Scatter Plot Worksheet For questions 1-3 a. Identify the ... - Free Printable

I'll work through this scatter plot worksheet step by step.

## Questions 1-3: Identify correlation and describe real-life situations

Question 1:
- a. The points show a negative correlation (as x increases, y decreases)
- b. Real-life example: As the number of hours spent watching TV increases, test scores decrease.

Question 2:
- a. The points show no correlation (the points are scattered randomly with no clear pattern)
- b. Real-life example: There's no relationship between shoe size and IQ score.

Question 3:
- a. The points show a positive correlation (as x increases, y increases)
- b. Real-life example: As study time increases, grades improve.

## Question 4: Create scatter plot for homeowners data

Let me organize the data first:
- 1997-98: Homeowners = 2,050, Vacation = 973
- 1996-97: Homeowners = 1,987, Vacation = 967
- 1995-96: Homeowners = 1,948, Vacation = 1,041
- 1994-95: Homeowners = 1,897, Vacation = 1,043
- 1993-94: Homeowners = 1,862, Vacation = 1,125
- 1992-93: Homeowners = 1,832, Vacation = 1,126

To create the scatter plot, I would:
- Put Homeowners on one axis (x-axis) and Vacation Homeowners on the other axis (y-axis)
- Plot each year as a point using these coordinates
- Looking at the data: As regular homeowners increase, vacation homeowners tend to decrease slightly
- This shows a negative trend
- A trend line would slope downward from left to right

## Questions 5-7: Determine if linear pattern exists and find equation

Question 5:
Looking at the points: (-2, 2), (-1, 6), (0, 10), (1, 14), (2, 18), (3, 22)

Let me check if there's a constant rate of change:
- From (-2, 2) to (-1, 6): Δy/Δx = (6-2)/(-1-(-2)) = 4/1 = 4
- From (-1, 6) to (0, 10): Δy/Δx = (10-6)/(0-(-1)) = 4/1 = 4
- From (0, 10) to (1, 14): Δy/Δx = (14-10)/(1-0) = 4/1 = 4
- From (1, 14) to (2, 18): Δy/Δx = (18-14)/(2-1) = 4/1 = 4
- From (2, 18) to (3, 22): Δy/Δx = (22-18)/(3-2) = 4/1 = 4

Yes, it's linear! Slope = 4

Using point-slope form with point (0, 10):
y - 10 = 4(x - 0)
y = 4x + 10

Question 6:
Looking at the points, they appear to be at approximately: (-2, 3), (-1, 2), (0, 1), (1, 0), (2, -1), (3, -2)

Let me check the rate of change:
- From (-2, 3) to (-1, 2): Δy/Δx = (2-3)/(-1-(-2)) = -1/1 = -1
- From (-1, 2) to (0, 1): Δy/Δx = (1-2)/(0-(-1)) = -1/1 = -1
- From (0, 1) to (1, 0): Δy/Δx = (0-1)/(1-0) = -1/1 = -1
- From (1, 0) to (2, -1): Δy/Δx = (-1-0)/(2-1) = -1/1 = -1
- From (2, -1) to (3, -2): Δy/Δx = (-2-(-1))/(3-2) = -1/1 = -1

Yes, it's linear! Slope = -1

The y-intercept is at (0, 1), so:
y = -x + 1

Question 7:
Looking at the points, they appear to be at approximately: (-4, 10), (-3, 20), (-2, 30), (-1, 40), (0, 50), (1, 60), (2, 70), (3, 80), (4, 90)

Let me check the rate of change:
- From (-4, 10) to (-3, 20): Δy/Δx = (20-10)/(-3-(-4)) = 10/1 = 10
- From (-3, 20) to (-2, 30): Δy/Δx = (30-20)/(-2-(-3)) = 10/1 = 10
- From (-2, 30) to (-1, 40): Δy/Δx = (40-30)/(-1-(-2)) = 10/1 = 10
- From (-1, 40) to (0, 50): Δy/Δx = (50-40)/(0-(-1)) = 10/1 = 10
- From (0, 50) to (1, 60): Δy/Δx = (60-50)/(1-0) = 10/1 = 10

Yes, it's linear! Slope = 10

The y-intercept is at (0, 50), so:
y = 10x + 50

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Final Answer:

1a. Negative correlation
1b. Example: More hours watching TV → lower test scores

2a. No correlation
2b. Example: Shoe size has no relationship with IQ

3a. Positive correlation
3b. Example: More study time → better grades

4. Plot the 6 data points with Homeowners on x-axis and Vacation Homeowners on y-axis. Draw a downward-sloping trend line (negative correlation).

5. Yes, linear pattern. Equation: y = 4x + 10

6. Yes, linear pattern. Equation: y = -x + 1

7. Yes, linear pattern. Equation: y = 10x + 50