What type of data visualization method is typically color-coded to represent different values?
- Heatmap
- Histogram
- Line plot
- Scatter plot
Heatmaps are typically color-coded to represent different values. In a heatmap, data values are represented as colors, making it an excellent tool for visualizing large amounts of data and the correlation between different variables.
What is the potential disadvantage of using listwise deletion for handling missing data?
- It causes overfitting
- It discards valuable data
- It introduces random noise
- It leads to multicollinearity
The potential disadvantage of using listwise deletion for handling missing data is that it can discard valuable data. If the missing values are not completely random, discarding the entire observation might lead to biased or incorrect results because it might exclude certain types of observations.
If a data point's Z-score is 0, it indicates that the data point is _______.
- above the mean
- an outlier
- below the mean
- on the mean
A Z-score of 0 indicates that the data point is on the mean.
How does incorrect imputation of missing data influence the accuracy of a predictive model?
- Decreases accuracy.
- Depends on the specific model.
- Increases accuracy.
- No effect on accuracy.
Incorrect imputation of missing data can lead to the model learning incorrect patterns, which in turn can significantly decrease the accuracy of predictions.
Why is it important to check the normality of residuals in regression analysis?
- To ensure the accuracy of the model's predictive ability
- To ensure the model is not overfitting
- To make sure the regression line is the best fit
- To satisfy one of the key assumptions of linear regression
It is important to check the normality of residuals in regression analysis because it is one of the key assumptions of linear regression. If the residuals are normally distributed, it validates the model's assumptions and ensures the accuracy of the hypothesis tests and confidence intervals.
Which type of graph is frequently used to represent an estimate of a variable's probability density function?
- Bar chart
- Kernel Density plot
- Pie chart
- Scatter plot
A Kernel Density Plot is frequently used to represent an estimate of a variable's probability density function. This type of plot uses a smoothing kernel to create a curve and the area under the curve is equal to 1.
You are analyzing a data set that includes the number of visitors to a website per day. How would you categorize this data type?
- Continuous data
- Discrete data
- Nominal data
- Ordinal data
The number of visitors to a website per day would be discrete data as it is countable in a finite amount of time.
You are dealing with a dataset where outliers significantly affect the mean of the distribution but not the median. What approach would you suggest to handle these outliers?
- Binning
- Removal
- Transformation
- nan
In this case, a transformation such as a log or square root transformation might be suitable. These transformations pull in high values, thereby reducing their impact on the mean.
The process of replacing each missing data point with a set of plausible values creating multiple complete data sets is known as ____________.
- Mean Imputation
- Mode Imputation
- Multiple Imputation
- Regression Imputation
This process is called multiple imputation. It generates several different plausible imputed datasets and the results from these are combined to produce the final analysis.
What is the relationship between the Z-score of a data point and its distance from the mean?
- The Z-score is independent of the distance from the mean
- The higher the Z-score, the closer the data point is to the mean
- The higher the Z-score, the further the data point is from the mean
- The lower the Z-score, the further the data point is from the mean
The higher the Z-score, the further the data point is from the mean. A Z-score of 0 indicates that the data point is identical to the mean score.