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Nastasia [14]
1 year ago
14

The correlation coefficient r between the values assumed by two variables, X

Mathematics
1 answer:
Flura [38]1 year ago
4 0

The slope of the line of best fit to the raw-score scatter plot is 0.98

  • The equation is y = 0.98x - 3.74
  • The value of y given that x = 12 is 8.02

<h3>How to determine the slope of the line?</h3>

From the question, we have the following parameters that can be used in our computation:

  • Standard deviations of X, Sx = 1.88
  • Standard deviations of Y, Sy =2.45
  • Correlation coefficient, r between X and Y = 0.75

The slope (b) of the line is calculated as

b = r * Sy/Sx

Substitute the known values in the above equation, so, we have the following representation

b = 0.75 * 2.45/1.88

Evaluate

b = 0.98

<h3>The equation of the line of best fit</h3>

A linear equation is represented as

y = bx + c

Where

Slope = b

y-intercept = c

In (a), we have

b = 0.98

So, we have

y = 0.98x + c

Recall that the point (13, 9) is on the line of best fit.

So, we have

9 = 0.98 * 13 + c

This gives

9 = 12.74 + c

Evaluate

c = -3.74

So, we have

y = 0.98x - 3.74

<h3>The value of y from x</h3>

Here, we have

x = 12

So, we have

y = 0.98 x 12 - 3.74

Evaluate

y = 8.02

Read more about line of best fit at

brainly.com/question/1564293

#SPJ1

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Rafael earns $35 more per week than Andrew. If their weekly salaries total $715, what amount does each earn?
jeyben [28]

Answer:

Rafael earns $375

Andrew earns $340

Step-by-step explanation:

Here, we will set up a system of equations where r represents Rafael and a represents andrew.

r = a + 35

r + a = 715

Next, we substitute a + 35 for r in the second equation.

(a + 35) + a = 715 (combine like terms)

2a + 35 = 715 (subtract 35 from both sides)

2a = 680 (divide both sides by 2)

a = 340

To solve for r, we can plug 340 for a into either equation.

r = (340) + 35

r = 375

We can double check by plugging both values into the other equation.

375 + 340 = 715 (yes, it works!)

Brainliest, please :)

3 0
2 years ago
Write each of the following word names as mixed decimals. a. six and two tenths b. seventeen and four hundredths c. four hundred
Harlamova29_29 [7]

Explanation:

The number before the "and" or the comma is the integer portion of the number. The decimal fraction portion follows. "Tenths", or "hundredths", or "thousandths" tells you the denominator, hence the location of the rightmost digit. Otherwise the fraction digits are represented normally. ("two hundred seventy-eight" is still 278, for example.)

a. six and two tenths: 6.2

b. seventeen and four hundredths: 17.04

c. four hundred, and thirty-five thousandths: 400.035

d. fifty-six, and two hundred seventy-eight thousandth: 56.278

_____

"thirty-five thousandths" can be written as 35/1000 or 0.035. Both are pronounced the same and mean the same thing.

8 0
3 years ago
Read 2 more answers
What is the solution to the system of equations below? y = -3X+5 and y=4x-2 (1, 2) (1, –18) (–1, 8) (–1, –6)
Maurinko [17]

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

y = 4x - 2 → (2)

Substitute y = 4x - 2 into (1)

4x - 2 = - 3x + 5 ( add 3x to both sides )

7x - 2 = 5 ( add 2 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = (4 × 1) - 2 = 4 - 2 = 2

Solution is (1, 2 )

4 0
3 years ago
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Which of the following is the equation of a line that passes through the point (1,4) and is parallel to the x-axis A. Y=1 B. Y=4
const2013 [10]

Answer:

B

Step-by-step explanation:

The equation of a line parallel to the x- axis is

y = c ← standard form

Where c is the value of the y- coordinates the line passes through

here the line passes through (1, 4) with y- coordinate of 4, hence

y = 4 ← is the equation of the horizontal line


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3 years ago
What distance was used to define the astronomical unit (AU)
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