## Final Exam Results

Students can email me directly for final exam scores and grades.

Mean | 84.7 |

Median | 88.9 |

Mode | 95.0 |

Standard Deviation | 11.8 |

Range | 56.7 |

Minimum | 40.2 |

Maximum | 96.9 |

Sum | 8130 |

Count | 96 |

Category: f19-busad265

- 4 years ago
- f19-busad265
- Justin

Students can email me directly for final exam scores and grades.

Mean | 84.7 |

Median | 88.9 |

Mode | 95.0 |

Standard Deviation | 11.8 |

Range | 56.7 |

Minimum | 40.2 |

Maximum | 96.9 |

Sum | 8130 |

Count | 96 |

- 4 years ago
- f19-busad265
- Justin

Review:

- Review Part 1
- Finals schedule:
- Tue Dec 10 in HSB 110
- 11:15 Section @ 10:30am
- 1:00 Section @ 1:00pm

- Course Evaluations

Presentation:

- Review for Final Exam – Part 2

- 4 years ago
- f19-busad265
- Justin

Review:

- Exam 3 Results
- 95% Confidence
- Finals schedule
- Tue Dec 10 in HSB 110
- 11:15 Section @ 10:30am
- 1:00 Section @ 1:00pm

Presentation:

- Review for Final Exam – Part 1

- 4 years ago
- f19-busad265
- Justin

Mean | 82.8 |

Median | 90.0 |

Mode | 95.0 |

Standard Deviation | 24.4 |

Range | 100.0 |

Minimum | 0.0 |

Maximum | 100.0 |

Sum | 8275.9 |

Count | 100 |

- 4 years ago
- f19-busad265
- Justin

Review:

- Exam 3 on Wed, Nov 20

Presentation:

- Review Topics:
- Scatterplots
- Correlation
- Pearson Correlation Coefficient
- Least Squares Regression
- Sum of Squares
- Linear Regression
- Calculate slope and y-intercept for linear equation
- Calculate R-Squared
- Forecasting with a regression equation (plug in x and solve for y)

- Cautions about Regression and Correlation
- Extrapolation
- Spurious correlation
- Correlation ≠ causation
- Lurking variables
- Influential observations
- Sensitivity analysis
- Demonstrating causation
- Retrospective studies
- Prospective studies

Activity:

- Complete Practice Exam: F18-BA265-Exam2-Practice (2)

- 4 years ago
- f19-busad265
- Justin

Review:

- Pearson Correlation Coefficient
- R-Squared
**Exam 3 on Wed, Nov 20**- Review for Exam 3 on Mon, Nov 18

Presentation:

- Cautions about Correlation and Regression
- Influential Observations
- Outliers
- Diabetes and blood sugar (p. 129-130)

- Lurking Variables
- Explanatory variables not included
- High School math and success in college (p. 132-133)

- The Question of Causation
- Correlation does not imply causation
- Spurious Correlations
- Retrospective study = looking back to find possible causes for an established outcome among a sample population
- Prospective studies = following a sample population over time and studying behaviors possibly linked to likelihood of an outcome
- Video

- Extrapolation
- Use of regression for prediction far outside the range of the explanatory variable
- Predictions outside the range are unreliable
- Further outside the range = less reliable predictions

**Sensitivity Analysis**Demonstration- Remove influential observations and recalculate regression equation and R-Squared
- Use Pueblo Voter Turnout data

- Influential Observations

Presidential Election Year | Time Period | Ballots Cast (thousands) |

2004 | 1 | 68.4 |

2008 | 2 | 73.9 |

2012 | 3 | 77.7 |

2016 | 4 | 78.7 |

- Produce a scatter plot with Time Period on the x axis and Ballots Cast on the y axis
- Find the linear regression equation and the corresponding R-Squared value
- Remove the 2004 data
- Recalculate the linear regression equation and the corresponding R-Squared value
- Remove the 2016 data
- Recalculate the linear regression equation and the corresponding R-Squared value

Activity:

Price of Coffee ($ per pound) | Deforestation (%) |

0.29 | 0.49 |

0.40 | 1.59 |

0.54 | 1.69 |

0.55 | 1.82 |

0.72 | 3.10 |

- Produce a scatter plot with Price of Coffee on the x axis and Deforestation on the y axis
- Find the linear regression equation and the corresponding R-Squared value
- Estimate Deforestation % assuming Price of Coffee is $0.90 per pound.
- Sensitivity Analysis
- Identify and remove the most influential observation (use scatterplot)
- Recalculate the linear regression equation and the corresponding R-Squared value
- Recalculate Deforestation % assuming Price of Coffee is $0.90 per pound.

- 4 years ago
- f19-busad265
- Justin

Review:

- Quiz 6
- Linear Regression with Professor Kuan
**Exam 3**on Wed, Nov 20- 2020 Pueblo Voter Turnout Estimates

Presentation:

- Correlation and R-Squared
- Pearson Correlation Coefficient
- r = SSxy/√(SSxx*SSyy)
- -1 < r < 1

- R-Squared =(r)^2
- Example
- Use Beer Party
- Sample data: {(2,3), (4,6), (7,9), (11,12)}
- Calculate Pearson Correlation Coefficient (r)
- Calculate R-Squared

- Pearson Correlation Coefficient

Activity:

x | y |

10 | -30 |

3 | -2 |

5 | -10 |

1 | 6 |

6 | -14 |

- Use the data above
- Make a scatterplot
- Calculate the Sum of Squares
- Calculate the linear regression equation
- Calculate the Pearson Correlation Coefficient
- Calculate R-Squared

Femur (cm) | Humerus (cm) |

38 | 41 |

56 | 63 |

59 | 70 |

64 | 72 |

74 | 84 |

- Use the data above
- Make a scatterplot
- Calculate the Sum of Squares
- Calculate the linear regression equation
- Calculate the Pearson Correlation Coefficient
- Calculate R-Squared

