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spayn [35]
3 years ago
9

Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • 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.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

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Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2
Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

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(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

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Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

(a) (15, 30) and (20, 40)

m = \frac{40 -30}{20- 15}

m = \frac{10}{5}

m =2.00

(b) (12, 32) and (18, 48)

m = \frac{48 -32}{18- 12}

m = \frac{16}{6}

m = 2.67

(c) (27, 12) and (72, 32)

m = \frac{32-12}{72- 27}

m = \frac{20}{45}

m = 0.44

(d) (45, 15) and (60, 20)

m = \frac{20-15}{60- 45}

m = \frac{5}{15}

m = 0.33

(e) (27, 2) and (243, 18)

m = \frac{18-2}{243- 27}

m = \frac{16}{216}

m = 0.07

(f) (18, 63) and (24, 84)

m = \frac{84-63}{24- 18}

m = \frac{21}{6}

m = 3.50

(g) (63, 9) and (84, 12)

m = \frac{12 -9}{84- 63}

m = \frac{3}{21}

m = 0.14

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

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Answer:

58.06%

Step-by-step explanation

TRUST ME

8 0
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