Podcast
Questions and Answers
What happens during overfitting in curve fitting?
What happens during overfitting in curve fitting?
- The curve captures overall trends without accounting for fluctuations.
- The model simplifies the data, ignoring some training examples for greater accuracy.
- The curve trends more towards capturing minor fluctuations in the training data. (correct)
- The data points are approximated well, leading to high accuracy on new data.
Which method should be used to add error bars to a bar graph in a chart?
Which method should be used to add error bars to a bar graph in a chart?
- Select the entire dataset before opening Excel's error bars function.
- Double-click the bars in the graph and type in the error values.
- Left-click the chart, select the '+' icon, and then modify properties from there. (correct)
- Right-click the chart and select 'Add Error Bars' directly from the menu.
In correlation, what does it indicate when two values increase together?
In correlation, what does it indicate when two values increase together?
- They are correlated. (correct)
- They are independent of each other.
- The values are divergent.
- There is an inverse relationship.
Why might a trend line not go through the first five data points in a scatter plot?
Why might a trend line not go through the first five data points in a scatter plot?
What is the primary use of comparative experiments in data analysis?
What is the primary use of comparative experiments in data analysis?
Which of the following statements about cell references in Excel is true?
Which of the following statements about cell references in Excel is true?
What will happen if you type '34 g' into a cell in Excel?
What will happen if you type '34 g' into a cell in Excel?
Which formula would correctly calculate the average of values in cells A1 and A2?
Which formula would correctly calculate the average of values in cells A1 and A2?
How can you select non-adjacent cells in Excel?
How can you select non-adjacent cells in Excel?
Which function would you use to find the minimum value from another sheet named 'Heart Rate' within a specified range?
Which function would you use to find the minimum value from another sheet named 'Heart Rate' within a specified range?
What does pressing Ctrl + Down Arrow accomplish in Excel?
What does pressing Ctrl + Down Arrow accomplish in Excel?
When utilizing absolute references in Excel, what does the '$' symbol indicate?
When utilizing absolute references in Excel, what does the '$' symbol indicate?
What are the correct formulas for calculating standard deviation for a sample and for a population respectively?
What are the correct formulas for calculating standard deviation for a sample and for a population respectively?
What is the primary purpose of using Ohm's Law in electrical circuits?
What is the primary purpose of using Ohm's Law in electrical circuits?
In a parallel circuit, which of the following statements is true?
In a parallel circuit, which of the following statements is true?
How is power calculated in an electrical context?
How is power calculated in an electrical context?
When measuring resistance, which procedure is correct?
When measuring resistance, which procedure is correct?
Which formula is used to calculate the output voltage in a voltage divider configuration?
Which formula is used to calculate the output voltage in a voltage divider configuration?
Flashcards
Scatter Plots
Scatter Plots
Visualize data points. Useful for identifying correlations.
Bar Graphs
Bar Graphs
Compare data sets. Use error bars for averaged data.
Curve Fitting
Curve Fitting
Draws a line approximating data points to show a relationship.
Overfitting
Overfitting
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Error Bars
Error Bars
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Excel Workbook
Excel Workbook
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Excel Name Box
Excel Name Box
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Excel Formulas
Excel Formulas
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Excel Function SUM
Excel Function SUM
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Excel Standard Deviation
Excel Standard Deviation
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Absolute Reference
Absolute Reference
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Excel Autofill
Excel Autofill
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Excel Standard Error of the Mean
Excel Standard Error of the Mean
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Ground
Ground
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Voltage
Voltage
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Current
Current
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Resistance
Resistance
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Ohm's Law
Ohm's Law
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Study Notes
Excel Workbook Structure
- Workbook: A collection of worksheets.
- Worksheets (Sheets): Tabs can be renamed, reordered, or deleted.
- Name Box: Displays the active cell's reference (e.g., A1). Updating when cells are clicked or navigated to. You can type a cell reference (D6) to go directly to it.
- Indexes: Columns are labelled by letters (A, B, C, etc.), rows by numbers (1, 2, 3, etc).
Default Excel Behaviors
- Numbers are right-aligned, text is left-aligned. Text like "34 g" is treated as text; Excel does not recognize it as a numerical value (and Excel might show #VALUE!)
- Excel accepts specific time formats. Typing "8 AM" is interpreted as time (8:00 AM) not a regular number or text.
- Cell selection direction: pressing Enter can move the active cell to the right instead of down using File > Options > Advanced
Formulas and Functions
- Formula Bar (Fx box): Displays the formula in an active cell.
- "fx" button: Used to insert a function into a cell and to search for functions. Functions are expressed: e.g., =A1+A2 (or SUM(A1:A2)).
- Built-in functions: Use functions like AVERAGE(A1:A2) or MIN(range).
- Examples of formulas using ranges and functions:
- =MIN('Heart Rate'!D2:D996) -- Finds the minimum value within a specific range (heart rate) of a different sheet in the workbook, 'Heart Rate'
- Minimum and range are needed to calculate the minimum value
- Shortcut keys:
- Ctrl + Down Arrow: Moves to the last row in the sheet.
- Ctrl + Right Arrow: Moves to the last column.
- Filling Formulas:
- Drag the fill handle (the small square box) down or across to copy formulas, dynamically updating the cell references.
- Select a column, then input a formula in one cell, and drag the fill handle across to copy the formula to other cells in that column.
- Absolute references using ""(e.g.," (e.g., "(e.g.,B2, B$2). Lock reference values in formulas. Excel will copy the formula and adjust only specific cell references.
Formatting and Data Input
- Auto-fill or series fill : Auto-filling a range of values, like incrementing dates or times (e.g., 8:00 AM to midnight every 2 hrs)
Descriptive Statistics
- Key Measures: Mean, Median, Mode
- Standard Deviation (SD): Measures the spread of data points relative to the mean.
=STDEV.S
(for samples),=STDEV.P
(for populations) calculations
- Standard Error of the Mean (SEM): Measures the accuracy of the sample's mean in estimating the population mean.
Charts and Graphs
- Scatter Plots: Used to show relationships between data points.
- Displaying several datasets on the same plot using "Select Data" -> "Add Series".
- Bar Graphs: For comparing data sets
- Adding error bars: To visually represent the variability in a dataset, using standard deviation values.
- Curve Fitting: Creates a line approximating the relationship between independent and dependent variables.
Additional Considerations
- Overfitting: A curve fit is overfit when the model captures even the noise or fluctuations within the dataset, rather than the overall trend.
- Trends: Sometimes initial trends are not captured by a line because of insufficient initial data.
- Correlation and Co-variation: Two variables co-vary or correlate when changes in one tend to be accompanied by changes in the other.
- Comparative Experiments: Used to assess the differences or impacts between groups or variables.
Excel as a Calculator
- Excel can perform mathematical calculations just like a calculator using basic arithmetic operations.
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