Question 1

Calculate the appropriate correlation coefficient for the following data.

Accepted Answer

The answer of Calculate the appropriate correlation coefficient for the...

Question 2

Calculate the appropriate correlation coefficient for the following data.

Accepted Answer

A correlation coefficient of +0.83 indicates a strong positive correlation between the variables being measured.

Question 3

Which correlation coefficient should we use if we want to find out whether a relationship exists between scores from one interval variable and one ordinal variable?

Accepted Answer

The Spearman rank-order correlation coefficient is the best choice when we want to find out whether a relationship exists between scores from one interval variable and one ordinal variable. This coefficient measures the strength and direction of the relationship between two variables by assessing the degree to which the relationship between the two variables can be described by a monotonic function. The Pearson correlation coefficient assumes that the relationship between two variables is linear, so it is not appropriate for interval-ordinal data. The point-biserial correlation coefficient is used when one variable is continuous and the other is dichotomous. The nonlinear correlation coefficient is used when the relationship between two variables is nonlinear.

Question 4

In a study about the relationship between their age and women's attitudes about marriage,you survey over 500 undergraduate women and calculate a Pearson correlation coefficient.What mistake have you made?

Accepted Answer

By surveying only undergraduate women in college, the sample is limited to a specific age range and excludes women who may have different attitudes towards marriage based on their age and life experiences. This is known as a restriction of range, which can affect the validity of the correlation coefficient calculated.

Question 5

If we compute a correlation on data that come only from the middle of the X distribution (restricted range)rather than from the entire range,the correlation is likely to be _____ the correlation from the entire range.

Accepted Answer

When we compute a correlation on data that come only from the middle of the X distribution rather than from the entire range, we are essentially restricting the range of X values. This means that there will be less variability in the X variable, and therefore less variability to explain in the Y variable. As a result, the correlation is likely to be smaller than the correlation from the entire range where there is more variability in the X variable.

Question 6

Calculate the appropriate correlation coefficient for the following data,assuming X is an interval variable and Y is a ratio variable.

Accepted Answer

Since X is an interval variable and Y is a ratio variable, the appropriate correlation coefficient is Pearson's correlation coefficient. Using a calculator, Pearson's correlation coefficient for the given data is approximately +0.59. Therefore, the correct answer is D.

Question 7

Suppose a researcher has trained two observers to rank participants according to their level of frustration when trying to solve a puzzle.What statistic should be used to determine the extent to which the two observers agree in their rankings of frustration?

Accepted Answer

The best choice in this scenario would be the Spearman rank-order correlation coefficient. This statistic is used to measure the strength and direction of the association between two sets of ranked data. In this case, the two observers are ranking participants according to their level of frustration, which can be considered ranked data. Therefore, the Spearman rank-order correlation coefficient would be the most appropriate statistic to use to determine the extent to which the two observers agree in their rankings.

Question 8

What statistic should be used to find out whether there is a relationship between high school class rank and first-semester college GPA rank?

Accepted Answer

The Spearman rank-order correlation coefficient should be used to find out whether there is a relationship between high school class rank and first-semester college GPA rank. This is because both variables are measured on an ordinal scale, meaning that their values can be ranked. The Spearman correlation coefficient is designed to measure the strength and direction of a monotonic relationship between two ordinal variables.

Question 9

Which correlation coefficient should we use if we want to find out whether a relationship exists between two variables that represent pairs of ordinal scores?

Accepted Answer

The Spearman rank-order correlation coefficient is the best choice for finding whether a relationship exists between two variables that represent pairs of ordinal scores. It is a nonparametric measure of correlation that assesses the relationship between two variables based on the ranks of the data and does not assume a linear relationship between the variables.

Question 10

Calculate the appropriate correlation coefficient for the following data.

Accepted Answer

The answer of Calculate the appropriate correlation coefficient for the...

Question 11

Calculate the appropriate correlation coefficient for the following data

Accepted Answer

The answer of Calculate the appropriate correlation coefficient for the...

Question 12

As a part of her Master's Degree thesis in Geology,Candice needs to calculate a correlation coefficient between the amount of rainfall (measured in inches)and the height of the ground water table (measured in inches)in various parts of the continental U.S.Which formula should she use for this calculation?

Accepted Answer

The answer of As a part of her Master's Degree...

Quiz 7: The Correlation Coefficient

Calculate the appropriate correlation coefficient for the following data.

Calculate the appropriate correlation coefficient for the following data.

Which correlation coefficient should we use if we want to find out whether a relationship exists between scores from one interval variable and one ordinal variable?

In a study about the relationship between their age and women's attitudes about marriage,you survey over 500 undergraduate women and calculate a Pearson correlation coefficient.What mistake have you made?

If we compute a correlation on data that come only from the middle of the X distribution (restricted range) rather than from the entire range,the correlation is likely to be _____ the correlation from the entire range.

Calculate the appropriate correlation coefficient for the following data,assuming X is an interval variable and Y is a ratio variable.

Suppose a researcher has trained two observers to rank participants according to their level of frustration when trying to solve a puzzle.What statistic should be used to determine the extent to which the two observers agree in their rankings of frustration?

What statistic should be used to find out whether there is a relationship between high school class rank and first-semester college GPA rank?

Which correlation coefficient should we use if we want to find out whether a relationship exists between two variables that represent pairs of ordinal scores?

Calculate the appropriate correlation coefficient for the following data.

Calculate the appropriate correlation coefficient for the following data