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Scatter Plots, Correlation & Residuals — Easy Worksheet 2
Grade 9 · MathSheets Name: ____________________ Date: __________
Answer each question. Describe correlation as positive, negative, or none.
How to solve
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Example
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
Answer: negative
Not quite. The answer is
💡 The points are scattered all over with no upward or downward trend, so there is no correlation: none.
✓ Correct!
Not quite. The answer is
💡 The points are scattered all over with no upward or downward trend, so there is no correlation: none.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Substitute x = 12 into the line of fit: y = 3(12) + 13 = 36 + 13 = 49. So the predicted number of items sold is 49.
✓ Correct!
Not quite. The answer is
💡 Substitute x = 12 into the line of fit: y = 3(12) + 13 = 36 + 13 = 49. So the predicted number of items sold is 49.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Read the points from left to right: they go down. As x gets bigger, y tends to get smaller, so the correlation is negative.
✓ Correct!
Not quite. The answer is
💡 Read the points from left to right: they go down. As x gets bigger, y tends to get smaller, so the correlation is negative.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 13 |
| 2 | 9 |
| 3 | 16 |
| 4 | 15 |
Not quite. The answer is
💡 The line predicts y = 3(1) + 7 = 3 + 7 = 10 when x = 1. The table shows the actual y = 13. Residual = actual − predicted = 13 − 10 = 3.
✓ Correct!
Not quite. The answer is
💡 The line predicts y = 3(1) + 7 = 3 + 7 = 10 when x = 1. The table shows the actual y = 13. Residual = actual − predicted = 13 − 10 = 3.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Read the points from left to right: they go up. As x gets bigger, y tends to get bigger, so the correlation is positive.
✓ Correct!
Not quite. The answer is
💡 Read the points from left to right: they go up. As x gets bigger, y tends to get bigger, so the correlation is positive.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Substitute x = 6 into the line of fit: y = 3(6) + 53 = 18 + 53 = 71. So the predicted test score is 71.
✓ Correct!
Not quite. The answer is
💡 Substitute x = 6 into the line of fit: y = 3(6) + 53 = 18 + 53 = 71. So the predicted test score is 71.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The points are scattered all over with no upward or downward trend, so there is no correlation: none.
✓ Correct!
Not quite. The answer is
💡 The points are scattered all over with no upward or downward trend, so there is no correlation: none.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 13 |
| 2 | 16 |
| 3 | 19 |
| 4 | 20 |
Not quite. The answer is
💡 The line predicts y = 2(1) + 9 = 2 + 9 = 11 when x = 1. The table shows the actual y = 13. Residual = actual − predicted = 13 − 11 = 2.
✓ Correct!
Not quite. The answer is
💡 The line predicts y = 2(1) + 9 = 2 + 9 = 11 when x = 1. The table shows the actual y = 13. Residual = actual − predicted = 13 − 11 = 2.
💡 How to solve: Scatter Plots, Correlation & Residuals
If the points rise from left to right the correlation is positive; if they fall it is negative; with no pattern there is none. The correlation coefficient r is between -1 and 1 and is close to 1 or -1 when the points lie close to a line. A residual is the actual y-value minus the y-value the line of fit predicts.
Try a similar one
Does the scatter plot show a positive correlation, a negative correlation, or no correlation (none)?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Scatter Plots, Correlation & Residuals — Easy Worksheet 2
Answer each question. Describe correlation as positive, negative, or none.