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
riadik2000 [5.3K]
3 years ago
12

Suppose the line of best fit is being found for some data points that have an r-value of 0.657. If the standard deviation of the

x-coordinates is 2.445, and the standard deviation of the y-coordinates is 9.902, what is the slope of the line to three decimal places?
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
5 0
We are given a line with the following data:

r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)

We are asked to find the slope of the line up to 3 decimal places.

To find the slope of the line, based on the data that we have, we can use this formula:

slope, b = r * (Sy / Sx) 

substitute the values to the formula:

b = 0.657 * ( 9.902 / 2.445 )

Solve for the b.

Therefore, the slope of the line is 

b = 2.66078, round off to three decimal places:

b = 2.661 is the slope of the line. 
castortr0y [4]3 years ago
5 0

Answer: 2.661

Step-by-step explanation:

A P E X

You might be interested in
How many tens are there in 10 ones? <br>​
AlexFokin [52]

Answer:

1 ten.

Step-by-step explanation:

1 ten = 10 ones/units

7 0
3 years ago
Read 2 more answers
PLEASE HELP! I have made a pic of it. Hope you have a nice day
masha68 [24]
A is the answer 7th graders are not likely
8 0
2 years ago
The two rectanglular plots of land has proportional side lengths.
arsen [322]
The answer should be c

8 0
2 years ago
Read 2 more answers
Find f'(x) and state the domain of f':<br> f(x) = In (2x^2+1)
-Dominant- [34]

Answer:

f'(x) = \frac{4x}{2x^2+1}

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative: \frac{d}{dx} [ln(u)] = \frac{u'}{u}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

  1. Derivative ln(u) [Chain Rule/Basic Power]:                          f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}
  2. Simplify:                                                                                       f'(x) = \frac{1}{2x^2+1} \cdot 4x
  3. Multiply:                                                                                                     f'(x) = \frac{4x}{2x^2+1}

<u>Step 3: Domain</u>

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0
3 years ago
What is the distance between the following points?
Savatey [412]

Answer:

What points?

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • A rectangle has a perimeter of 54 miles and a height of 18 miles. What is the length of the base?
    10·2 answers
  • Mark has no basketballs. cat has eight basketballs and Sophia has six balls how many do they have all together?
    14·1 answer
  • *PLEASE HELP*There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacemen
    9·2 answers
  • PLLSS HELP THANK YOU:) What is the equation of the line in standard form? A function graph of a line with two points (-3,2) and
    7·2 answers
  • Factor this expression 27 + 33
    13·1 answer
  • I need help please ASAP
    10·1 answer
  • -1= p - 1<br> Can you help me?
    7·2 answers
  • Please help if you can
    10·2 answers
  • Which letter represents the maximum of the data set on the box plot?
    14·1 answer
  • Please help I have no clue what I’m doing and I have a quiz tmr
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!