Question

use the overall trend of each scatter plot to make the predictions below.
drag the best choice to each white box.
1
a. when x = 9, y =
b. when y = 15, x =
2
a. when x = 2, y =
b. when y = 17, x =
3
a. when x = 12, y =
b. when y = 60, x =
drag these
8 18 5 13 32 40

Explanation:

Step1: Analyze Scatter Plot 1

- For part a: When \( x = 9 \), observe the trend. The points show a decreasing trend. At \( x = 3 \), \( y \approx 45 - 50 \); at \( x = 9 \), estimating from the trend, \( y \approx 30 \)? Wait, no, looking at the plot, when \( x = 9 \), the y - value should be around 30? Wait, the options are 8, 18, 5, 13, 32, 40. Wait, maybe I misread. Wait, Scatter Plot 1: x - axis 3, 9, 15, 21, 27. y - axis 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The points: at x = 3, y ~ 45 - 50; x = 9, y ~ 30? No, the options are 8, 18, 5, 13, 32, 40. Wait, maybe Scatter Plot 2: x from 1 - 10, y from 2 - 20. Scatter Plot 3: x 4, 8, 12, 16, 20; y 10 - 100.

Wait, let's re - examine:

Scatter Plot 1 (First Plot)

- a. When \( x = 9 \): The trend is negative (as x increases, y decreases). At \( x = 3 \), y is around 45 - 50; at \( x = 9 \), looking at the points, the y - value should be around 30? But the options are 8, 18, 5, 13, 32, 40. Wait, maybe I made a mistake. Wait, the options at the bottom: 8, 18, 5, 13, 32, 40.

Scatter Plot 2 (Middle Plot)

- a. When \( x = 2 \): The trend is positive (x increases, y increases). At \( x = 1 \), y = 8; at \( x = 2 \), y should be around 10 - 12? Wait, the options: 8, 18, 5, 13, 32, 40. Wait, at \( x = 1 \), y = 8; \( x = 2 \), y = 10 - 12, but the option 13? No, wait the option 12? No, the options are 8, 18, 5, 13, 32, 40. Wait, maybe Scatter Plot 2: at \( x = 2 \), y = 10 - 12, but the option 13 is close? No, maybe I'm wrong.

Scatter Plot 3 (Right Plot)

- a. When \( x = 12 \): The trend is negative (x increases, y decreases). At \( x = 8 \), y ~ 70; at \( x = 12 \), y ~ 55 - 60? Wait, the options: 8, 18, 5, 13, 32, 40. No, 40 is in the options. Wait, at \( x = 12 \), the y - value: looking at the plot, when \( x = 12 \), the two points are around 50 - 60? Wait, the option 40? No, maybe I'm misinterpreting.

Wait, let's try Scatter Plot 2, part a: When \( x = 2 \), the point at \( x = 1 \) is y = 8, \( x = 2 \) is y = 10 - 12, but the option 13? No, the option 18? No. Wait, maybe the correct approach is to match the options with the trends.

Scatter Plot 1, part b: When \( y = 15 \), find \( x \). Since y decreases as x increases, when y = 15, x should be around 15? But the options are 8, 18, 5, 13, 32, 40. No, 13? No.

Wait, maybe I should look at the options and the plots again.

Scatter Plot 3, part a: When \( x = 12 \)

The plot has a negative trend. At \( x = 8 \), y ~ 70; at \( x = 12 \), y ~ 50 - 60? No, the option 40 is there. Wait, the points at \( x = 12 \) are around 50 - 60? No, the option 40: maybe when \( x = 12 \), y = 50? No, the option 40 is a candidate.

Scatter Plot 2, part a: When \( x = 2 \)

The trend is positive. At \( x = 1 \), y = 8; \( x = 2 \), y = 10 - 12, but the option 13 is close. Wait, the option 18? No.

Scatter Plot 1, part a: When \( x = 9 \)

The trend is negative. At \( x = 3 \), y ~ 45; at \( x = 9 \), y ~ 30? But the options are 8, 18, 5, 13, 32, 40. 32 is close?

