Correlation and Regression Quiz

What is correlation?

• A type of flower

• A statistical measure that describes the extent to which two variables change together.

• The process of converting liquid to gas

• The study of ancient civilizations

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What is regression?

• A statistical method used to examine the relationship between two or more variables.

• A form of government policy

• A method for solving algebraic equations

• A type of physical exercise

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Can you give an example of correlation in real life?

• The connection between wearing a hat and the stock market.

• The correlation between the number of shoes owned and intelligence.

• The relationship between eating ice cream and shark attacks.

• The relationship between the amount of exercise and weight loss.

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Can you give an example of regression in real life?

• Counting the number of apples in a basket

• Predicting the price of a house based on its size, location, and other factors

• Measuring the temperature of a room

• Determining the color of a car

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What is the range of correlation coefficient?

• Between 0 and 1

• Between -1 and 0

• Between -1 and 1

• Between -2 and 2

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What is the formula for calculating correlation coefficient?

• (nΣxy + ΣxΣy) / √((nΣx^2 + (Σx)^2)(nΣy^2 + (Σy)^2))

• (nΣxy - ΣxΣy) / ((nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2))

• (nΣxy - ΣxΣy) / √((nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2))

• (nΣxy - ΣxΣy) / ((nΣx^2 - (Σx)^2) + (nΣy^2 - (Σy)^2))

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What is the difference between positive and negative correlation?

• Positive correlation means both variables increase, while negative correlation means one variable increases and the other decreases.

• Positive correlation means one variable decreases and the other increases, while negative correlation means both variables decrease.

• Positive correlation means both variables decrease, while negative correlation means one variable decreases and the other increases.

• Positive correlation means one variable increases and the other decreases, while negative correlation means both variables increase.

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What is the formula for simple linear regression?

• y = mx - b

• y = mx + b

• y = mx^2 + b

• y = ax^2 + bx + c

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How is correlation different from causation?

• Correlation only applies to qualitative data

• Correlation and causation are the same thing

• Causation can be measured using a correlation coefficient

• Correlation measures the relationship between two variables, while causation indicates that one variable causes the other to occur.

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Why is it important to understand correlation and regression in mathematics?

• It helps in analyzing relationships between variables and making predictions based on data.

• It only applies to advanced mathematics

• It is too complex for most people to understand

• It has no practical application in real life

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