Question
Use the image to answer the question.
Twelve points are plotted in a scattered increasing curved pattern in the first quadrant of a coordinate plane with x and y axes. The x-axis is labeled as Time Spent Studying and y-axis as Scores on a Test.
Based on the data, which of the following choices would be the best estimated correlation coefficient?
1
1
−0.98
negative 0.98
0.75
0.75
0.98
Twelve points are plotted in a scattered increasing curved pattern in the first quadrant of a coordinate plane with x and y axes. The x-axis is labeled as Time Spent Studying and y-axis as Scores on a Test.
Based on the data, which of the following choices would be the best estimated correlation coefficient?
1
1
−0.98
negative 0.98
0.75
0.75
0.98
Answers
GPT-4o mini
Based on the description of the twelve points plotted in a scattered increasing curved pattern in the first quadrant, it suggests a strong positive correlation where as one variable (Time Spent Studying) increases, the other variable (Scores on a Test) also increases.
Given the options:
- 1 suggests a perfect positive correlation.
- -0.98 suggests a strong negative correlation.
- 0.75 indicates a moderate positive correlation.
- 0.98 indicates a very strong positive correlation.
Since the pattern is described as increasingly curving upwards, the best estimated correlation coefficient would be 0.98, as it indicates a very strong positive relationship between the time spent studying and the scores on the test.
So, the best answer is **0.98**.
Given the options:
- 1 suggests a perfect positive correlation.
- -0.98 suggests a strong negative correlation.
- 0.75 indicates a moderate positive correlation.
- 0.98 indicates a very strong positive correlation.
Since the pattern is described as increasingly curving upwards, the best estimated correlation coefficient would be 0.98, as it indicates a very strong positive relationship between the time spent studying and the scores on the test.
So, the best answer is **0.98**.