a. What information is provided by the sign (+ or −) of the Pearson correlation ? b. What information is provided by the numerical value of the Pearson correlation?

Question

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Answer 1

Textbook Question

Chapter 14, Problem 1P

a. What information is provided by the sign (+ or −) of the Pearson correlation?

b. What information is provided by the numerical value of the Pearson correlation?

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

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Answer 2

Textbook Question

Chapter 14, Problem 1P

a. What information is provided by the sign (+ or −) of the Pearson correlation?

b. What information is provided by the numerical value of the Pearson correlation?

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

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Answer 3

Textbook Question

Chapter 14, Problem 1P

a. What information is provided by the sign (+ or −) of the Pearson correlation?

b. What information is provided by the numerical value of the Pearson correlation?

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

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Answer 4

Textbook Question

Chapter 14, Problem 1P

a. What information is provided by the sign (+ or −) of the Pearson correlation?

b. What information is provided by the numerical value of the Pearson correlation?

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Answer 8

a.

Expert Solution

To determine

To explain: The information provided by sign of Pearson correlation.

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To explain: The information provided by sign of Pearson correlation.

Answer 13

Answer to Problem 1P

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Answer 14

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co-variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co-variability of the variable X and Y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Pearson correlation sign shows the nature of the correlation between two or more variables.

Positive sign shows that the correlation is positive and negative sign shows the negative correlation between the variables, if the Pearson correlation is 0 that means there are no correlations between the variables.

The positive correlation indicates that the both variables are increase or decrease in same direction and negative correlation indicates that the both variables are changing in opposite directions.

Answer 15

b.

Expert Solution

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To explain: The information provided by numerical value of the Pearson correlation.

Answer 20

Answer to Problem 1P

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Answer 21

Explanation of Solution

Justification:

The Pearson correlation coefficient is defined as ratio of co variability of the variables with the variability of both variables.

r=SPSSXSSY

Where the co variability of the variable x and y is SP, SSX is the variability of the x variable and SSY is the variability of the y variable.

Numerical value of the Pearson correlation shows the strong and weak nature of the correlation between the variable.

If the value is 1 or –1 it indicating that the perfect linear relationship between the variables and the value 0 indicating that they are not linearly related.

Answer 22

Ch. 14.1 - For each of the following, indicate whether you...Ch. 14.1 - The data points would be clustered more closely...Ch. 14.1 - If the data points are clustered close to a line...Ch. 14.1 - If a scatter plot shows a set of data points that...Ch. 14.2 - Can SP ever have a value less than zero?Ch. 14.2 - Calculate the sum of products of deviations (SP)...Ch. 14.2 - Prob. 3LC Ch. 14.3 - A researcher finds a correlation of r = 0.71...Ch. 14.3 - A researcher finds a correlation of r = 0.60...Ch. 14.4 - A researcher obtains a correlation of r = 0.39 for...

a. What information is provided by the sign (+ or −) of the Pearson correlation ? b. What information is provided by the numerical value of the Pearson correlation?

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