Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution. 3.00¬ 2.00- 1.00- 0.00- -1.00- -2.00- -3.00+ 60 80 100 12o 140 X Does the normal quantile plot depict sample data from a population with a normal distribution? A. Yes. The pattern of the points is reasonably close to a straight line. B. No. The points do not lie close to a straight line. C. No. The points exhibit some systematic pattern that is not a straight-line pattern. D. Yes. The points are evenly distributed above and below the mean, 0.
Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution. 3.00¬ 2.00- 1.00- 0.00- -1.00- -2.00- -3.00+ 60 80 100 12o 140 X Does the normal quantile plot depict sample data from a population with a normal distribution? A. Yes. The pattern of the points is reasonably close to a straight line. B. No. The points do not lie close to a straight line. C. No. The points exhibit some systematic pattern that is not a straight-line pattern. D. Yes. The points are evenly distributed above and below the mean, 0.
MATLAB: An Introduction with Applications
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Question
#### Graph Analysis
The graph on the right is a normal quantile plot, also known as a Q-Q (quantile-quantile) plot. It is used to determine if a dataset follows a particular distribution, in this case, the normal (Gaussian) distribution. In the plot:
- **X-axis** represents the data points.
- **Y-axis** represents the quantiles of the normal distribution.
- **Blue dots** are the observed data points.
- **Red line** represents the expected normal distribution.
The alignment of the points along the red line indicates how closely the data follows a normal distribution.
#### Question
**Does the normal quantile plot depict sample data from a population with a normal distribution?**
**Options:**
- **A. Yes. The pattern of the points is reasonably close to a straight line.**
- **B. No. The points do not lie close to a straight line.**
- **C. No. The points exhibit some systematic pattern that is not a straight-line pattern.**
- **D. Yes. The points are evenly distributed above and below the mean, 0.**
### Answer Analysis
To answer this question, let's consider the alignment of the blue dots with the red line in the plot:
- **Option A:** This option suggests that if the points closely follow the red line, then the data comes from a normal distribution.
- **Option B:** This option suggests that if the points do not follow the red line closely, then the data does not come from a normal distribution.
- **Option C:** This option suggests a systematic pattern that deviates from the straight line indicates the data is not normally distributed.
- **Option D:** This option emphasizes the equal distribution of points above and below the mean, 0, along the line.
### Correct Answer
- **A. Yes. The pattern of the points is reasonably close to a straight line.**
In the given plot, the points (blue dots) follow the straight line (red line) quite closely, indicating that the data is reasonably consistent with a normal distribution. Hence, option A is the correct choice.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4f48b8-ad6a-4fd5-bfc6-01337edf5aa9%2Fcb94fb19-7681-4086-ae54-bb4ac66666f5%2Fhzhw6n_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Normal Quantile Plots
**Examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution.**
#### Graph Analysis
The graph on the right is a normal quantile plot, also known as a Q-Q (quantile-quantile) plot. It is used to determine if a dataset follows a particular distribution, in this case, the normal (Gaussian) distribution. In the plot:
- **X-axis** represents the data points.
- **Y-axis** represents the quantiles of the normal distribution.
- **Blue dots** are the observed data points.
- **Red line** represents the expected normal distribution.
The alignment of the points along the red line indicates how closely the data follows a normal distribution.
#### Question
**Does the normal quantile plot depict sample data from a population with a normal distribution?**
**Options:**
- **A. Yes. The pattern of the points is reasonably close to a straight line.**
- **B. No. The points do not lie close to a straight line.**
- **C. No. The points exhibit some systematic pattern that is not a straight-line pattern.**
- **D. Yes. The points are evenly distributed above and below the mean, 0.**
### Answer Analysis
To answer this question, let's consider the alignment of the blue dots with the red line in the plot:
- **Option A:** This option suggests that if the points closely follow the red line, then the data comes from a normal distribution.
- **Option B:** This option suggests that if the points do not follow the red line closely, then the data does not come from a normal distribution.
- **Option C:** This option suggests a systematic pattern that deviates from the straight line indicates the data is not normally distributed.
- **Option D:** This option emphasizes the equal distribution of points above and below the mean, 0, along the line.
### Correct Answer
- **A. Yes. The pattern of the points is reasonably close to a straight line.**
In the given plot, the points (blue dots) follow the straight line (red line) quite closely, indicating that the data is reasonably consistent with a normal distribution. Hence, option A is the correct choice.
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