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Scatter Plots, Correlation & Residuals — Easy Worksheet 1
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
💡 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.
Not quite. The answer is
💡 Substitute x = 7 into the line of fit: y = 3(7) + 29 = 21 + 29 = 50. So the predicted number of items sold is 50.
✓ Correct!
Not quite. The answer is
💡 Substitute x = 7 into the line of fit: y = 3(7) + 29 = 21 + 29 = 50. So the predicted number of items sold is 50.
💡 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.
| x | y |
|---|---|
| 1 | 13 |
| 2 | 12 |
| 3 | 18 |
| 4 | 26 |
Not quite. The answer is
💡 The line predicts y = 4(3) + 7 = 12 + 7 = 19 when x = 3. The table shows the actual y = 18. Residual = actual − predicted = 18 − 19 = −1.
✓ Correct!
Not quite. The answer is
💡 The line predicts y = 4(3) + 7 = 12 + 7 = 19 when x = 3. The table shows the actual y = 18. Residual = actual − predicted = 18 − 19 = −1.
💡 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.
Not quite. The answer is
💡 Substitute x = 3 into the line of fit: y = 2(3) + 10 = 6 + 10 = 16. So the predicted number of items sold is 16.
✓ Correct!
Not quite. The answer is
💡 Substitute x = 3 into the line of fit: y = 2(3) + 10 = 6 + 10 = 16. So the predicted number of items sold is 16.
💡 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 | 12 |
| 2 | 13 |
| 3 | 19 |
| 4 | 23 |
Not quite. The answer is
💡 The line predicts y = 4(1) + 4 = 4 + 4 = 8 when x = 1. The table shows the actual y = 12. Residual = actual − predicted = 12 − 8 = 4.
✓ Correct!
Not quite. The answer is
💡 The line predicts y = 4(1) + 4 = 4 + 4 = 8 when x = 1. The table shows the actual y = 12. Residual = actual − predicted = 12 − 8 = 4.
💡 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 1
Answer each question. Describe correlation as positive, negative, or none.