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
In-s [12.5K]
2 years ago
7

What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t

he line of best fit. A data point is 1. 3 units below the line of best fit. The line of best fit has a slope of –1. 3 The line of best fit has a slope of 1. 3.
Mathematics
1 answer:
Darina [25.2K]2 years ago
8 0

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

You might be interested in
Paula wants to save at least $800 for a trip. Which inequality shows the least amount she must save each month for 9 months to a
ElenaW [278]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca
nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1  - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

7 0
2 years ago
................... 8x-0.2=9.8
mario62 [17]

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3/4 2/3 5/6 5/7 least to greatest
Lana71 [14]

Answer:

2/3, 5/7, 3/4, 5/6.

Step-by-step explanation:

Convert each one to a decimal fraction:

3/4 = 0.75

2/3 = 0.666..

5/6 = 0.8333..

5/7 = 0.714

So least to greatest is

2/3, 5/7, 3/4, 5/6.

6 0
3 years ago
Read 2 more answers
Pls help ill paypal 50 bucks if right if you explain 100 bucks
marusya05 [52]

Answer:

blank 1: toby

blank 2: 4

Step-by-step explanation:

if im right i dont want ur money

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following are true statements about any regular polygon? Check all that apply.
    13·2 answers
  • Which set of numbers represents the lengths of the sides of a right triangle? 1. {7, 24, 25} 2. {9, 16, 23} 3. {10, 12, 14} 4. {
    6·1 answer
  • Which function in the inverse of f(x) = 2x+3
    8·1 answer
  • WILL MARK BRAINLIEST!!Which of these is a compound event?
    11·2 answers
  • 3x(2x-1)-(2x+3)(2x+3)
    7·1 answer
  • The sum of two numbers is 24. The difference is 15. What are the two numbers?
    14·1 answer
  • Question 3: Find the vertex of - x2 - 4x + 12
    13·1 answer
  • Which is a different way to express 2(w + 3)?
    15·1 answer
  • 7x - y = 10<br> x - 4y = -14
    14·1 answer
  • A bowl contains
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!