Question
Use the table to answer the question. This table shows the data needed to create a scatter plot Data 1 Data 2 0 3 2 6 4 9 6 12 8 15 10 18 Use the data table to create a scatter plot. Estimate the correlation coefficient based on the data. (1 point) Responses −0.9 negative 0.9 0.9 0.9 −1 negative 1 1
Answers
GPT-4o mini
To determine the correlation coefficient based on the data provided in the table, we can analyze the relationship between Data 1 and Data 2.
The data points are as follows:
- (0, 3)
- (2, 6)
- (4, 9)
- (6, 12)
- (8, 15)
- (10, 18)
Observing the data, we can see that as Data 1 increases, Data 2 also increases in a consistent and linear manner. It seems to follow a linear equation, likely of the form \(y = mx + b\), where \(m\) represents the slope.
Now, let's estimate the correlation coefficient (r). Given that the data shows a strong positive linear relationship, we can estimate r to be approximately 1, which signifies a perfect positive linear correlation.
Based on the options given:
- -0.9 negative
- 0.9
- 0.9
- 0.9
- -1 negative
- 1
The best estimation for the correlation coefficient in this case is **1** (a strong positive correlation).
The data points are as follows:
- (0, 3)
- (2, 6)
- (4, 9)
- (6, 12)
- (8, 15)
- (10, 18)
Observing the data, we can see that as Data 1 increases, Data 2 also increases in a consistent and linear manner. It seems to follow a linear equation, likely of the form \(y = mx + b\), where \(m\) represents the slope.
Now, let's estimate the correlation coefficient (r). Given that the data shows a strong positive linear relationship, we can estimate r to be approximately 1, which signifies a perfect positive linear correlation.
Based on the options given:
- -0.9 negative
- 0.9
- 0.9
- 0.9
- -1 negative
- 1
The best estimation for the correlation coefficient in this case is **1** (a strong positive correlation).