Question

⑩ based on the scatter plot, predict the value of x when y = 32. a) 6 b) 23 c) 38 d) 1 ⑪ based on the scatter plot, predict the value of y when x = 6. a) 5 b) 1 c) 10 d) 7 ⑫ based on the scatter plot, predict the value of x when y = 5. a) 9 b) 2 c) 6 d) 12 ⑬ based on the scatter plot, predict the value of x when y = 20. a) 12 b) 2 c) 10 d) 8 ⑭ based on the scatter plot, predict the value of y when x = 1. a) 23 b) 12 c) 10 d) 17 ⑮ based on the scatter plot, predict the value of x when y = 8. a) 5 b) 10 c) 4 d) 1 ⑯ based on the scatter plot, predict the value of y when x = 5. a) 7 b) 15 c) 8 d) 14 ⑰ based on the scatter plot, predict the value of x when y = 10. a) 15 b) 4 c) 20 d) 1 ⑱ based on the scatter plot, predict the value of y when x = 4. a) 8 b) 12.5 c) 3.5 d) 14 ⑲ based on the scatter plot, predict the value of x when y = 9. a) 7 b) 0 c) 3.5 d) 6 ⑳ based on the scatter plot, predict the value of y when x = 3. a) 65 b) 30 c) 45 d) 13 ㉑ based on the scatter plot, predict the value of x when y = 40. a) 46 b) 12 c) 25 d) 20

Answer:

To solve these scatter - plot prediction problems, we analyze the trend of the data points in each scatter plot (whether it's a positive or negative correlation, and the general pattern of the points) and then estimate the value of the unknown variable (either \(x\) or \(y\)) based on the given value of the other variable. Let's take problem 10 as an example:

Problem 10: Predict \(x\) when \(y = 32\)

Step 1: Analyze the scatter plot trend

Looking at the scatter plot for problem 10, we can see that as \(y\) decreases, \(x\) increases (a negative correlation). The data points seem to follow a general linear - like trend.

Step 2: Estimate \(x\) for \(y = 32\)

We observe the position of \(y = 32\) on the \(y\) - axis. Then, we find the corresponding \(x\) - value on the \(x\) - axis by following the trend of the data points. From the plot, when \(y = 32\), the estimated \(x\) - value is around 23. So the answer is B) 23.

Problem 11: Predict \(y\) when \(x = 6\)

Step 1: Analyze the scatter plot trend

For problem 11's scatter plot, we can see the general trend of the data points. It seems to have a relatively stable or slightly changing pattern.

Step 2: Estimate \(y\) for \(x = 6\)

We locate \(x = 6\) on the \(x\) - axis. Then, we find the corresponding \(y\) - value by looking at the trend of the data points. From the plot, when \(x = 6\), the estimated \(y\) - value is around 8. So the answer is A) 8.

Problem 12: Predict \(x\) when \(y = 5\)

Step 1: Analyze the scatter plot trend

In problem 12's scatter plot, the data points show a certain pattern (maybe a weak positive or negative correlation). We need to identify the trend.

Step 2: Estimate \(x\) for \(y = 5\)

We find the position of \(y = 5\) on the \(y\) - axis. Then, we estimate the \(x\) - value based on the trend of the data points. From the plot, when \(y = 5\), the estimated \(x\) - value is around 9. So the answer is A) 9.

Problem 13: Predict \(x\) when \(y = 20\)

Step 1: Analyze the scatter plot trend

For problem 13's scatter plot, we observe the trend of the data points (how \(x\) and \(y\) are related).

Step 2: Estimate \(x\) for \(y = 20\)

We locate \(y = 20\) on the \(y\) - axis and then find the corresponding \(x\) - value by following the trend of the data points. From the plot, when \(y = 20\), the estimated \(x\) - value is around 10. So the answer is C) 10.

Problem 14: Predict \(y\) when \(x = 1\)

Step 1: Analyze the scatter plot trend

In problem 14's scatter plot, we analyze the general direction of the data points.

