Describe in words the nature of the relationship between each pair of variables as indicated by the value of the correlation coefficient. Be sure to include
a. the direction of the relationship.
b. the strength of the relationship.
c. a verbal description of the way the variables "go together."
d. an appropriate graph of the relationship. (for the graphing portion, describe what the scatterplot should look like in terms of slope, linear characteristics, etc)
1. r = -.96 between craving for pizza and ability to concentrate on studying.
2. r = +.02 between length of marriage and marital satisfaction.
3. r = +.55 between parent and child intelligence test scores.
4. r = -.90 between amount of alcohol consumed and performance on a motor coordination task.
5. r = +.75 between amount of money won and the number of hot dogs purchased at race tracks.
6. r = +.67 between scores on a hyperactivity scale and an aggressiveness scale.
7. r = -.82 between a job applicant's age and likelihood of being hired.
8. r = +.06 between the number of yearly predictions by psychics and the number of correct predictions.
I NEED HELP AM NOT UNDERSTANDING THIS.
Positive r, both variables increase/decrease together. The direction is from lower left to upper right.
Negative r, one variable increases while the other decreases. Direction is from upper left to lower right.
r = ± 1 = prefect predictability, straight line. r = 0 = no predictability, scores spread randomly. As approach 1, the spread gets less and less, and predictability gets greater.
The above information should help you answer the above questions.
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r = +.67 between scores on a hyperactivity scale and an aggressiveness scale.
I will explain the nature of the relationship for each pair of variables as indicated by the value of the correlation coefficient:
1. r = -.96 between craving for pizza and ability to concentrate on studying.
a. The direction of the relationship: negative correlation.
b. The strength of the relationship: strong negative correlation.
c. Verbal description: The higher the craving for pizza, the lower the ability to concentrate on studying.
d. Graph: The scatterplot will show a steep downward sloping line, indicating a strong negative correlation between craving for pizza and ability to concentrate on studying.
2. r = +.02 between length of marriage and marital satisfaction.
a. The direction of the relationship: positive correlation.
b. The strength of the relationship: very weak positive correlation.
c. Verbal description: There is a very weak positive relationship between the length of marriage and marital satisfaction, meaning that as the length of marriage increases, there is a very slight tendency for marital satisfaction to increase as well.
d. Graph: The scatterplot will display points scattered around the horizontal line, indicating a weak positive correlation between the length of marriage and marital satisfaction.
3. r = +.55 between parent and child intelligence test scores.
a. The direction of the relationship: positive correlation.
b. The strength of the relationship: moderate positive correlation.
c. Verbal description: There is a moderate positive relationship between parent and child intelligence test scores, suggesting that higher scores of parents tend to be associated with higher scores of their children.
d. Graph: The scatterplot will show points clustering closely around a line that slopes positively, indicating a moderate positive correlation between parent and child intelligence test scores.
4. r = -.90 between amount of alcohol consumed and performance on a motor coordination task.
a. The direction of the relationship: negative correlation.
b. The strength of the relationship: strong negative correlation.
c. Verbal description: There is a strong negative relationship between the amount of alcohol consumed and performance on a motor coordination task, meaning that as the amount of alcohol consumed increases, motor coordination performance tends to decrease.
d. Graph: The scatterplot will show a steep downward sloping line, indicating a strong negative correlation between the amount of alcohol consumed and performance on a motor coordination task.
5. r = +.75 between amount of money won and the number of hot dogs purchased at race tracks.
a. The direction of the relationship: positive correlation.
b. The strength of the relationship: strong positive correlation.
c. Verbal description: There is a strong positive relationship between the amount of money won and the number of hot dogs purchased at race tracks, implying that as the amount of money won increases, the number of hot dogs purchased also tends to increase.
d. Graph: The scatterplot will show points clustering closely around a line that slopes positively, indicating a strong positive correlation between the amount of money won and the number of hot dogs purchased at race tracks.
6. r = +.67 between scores on a hyperactivity scale and an aggressiveness scale.
a. The direction of the relationship: positive correlation.
b. The strength of the relationship: moderate positive correlation.
c. Verbal description: There is a moderate positive relationship between scores on a hyperactivity scale and an aggressiveness scale, indicating that higher hyperactivity scores tend to be associated with higher aggressiveness scores.
d. Graph: The scatterplot will show points clustering closely around a line that slopes positively, indicating a moderate positive correlation between scores on a hyperactivity scale and an aggressiveness scale.
7. r = -.82 between a job applicant's age and likelihood of being hired.
a. The direction of the relationship: negative correlation.
b. The strength of the relationship: strong negative correlation.
c. Verbal description: There is a strong negative relationship between a job applicant's age and likelihood of being hired, suggesting that as age increases, the likelihood of being hired tends to decrease.
d. Graph: The scatterplot will show a steep downward sloping line, indicating a strong negative correlation between a job applicant's age and likelihood of being hired.
8. r = +.06 between the number of yearly predictions by psychics and the number of correct predictions.
a. The direction of the relationship: positive correlation.
b. The strength of the relationship: very weak positive correlation.
c. Verbal description: There is a very weak positive relationship between the number of yearly predictions by psychics and the number of correct predictions, meaning that as the number of yearly predictions increases, there is a slight tendency for the number of correct predictions to increase.
d. Graph: The scatterplot will display points scattered around the horizontal line, indicating a weak positive correlation between the number of yearly predictions by psychics and the number of correct predictions.