Wait, maybe the intended answers are:

Scatter Plot 1

a. When \( x = 9 \), \( y = 32 \) (closest to the trend of decreasing y as x increases, from y ~ 45 at x = 3 to y ~ 32 at x = 9)

b. When \( y = 15 \), \( x = 15 \)? No, the options are 8, 18, 5, 13, 32, 40. 13? No.

Scatter Plot 2

a. When \( x = 2 \), \( y = 10 - 12 \), but the option 13? No, 18? No. Wait, at \( x = 4 \), y = 14 - 16; \( x = 2 \), y = 10 - 12, so 13 is a good estimate.

b. When \( y = 17 \), \( x = 5 - 6 \), so 5? No, 8? Wait, the option 8? No, the x - axis is 1 - 10. If y = 17, x is around 5 - 6, so 5? No, the option 8? No, 18? No.

Scatter Plot 3

a. When \( x = 12 \), \( y = 50 - 60 \), but the option 40? No, 50? No, the option 40 is there. Wait, the points at \( x = 12 \) are around 50 - 60, but 40 is an option. Maybe I'm wrong.

Wait, let's try a different approach. The options are 8, 18, 5, 13, 32, 40.

Scatter Plot 2, part a: \( x = 2 \)

The point at \( x = 1 \) is y = 8, \( x = 2 \) is y = 10 - 12, so 13 is the closest option.

Scatter Plot 2, part b: \( y = 17 \)

The points at y = 17 are around \( x = 5 - 6 \), but the option 5? No, 8? No, 18? No. Wait, the option 8? No.

Scatter Plot 3, part a: \( x = 12 \)

The points at \( x = 12 \) are around y = 50 - 60, but 40 is an option. Maybe the trend is negative, so as x increases, y decreases. At \( x = 4 \), y ~ 80; \( x = 8 \), y ~ 70; \( x = 12 \), y ~ 50; \( x = 16 \), y ~ 40 - 50; \( x = 20 \), y ~ 30 - 40. So when \( x = 12 \), y = 50 - 60, but 40 is an option. Maybe 40 is the answer.

Scatter Plot 3, part b: \( y = 60 \)

Find x when y = 60. Looking at the plot, when y = 60, x is around 8 - 10? Wait, the x - axis is 4, 8, 12, 16, 20. At y = 60, x is around 8? No, 8? Wait, the points at y = 60: looking at the plot, when y = 60, x is around 8? No, 12? No. Wait, the trend is negative, so as y decreases, x increases. At y = 80, x = 4; y = 70, x = 4 - 8; y = 60, x = 8 - 12? No, 8?

Wait, maybe the correct answers are:

Scatter Plot 1

a. \( x = 9 \), \( y = 32 \)

b. \( y = 15 \), \( x = 15 \) (but 15 is not an option. Wait, the options are 8, 18, 5, 13, 32, 40. So 13? No.

Scatter Plot 2

a. \( x = 2 \), \( y = 13 \)

b. \( y = 17 \), \( x = 5 \) (but 5 is an option)

Scatter Plot 3

a. \( x = 12 \), \( y = 40 \)

b. \( y = 60 \), \( x = 8 \)

Now, let's check the options:

- 8, 18, 5, 13, 32, 40.

So:

Scatter Plot 1a: 32

Scatter Plot 1b: 15 is not an option, so maybe 13? No.

Scatter Plot 2a: 13

Scatter Plot 2b: 5

Scatter Plot 3a: 40

Scatter Plot 3b: 8

Let's verify Scatter Plot 3b: When \( y = 60 \), looking at the plot, the x - value is around 8 (since at x = 8, y is around 70; at x = 12, y is around 50 - 60? No, I'm confused.

Wait, maybe the correct answers are:

1a. 32, 1b. 15 (not an option, so maybe 13)

2a. 13, 2b. 5

3a. 40, 3b. 8

Answer:

Scatter Plot 1

a. \( y = 32 \)

b. \( x = 13 \) (approximate)

Scatter Plot 2

a. \( y = 13 \)

b. \( x = 5 \)

Scatter Plot 3

a. \( y = 40 \)

b. \( x = 8 \)

(Note: These are approximate answers based on the trend of the scatter plots and the given options.)