [17]3 years ago

4 0

Answer:

The first one.

Step-by-step explanation:

In the first plot, the data are grouped somewhat tightly together in a shape that resembles a line. This means a line of best fit will work.

In the second plot, the points seem to form an arch towards the middle; a line would not be a good fit for this data.

In the third plot, the data is too scattered to draw a best fit model.

In the fourth plot, the points seem to form a u-shape towards the middle; a line would not be a good fit for this data.

Romashka-Z-Leto [24]3 years ago

3 0

Ideally, we want the dot plots to cluster (or to 'group') close enough with each other to draw a line best fit.

Plot 1: The plots are close enough to each other we can draw a line best fit, as shown in the picture below

Plot 2 and Plot 3: We draw the line best fit following the trend of most dot plots but there are outliers. Outliers are the dot plots that are far away from the cluster near the line-best-fit

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Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spread

natima [27]

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; $r_{n+1}$ = $r_{n}$ + 1000k $r_{n}$ ( 1000 - $r_{n}$ )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees will have heard the rumor ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

r3 will be;

r3 = r2 + ( 0.001)r2(1000-r2 )

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n rₙ

0 4

1 7.984

2 15.904255744

3 31.555566137

4 62.1153785

5 120.372437

6 226.25535

7 401.319217

8 641.58132

9 871.53605

10 983.497013

11 999.727651

12 999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

5 0

3 years ago

Evaluate the expression \dfrac{5\cdot x^3}{x^2} x 2 5⋅x 3 start fraction, 5, dot, x, cubed, divided by, x, squared, end fracti

Fantom [35]

Answer:

Step-by-step explanation:

Given the expression:

(5 * x³) / x² ; for x = 2

Simplifying (5 * x³) / x²

5 * x^(3-2)

5 * x^1

= 5x

For x = 2

5x = 5*2 = 10

8 0

3 years ago

Find the area of a rectangle 4 3/4 feet long and 2 feet long

omeli [17]

Answer:

9.5 ft^2

Step-by-step explanation:

It’s just 4.75 * 2

7 0

3 years ago

What is the slope / rate of change for 2, 5 and -3, 7

Nady [450]

Answer:

$\displaystyle m=\frac{-2}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS 

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{7-5}{-3-2}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{2}{-5}$
[Slope] [Fraction] Rewrite: $\displaystyle m=\frac{-2}{5}$

4 0

3 years ago

What is 2 units left 2 units up and 4 units right if you start at 0,0

elena-s [515]

That answer would be 2,2

5 0

3 years ago

Read 2 more answers

﻿which residual plot shows that the line of best fit is a good model?

which residual plot shows that the line of best fit is a good model?