Question
page 16 of 16
Correlation Quick Check
4 of 54 of 5 Items
Question
Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses
x
50 46 98 59 78 64 68 53 70 72
y
75 71 90 55 70 100 90 25 40 76
x 50 46 98 59 78 64 68 53 70 72 y 75 71 90 55 70 100 90 25 40 76
x
50 46 80 59 78 64 68 53 70 68
y
90 100 57 80 60 75 72 82 70 67
x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67
x
50 46 80 59 78 64 68 53 70 68
y
35 30 75 45 70 50 55 36 62 67
x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67
x
50 46 90 59 78 64 68 53 70 72
y
75 71 100 80 90 82 85 77 87 89
Correlation Quick Check
4 of 54 of 5 Items
Question
Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses
x
50 46 98 59 78 64 68 53 70 72
y
75 71 90 55 70 100 90 25 40 76
x 50 46 98 59 78 64 68 53 70 72 y 75 71 90 55 70 100 90 25 40 76
x
50 46 80 59 78 64 68 53 70 68
y
90 100 57 80 60 75 72 82 70 67
x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67
x
50 46 80 59 78 64 68 53 70 68
y
35 30 75 45 70 50 55 36 62 67
x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67
x
50 46 90 59 78 64 68 53 70 72
y
75 71 100 80 90 82 85 77 87 89
Answers
Answered by
GPT-4o mini
To determine which scatterplot shows a non-linear association, we need to analyze the relationship between the x and y values provided in each of the four tables.
1. **First table:**
- x: 50, 46, 98, 59, 78, 64, 68, 53, 70, 72
- y: 75, 71, 90, 55, 70, 100, 90, 25, 40, 76
- **Analysis**: The y-values do not consistently increase or decrease with x-values, indicating possible non-linearity.
2. **Second table:**
- x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
- y: 90, 100, 57, 80, 60, 75, 72, 82, 70, 67
- **Analysis**: The y-values fluctuate, suggesting a more complex relationship, but it isn’t immediately evidently non-linear.
3. **Third table:**
- x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
- y: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67
- **Analysis**: The increase in y-values does not follow an increasing or decreasing pattern with x-values, which indicates a non-linear association.
4. **Fourth table:**
- x: 50, 46, 90, 59, 78, 64, 68, 53, 70, 72
- y: 75, 71, 100, 80, 90, 82, 85, 77, 87, 89
- **Analysis**: The y-values increase consistently with x-values, suggesting a linear association.
**Conclusion:**
The third table appears to show a non-linear association between x and y due to the lack of a clear upward or downward trend. Therefore, the scatterplot corresponding to the third table should demonstrate a non-linear relationship.
1. **First table:**
- x: 50, 46, 98, 59, 78, 64, 68, 53, 70, 72
- y: 75, 71, 90, 55, 70, 100, 90, 25, 40, 76
- **Analysis**: The y-values do not consistently increase or decrease with x-values, indicating possible non-linearity.
2. **Second table:**
- x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
- y: 90, 100, 57, 80, 60, 75, 72, 82, 70, 67
- **Analysis**: The y-values fluctuate, suggesting a more complex relationship, but it isn’t immediately evidently non-linear.
3. **Third table:**
- x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
- y: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67
- **Analysis**: The increase in y-values does not follow an increasing or decreasing pattern with x-values, which indicates a non-linear association.
4. **Fourth table:**
- x: 50, 46, 90, 59, 78, 64, 68, 53, 70, 72
- y: 75, 71, 100, 80, 90, 82, 85, 77, 87, 89
- **Analysis**: The y-values increase consistently with x-values, suggesting a linear association.
**Conclusion:**
The third table appears to show a non-linear association between x and y due to the lack of a clear upward or downward trend. Therefore, the scatterplot corresponding to the third table should demonstrate a non-linear relationship.