1. A. scatterplot is a graph that shows:
a) The relationship between two variables
b) The distribution of a single variable
c) The mean and standard deviation of a single variable
d) The probability density function of a single variable
Answer: a) The relationship between two variables
2. The correlation coefficient measures:
a) The strength and direction of the relationship between two variables
b) The slope of the regression line
c) The variability of a single variable
d) The probability of a particular outcome
Answer: a) The strength and direction of the relationship between two variables
3. The range of values for the correlation coefficient is:
a) -1 to 1
b) 0 to 1
c) -∞ to ∞
d) 0 to ∞
Answer: a) -1 to 1
4. A positive correlation means:
a) As one variable increases, the other variable also increases b) As one variable increases, the other variable decreases
c) There is no relationship between the two variables
d) The correlation coefficient is negative
Answer: a) As one variable increases, the other variable also increases
5. If the correlation coefficient is close to 0, it means:
a) There is a strong positive correlation between the two variables
b) There is a strong negative correlation between the two variables
c) There is no relationship between the two variables d) The correlation coefficient is invalid
Answer: c) There is no relationship between the two variables
6. Which of the following statements is true regarding outliers in a scatterplot?
a) Outliers have no effect on the correlation coefficient
b) Outliers can increase or decrease the correlation coefficient, depending on their position
c) Outliers always decrease the correlation coefficient
d) Outliers always increase the correlation coefficient
Answer: b) Outliers can increase or decrease the correlation coefficient, depending on their position
7. If the correlation coefficient is -0.75, it means:
a) There is a strong positive correlation between the two variables
b) There is a moderate positive correlation between the two variables
c) There is a strong negative correlation between the two variables
d) There is a moderate negative correlation between the two variables
Answer: c) There is a strong negative correlation between the two variables For any Statistics related queries, Call us/
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8. Which of the following is true regarding causality and correlation?
a) Correlation implies causation
b) Causation implies correlation
c) Correlation does not imply causation
d) Causation does not imply correlation
Answer: c) Correlation does not imply causation
9. A scatterplot can be used to:
a) Identify outliers
b) Identify trends in the data
c) Identify the direction of the relationship between two variables
d) All of the above
Answer: d) All of the above
Which of the following statements is true regarding the line of best fit in a scatterplot?
a) It always passes through all the data points
b) It is the line that minimizes the sum of the squared errors
c) It is the line that maximizes the correlation coefficient
d) It is the line that intersects the x-axis at the mean of the xvalues
Answer: b) It is the line that minimizes the sum of the squared errors