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Snezhnost [94]
3 years ago
12

Which of the following is a description of the data with a correlation coefficient of -0.3?

Mathematics
2 answers:
Volgvan3 years ago
8 0

Answer:

<u>Option B. A description of the data with a correlation coefficient of -0.3 is that it is a low negative correlation.</u>

Step-by-step explanation:

In statistics, the correlation coefficient is a measure of the linear correlation between two variables x and y. This correlation coefficient can be positive, negative or it can show no correlation. A positive correlation indicates that while one data set increases, the other data set does as well, positive correlations a typically  show a positive number. A negative correlation means that while one data set increases, the other data set decreases, this type of correlation is typically shown in a line that goes down on the scatter plot. No correlation means exactly that, that the two sets of data are no correlated at all.

Therefore, if the correlation coefficient is -0.3, this indicates that the correlation between the two sets of data is a negative type, as the number  negative 0.3 is indicating a line that goes down, instead of a line that goes up.

STALIN [3.7K]3 years ago
6 0
The number is near zero, so it is classified as "low." Its sign is negative, so it is a ...
   -low negative correlation
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Answer:

  • Part A: The price of fuel A is decreasing by 12% per month.

  • Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

<u>Part A:</u>

The function     f(x)=2.27(0.88)^x     calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month       price, f(x)

1                 2.27 (0.88) = 1.9976 ≈ 2.00

2                2.27(0.88)² = 1.59808 ≈ 1.60

3                2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

<u>Part B.</u>

<u>Table:</u>

m       price, g(m)

1          3.44

2         3.30

3          3.17

4         3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

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Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

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