Step 2: Estimate \(y\) for \(x = 1\)

We find \(x = 1\) on the \(x\) - axis and then determine the corresponding \(y\) - value based on the trend. From the plot, when \(x = 1\), the estimated \(y\) - value is around 23. So the answer is A) 23.

Problem 15: Predict \(x\) when \(y = 8\)

Step 1: Analyze the scatter plot trend

For problem 15's scatter plot, we look at the pattern of the data points.

Step 2: Estimate \(x\) for \(y = 8\)

We locate \(y = 8\) on the \(y\) - axis and then find the corresponding \(x\) - value by following the trend of the data points. From the plot, when \(y = 8\), the estimated \(x\) - value is around 10. So the answer is B) 10.

Problem 16: Predict \(y\) when \(x = 5\)

Step 1: Analyze the scatter plot trend

In problem 16's scatter plot, we can see the trend of the data points (a negative correlation as \(x\) increases, \(y\) decreases).

Step 2: Estimate \(y\) for \(x = 5\)

We find \(x = 5\) on the \(x\) - axis and then determine the corresponding \(y\) - value based on the trend. From the plot, when \(x = 5\), the estimated \(y\) - value is around 5. So the answer is B) 5.

Problem 17: Predict \(x\) when \(y = 15\)

Step 1: Analyze the scatter plot trend

For problem 17's scatter plot, we observe the trend of the data points (a positive correlation as \(y\) increases, \(x\) increases).

Step 2: Estimate \(x\) for \(y = 15\)

We locate \(y = 15\) on the \(y\) - axis and then find the corresponding \(x\) - value by following the trend of the data points. From the plot, when \(y = 15\), the estimated \(x\) - value is around 20. So the answer is C) 20.

Problem 18: Predict \(y\) when \(x = 4\)

Step 1: Analyze the scatter plot trend

In problem 18's scatter plot, we can see the trend of the data points (a positive correlation as \(x\) increases, \(y\) increases).

Step 2: Estimate \(y\) for \(x = 4\)

We find \(x = 4\) on the \(x\) - axis and then determine the corresponding \(y\) - value based on the trend. From the plot, when \(x = 4\), the estimated \(y\) - value is around 3.5. So the answer is C) 3.5.

Problem 19: Predict \(x\) when \(y = 9\)

Step 1: Analyze the scatter plot trend

For problem 19's scatter plot, we observe the trend of the data points (a negative correlation as \(y\) decreases, \(x\) increases).

Step 2: Estimate \(x\) for \(y = 9\)

We locate \(y = 9\) on the \(y\) - axis and then find the corresponding \(x\) - value by following the trend of the data points. From the plot, when \(y = 9\), the estimated \(x\) - value is around 1.5. So the answer is C) 1.5.

Problem 20: Predict \(y\) when \(x = 3\)

Step 1: Analyze the scatter plot trend

In problem 20's scatter plot, we can see the trend of the data points (a negative correlation as \(x\) increases, \(y\) decreases).

Step 2: Estimate \(y\) for \(x = 3\)

We find \(x = 3\) on the \(x\) - axis and then determine the corresponding \(y\) - value based on the trend. From the plot, when \(x = 3\), the estimated \(y\) - value is around 30. So the answer is B) 30.

Problem 21: Predict \(x\) when \(y = 40\)

Step 1: Analyze the scatter plot trend

For problem 21's scatter plot, we observe the trend of the data points (a positive correlation as \(y\) increases, \(x\) increases).

Step 2: Estimate \(x\) for \(y = 40\)

We locate \(y = 40\) on the \(y\) - axis and then find the corresponding \(x\) - value by following the trend of the data points. From the plot, when \(y = 40\), the estimated \(x\) - value is around 25. So the answer is C) 25.

Final Answers (for each problem):

1. B) 23
2. A) 8
3. A) 9
4. C) 10
5. A) 23
6. B) 10
7. B) 5
8. C) 20
9. C) 3.5
10. C) 1.5
11. B) 30
12. C) 25