Statistics and Data Analysis Basics
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Questions and Answers

In statistical testing, what does it mean when the null hypothesis (H0) is rejected?

  • The statistical test was not performed correctly.
  • There is evidence to suggest that the null hypothesis is true.
  • The alternative hypothesis is supported by the data. (correct)
  • The null hypothesis is accepted, and the alternative hypothesis is rejected.
  • A bar graph is the best graph to use when:

  • Your dependent variable was measured on at least a ratio scale.
  • You want to show ordered trends in your data.
  • Your independent and dependent variables are both continuous.
  • Your independent variable is categorical. (correct)
  • If you have discrete group data, such as months of the year, age group, shoe sizes, and animals, which is the best to explain?

  • Histogram
  • Bar (correct)
  • Scatter
  • Boxplot
  • What does the following code do?

    data %>%
    group_by(category) %>% 
    filter(rank == min(rank))
    

    <p>Filters rows within each group where rank equals the group minimum.</p> Signup and view all the answers

    In the data analysis process, which of the following is typically done during the data interpretation phase?

    <p>Analyzing data to derive insights and conclusions.</p> Signup and view all the answers

    When cleaning a dataset with duplicate rows, which of the following is the most appropriate first step?

    <p>Sort the dataset by a key variable and remove rows that are identical in all columns.</p> Signup and view all the answers

    Which of the following methods would most likely be employed in diagnostic analysis to understand why a product's sales have declined over the past six months?

    <p>Utilizing time series analysis to assess sales trends.</p> Signup and view all the answers

    In hypothesis testing, if the p-value is less than the significance level (α), what is the correct decision?

    <p>Reject the null hypothesis.</p> Signup and view all the answers

    Which of the following best describes the purpose of data validation in the data analysis process?

    <p>To verify the accuracy and quality of the data before analysis.</p> Signup and view all the answers

    Which of the following would be the correct way to compute the sum of a column named sales in a dataset?

    <p>summarize(total_sales = sum(sales))</p> Signup and view all the answers

    In the realm of data analysis types, which of the following methodologies would most likely be utilized in diagnostic analysis to identify the underlying causes of a decrease in sales?

    <p>Exploratory data analysis (EDA) techniques, including correlation analysis and hypothesis testing, to identify relationships.</p> Signup and view all the answers

    In the context of reading data from an SQL database into R, which function from the DBI package is typically used to execute SQL queries and retrieve data into R as a data frame?

    <p>dbGetQuery()</p> Signup and view all the answers

    The pipe operator (%>%) in dplyr is used to:

    <p>Chain together multiple functions.</p> Signup and view all the answers

    In a retail environment, which data analysis type would be most effective for developing a personalized marketing strategy based on customer behavior and purchase history?

    <p>Prescriptive analysis, to recommend specific marketing actions tailored to each customer.</p> Signup and view all the answers

    Which of the following metrics is most relevant when evaluating the performance of a predictive model in the context of classification tasks?

    <p>Area Under the Receiver Operating Characteristic Curve (AUC-ROC)</p> Signup and view all the answers

    What does a high variance in data indicate?

    <p>Data points are spread out widely.</p> Signup and view all the answers

    When importing a CSV file using read.csv() in R, which argument would you use to prevent automatic conversion of strings into factors?

    <p>stringsAsFactors = FALSE</p> Signup and view all the answers

    What is the purpose of na.omit() in R?

    <p>Remove rows containing missing values.</p> Signup and view all the answers

    How does the challenge of Velocity in big data influence the design of data architecture, especially when considering the requirements for near-real-time analytics?

    <p>It promotes the implementation of event-driven architectures that can process streams of data as they arrive.</p> Signup and view all the answers

    What type of variable is measured on an ordinal scale?

    <p>Customer satisfaction rating (1 to 5)</p> Signup and view all the answers

    Which of the following scenarios best illustrates the integration of both predictive and prescriptive analysis in decision-making?

    <p>Forecasting demand for a new product and recommending optimal inventory levels to maximize profit.</p> Signup and view all the answers

    When importing data from an Excel file using the readxl package's read_excel() function, which of the following is NOT true?

    <p>read_excel() can read data from a password-protected Excel file.</p> Signup and view all the answers

    What is the main purpose of descriptive analytics?

    <p>Summarize and describe historical data</p> Signup and view all the answers

    When performing exploratory data analysis (EDA), which statistical method would you use to examine the relationship between two categorical variables in a large dataset, and how would you interpret the results?

    <p>Chi-square test of independence, to assess whether an association exists between the two variables, with a significant result indicating dependence.</p> Signup and view all the answers

    In a large dataset with multiple categorical variables, which of the following techniques is most appropriate to handle high-cardinality categorical variables during data cleaning?

    <p>Group rare categories together into an &quot;Other&quot; category.</p> Signup and view all the answers

    You are using the scan() function to read data from a text file. Which of the following is TRUE about scan() compared to read.table()?

    <p>scan() is more flexible, allowing data to be read into vectors, lists, or matrices.</p> Signup and view all the answers

    When handling imbalanced classes in a dataset, which of the following is a proper data cleaning technique to address the imbalance?

    <p>Oversample the minority class or undersample the majority class.</p> Signup and view all the answers

    Which characteristic of Variety in big data best describes the challenge organizations face when integrating data from multiple sources?

    <p>The incorporation of unstructured data alongside structured data from various formats such as text, audio, video, and social media feeds.</p> Signup and view all the answers

    You have a dataset df with columns id, name, and sales. If you want to keep only the rows where sales is within the top 10 highest values, which code would you use?

