Question

name______
i) classify the scatter plots as having a positive, negative, or no correlation.
scatter plots 1-6
ii) classify the above (1) to (6) as strong, moderate, weak or no correlation.
iii) plot the following data as a scatter graph.
table: hours slept (8,7,7,8,6,5,7,6,9,7) and test score (83,86,74,88,76,63,90,60,89,81)
a) classify the correlation as positive or negative or no correlation.
b) if there is correlation, is it linear or non linear?
is it strong, moderate or weak?
grid for plotting: x-axis # of hours slept, y-axis test score

Explanation:

Part I: Classify Scatter Plots (Correlation Direction)

1. Plot 1: Points are randomly scattered, no upward/downward trend. → No Correlation
2. Plot 2: As x increases, y decreases (downward trend). → Negative Correlation
3. Plot 3: Points show a loose upward trend. → Positive Correlation (weak)
4. Plot 4: Points cluster closely in an upward trend. → Positive Correlation (strong)
5. Plot 5: Points cluster closely in a downward trend. → Negative Correlation (strong)
6. Plot 6: Points are randomly scattered, no trend. → No Correlation

Part II: Classify Correlation Strength

• Plot 1: No Correlation (points random)
• Plot 2: Moderate Negative (trend visible but not tight)
• Plot 3: Weak Positive (trend loose)
• Plot 4: Strong Positive (points tightly clustered)
• Plot 5: Strong Negative (points tightly clustered)
• Plot 6: No Correlation (points random)

Part III: Scatter Plot for Hours Slept vs. Test Score

Step 1: Plot Points

• Hours Slept (x): 8, 7, 7, 8, 6, 5, 7, 4, 9, 7
• Test Score (y): 83, 86, 74, 88, 76, 63, 90, 60, 89, 81

Plot each (x, y) pair on the grid (x-axis: Hours Slept, y-axis: Test Score).

3a: Correlation Direction

As hours slept (x) increases, test score (y) generally increases (e.g., 4 hours → 60, 9 hours → 89). → Positive Correlation

3b: Linear vs. Non-Linear

The points follow a roughly straight-line trend (no curves). → Linear Correlation

3c: Correlation Strength

Points are somewhat clustered but not extremely tight (e.g., 7 hours has scores 86, 74, 90, 81). → Moderate Positive Correlation

Final Answers (Summarized)

I) Correlation Direction:

1. No Correlation
2. Negative Correlation
3. Positive Correlation
4. Positive Correlation
5. Negative Correlation
6. No Correlation

II) Correlation Strength:

1. No Correlation
2. Moderate Negative
3. Weak Positive
4. Strong Positive
5. Strong Negative
6. No Correlation

III)

a) Positive Correlation
b) Linear Correlation
c) Moderate Positive Correlation

Answer:

Part I: Classify Scatter Plots (Correlation Direction)

1. Plot 1: Points are randomly scattered, no upward/downward trend. → No Correlation
2. Plot 2: As x increases, y decreases (downward trend). → Negative Correlation
3. Plot 3: Points show a loose upward trend. → Positive Correlation (weak)
4. Plot 4: Points cluster closely in an upward trend. → Positive Correlation (strong)
5. Plot 5: Points cluster closely in a downward trend. → Negative Correlation (strong)
6. Plot 6: Points are randomly scattered, no trend. → No Correlation

Part II: Classify Correlation Strength

• Plot 1: No Correlation (points random)
• Plot 2: Moderate Negative (trend visible but not tight)
• Plot 3: Weak Positive (trend loose)
• Plot 4: Strong Positive (points tightly clustered)
• Plot 5: Strong Negative (points tightly clustered)
• Plot 6: No Correlation (points random)

Part III: Scatter Plot for Hours Slept vs. Test Score

Step 1: Plot Points

• Hours Slept (x): 8, 7, 7, 8, 6, 5, 7, 4, 9, 7
• Test Score (y): 83, 86, 74, 88, 76, 63, 90, 60, 89, 81

Plot each (x, y) pair on the grid (x-axis: Hours Slept, y-axis: Test Score).

3a: Correlation Direction

As hours slept (x) increases, test score (y) generally increases (e.g., 4 hours → 60, 9 hours → 89). → Positive Correlation

3b: Linear vs. Non-Linear

The points follow a roughly straight-line trend (no curves). → Linear Correlation

3c: Correlation Strength

Points are somewhat clustered but not extremely tight (e.g., 7 hours has scores 86, 74, 90, 81). → Moderate Positive Correlation

Final Answers (Summarized)

I) Correlation Direction:

1. No Correlation
2. Negative Correlation
3. Positive Correlation
4. Positive Correlation
5. Negative Correlation
6. No Correlation

II) Correlation Strength:

1. No Correlation
2. Moderate Negative
3. Weak Positive
4. Strong Positive
5. Strong Negative
6. No Correlation

III)

a) Positive Correlation
b) Linear Correlation
c) Moderate Positive Correlation