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aivan3 [116]
3 years ago
8

Select the most likely answer for the coefficient of linear correlation for the following two variables: x = the number of hours

spent studying for a test, and y = the number of points earned on the test
a. r = 1.20b. r = 0.70c. r = - 0.85d. r = 0.05
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

Option b) r = 0.70      

Step-by-step explanation:

We are given the following in he question:

Variables:

x = the number of hours spent studying for a test

y = the number of points earned on the test

  • Correlation is a technique that help us to find or define a relationship between two variables.  
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

As the number of hours increases, the number of points earned on the test increases. Thus, the two variables are positively correlated.

Thus, the coefficient correlation between two variables can be given by r = 0.70, that shows a moderate positive correlation.

Option b) r = 0.70

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Answer:

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Step-by-step explanation:

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Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

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To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

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Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

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Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

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Answer:

Step-by-step explanation:

Here,  

y

∝

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