    <p>df %&gt;% arrange(desc(sales)) %&gt;% slice_max(sales, n = 10)</p> Signup and view all the answers

    What is a key difference between a tibble and a traditional data frame in R?

    <p>Tibbles do not support row names, while data frames do.</p> Signup and view all the answers

    Which of the following is the most appropriate method for handling outliers when they are due to data entry errors rather than true variability?

    <p>Remove the outliers based on a predefined threshold (e.g., Z-Score or IQR).</p> Signup and view all the answers

    Considering the challenges of Volume, what technique is most effective for ensuring that analytical systems can scale dynamically to handle fluctuating data loads?

    <p>Utilizing cloud-based platforms that provide on-demand scalability and flexible resource allocation.</p> Signup and view all the answers

    What does str(df) do in R?

    <p>Returns the structure of the data frame.</p> Signup and view all the answers

    When designing an experiment to test the impact of diet on health outcomes, which of the following would be a statistical hypothesis?

    <p>The mean cholesterol level of participants on a high-fiber diet is different from that of participants on a low-fiber diet.</p> Signup and view all the answers

    A Type I error in hypothesis testing occurs when:

    <p>The null hypothesis is incorrectly rejected when it is actually true.</p> Signup and view all the answers

    What does the term "data normalization" mean?

    <p>Standardizing data to a common scale.</p> Signup and view all the answers

    In the data analysis process, which step typically involves transforming raw data into a more suitable format for analysis?

    <p>Data Transformation</p> Signup and view all the answers

    How can you check for outliers in a data set?

    <p>All of the above</p> Signup and view all the answers

    Which function from the readr package is designed to import a CSV file and returns the output as a tibble?

    <p>read_csv()</p> Signup and view all the answers

    Study Notes

    Question 1

    • Rejecting the null hypothesis (H₀) means the alternative hypothesis (H₁) is supported by the data.
    • The statistical test was performed correctly. Evidences suggest the null hypothesis is not true.

    Question 2

    • A bar graph is best when the independent variable is categorical.

    Question 3

    • A bar graph is the best choice for discrete group data.

    Question 4

    • The code filters rows within each group where the rank equals the group minimum

    Question 5

    • The data interpretation phase involves analyzing data, deriving insights and drawing conclusions.

    Question 6

    • Sorting the dataset by a key variable and removing identical rows is the most appropriate first step when cleaning duplicate rows.

    Question 7

    • Cohort analysis is applied to understand the changing preferences of customers over time.

    Question 8

    • Reject the null hypothesis (H₀) when the p-value is less than the significance level (α).

    Question 9

    • Data validation verifies the accuracy and quality of the data before analysis

    Question 10

    • summarize(total_sales = sum(sales)) is the correct way to compute the sum of a column named 'sales'.

    Question 11

    • Exploratory data analysis (EDA) techniques, like correlation analysis and hypothesis testing, are used in diagnostic analysis.

    Question 12

    • dbGetQuery() retrieves data from an SQL database in R.

    Question 13

    • The pipe operator (%>%) chains multiple functions together in R.

    Question 14

    • Prescriptive analysis is most effective for personalized marketing strategies.

    Question 15

    • AUC-ROC (Area Under the Receiver Operating Characteristic Curve) is a suitable metric for evaluating predictive models.

    Question 16

    • High variance in data indicates the data points are scattered widely.

    Question 17

    • Set stringsAsFactors = FALSE to prevent automatic conversion of strings into factors when importing a CSV file.

    Question 18

    • na.omit() removes rows containing missing values in R.

    Question 19

    • Event-driven architectures handle data streams as they arrive in near-real-time analytical data architecture.

    Question 20

    • A customer satisfaction rating (1 to 5) is a variable measured on an ordinal scale.

    Question 21

    • Forecasting demand for a new product and recommending optimal inventory levels to maximize profit show integration of predictive and prescriptive analysis.

    Question 22

    • read_excel() cannot read password-protected Excel files.

    Question 23

    • Descriptive analytics summarizes and describes historical data trends.

    Question 24

    • A Chi-square test of independence examines the relationship between two categorical variables, determining if an association exists.

    Question 25

    • (No data provided in question.)

    Question 26

    • scan() is more flexible and can handle multiple data types in different formats compared to read.table().

    Question 27

    • Oversampling the minority class or undersampling the majority class are effective data cleaning techniques to address class imbalance.

    Question 28

    • Variety in big data includes unstructured data alongside structured data from various formats like text, audio, video, and social media feeds.

    Question 29

    • (No data provided in question.)

    Question 30

    • Tibbles do not store row names, unlike data frames.

    Question 31

    • Remove outliers due to data entry errors with thresholds like Z-score or interquartile range (IQR).

    Question 32

    • Utilize cloud-based platforms for on-demand scalability and flexible resource allocation to handle fluctuating data loads.

    Question 33

    • (No data provided in question.)

    Question 34

    • A statement that proposes a relationship between a variable and an outcome (e.g., a high-fiber diet impacting cholesterol levels), is a hypothesis.

    Question 35

    • A type I error occurs when a null hypothesis is wrongly rejected when it's actually true in hypothesis testing.

    Question 36

    • Data normalization standardizes data to a common scale.

    Question 37

    • (No data provided in question.)

    Question 38

    • Histograms, boxplots, and scatterplots are all methods to assess outliers in a data set visually.

    Question 39

    • read_csv() is the function from the readr package to import CSV files into a tibble in R.

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    Description

    This quiz covers essential concepts in statistics and data analysis, including hypothesis testing, bar graphs, and data cleaning methods. Test your knowledge on the interpretation of data and cohort analysis to understand customer preferences. Ideal for students studying statistics or data science.

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