- 4 years ago
- f19-busad265
- Justin

Review:

- Scatterplots
- Sum of Squares

Presentation:

- Video
- Linear regression (simple, bivariate)
- Calculate equation of the regression line
- y-hat = b1*x + bo
- b1 = “slope” of the line
- b0 = “y-intercept”

- Calculate Sum of Squares: SSxx, SSyy, SSxy
- b1 = SSxy/SSxx
- b0 = (∑y/n) – b1*(∑x/n)

- y-hat = b1*x + bo
- Example
- Beer party data: {(60,10), (70,12), (80,20), (90,40)}
- Calculate slope (b1) and y-intercept (b0) for linear equation
- Estimate Beer consumption when temperature is 75 degrees
- Download Complete Example

- Calculate equation of the regression line

Activity: **Submit this work before leaving class**!!

- Forecast 2020 voter turnout in Pueblo County using the data below
- Create a Scatterplot
- Calculate Sum of Squares: SSxx, SSyy, SSxy
- Calculate slope and intercept for the regression line and write the linear equation
- Use the regression equation to forecast Ballots Cast in 2020
- Hints
- Use Time Period as the independent (x) variable
- Use Ballots Cast as the dependent (y) variable
- To forecast 2020 turnout, solve for y-hat when x = 5

- Hints

Presidential Election Year | Time Period | Ballots Cast |

2004 | 1 | 68,371 |

2008 | 2 | 73,881 |

2012 | 3 | 77,671 |

2016 | 4 | 78,652 |

Assignment:

- Study for Quiz on Monday covering Scatterplots, Sum of Squares and Linear Regression

- 4 years ago
- f19-busad265
- Justin

Review:

- Scatterplots

Presentation:

**Least Squares Regression**- Find a line of best fit for a set of points
- Least Squares Regression Proof: MethodLeastSquares
- Example: Beer Party
- Use temperature to predict 12-packs consumed
- Data from previous parties (Temp degrees F, 12-packs consumed)
- Party 1: 60°, 10 12-packs
- Party 2: 70°, 12 12-packs
- Party 3: 80°, 20 12-packs
- Party 4: 90°, 40 12-packs

- Scatter Plot
- Table setup

- Sum of Squares calculations
- SSxx = ∑x² – (∑x)²/n
- SSyy = ∑y² – (∑y)²/n
- SSxy = ∑xy – (∑x*∑y)/n
- Demonstrate Calculations
- Beer party data: {(60,10), (70,12), (80,20), (90,40)}
- Another example: {(2,3), (4,6), (7,9), (11,12)}

- We will use these Sum of Squares calculations to determine
- linear equation
- Pearson correlation coefficient
- R-squared

Activity:

- A study was conducted on mercury (Hg) concentrations in fish taken from Lake Natoma in California. The researchers were concerned that mercury concentration levels in sample fish tissue might differ depending on the lab testing the fish. Fish tissue samples from 10 largemouth bass were sent to two labs, Columbia Environmental Research Center (CERC) and University of California, Davis (UC Davis), for inter-laboratory comparison. Mercury concentration is measured in micrograms of mercury per gram of fish tissue (dry weight).
*Use the mercury concentration data below to Calculate Sum of Squares (SSxx, SSyy, SSxy).*

- Satellites are one of the many tools used for predicting flash floods, heavy rainfall, and large amounts of snow. Geostationary Operational Environmental Satellites (GOES) collect data on cloud top brightness temperatures (measured in degrees Kelvin (°K)). It turns out that colder cloud temperatures are associated with higher and thicker clouds, which could be associated with heavier precipitation. Data consisting of cloud top temperature measured by a GOES satellite and rainfall rate measured by ground radar appear in the table below. Because ground radar can be limited by location and obstructions, having an alternative for predicting the rainfall rates can be useful.
*Use the temperature and radar rain rate data below to Calculate Sum of Squares (SSxx, SSyy, SSxy).*

*Problems above from the Against All Odds video series guide for Unit 10.*

- 4 years ago
- f19-busad265
- Justin

Review:

- Exam 2 Results
- Competition results
- Register for classes
- BUSAD 360: Advanced Statistics
- ECON 325: Geography of World Economy

Presentation:

**Scatterplots**- Visualize relationship between 2 variables
- independent (x) and dependent (y)
- explanatory (x) and response (y)
- horizontal axis (x) and vertical axis (y)

- Visual Correlation
- Direction: Positive or Negative
- Strength: Strong, Moderate, Weak

- Examples
- Alternative Uses
- Predicted vs Actual
- Hot/Crazy

- Video

- Visualize relationship between 2 variables

Activity:

**Problem 1.** A study was conducted on mercury (Hg) concentrations in fish taken from Lake Natoma in California. The researchers were concerned that mercury concentration levels in sample fish tissue might differ depending on the lab testing the fish. Fish tissue samples from 10 largemouth bass were sent to two labs, Columbia Environmental Research Center (CERC) and University of California, Davis (UC Davis), for inter-laboratory comparison. Mercury concentration is measured in micrograms of mercury per gram of fish tissue (dry weight). *Use the mercury concentration data below to create a Scatterplot and characterize the nature of any correlation. *

**Problem 2. **Satellites are one of the many tools used for predicting flash floods, heavy rainfall, and large amounts of snow. Geostationary Operational Environmental Satellites (GOES) collect data on cloud top brightness temperatures (measured in degrees Kelvin (°K)). It turns out that colder cloud temperatures are associated with higher and thicker clouds, which could be associated with heavier precipitation. Data consisting of cloud top temperature measured by a GOES satellite and rainfall rate measured by ground radar appear in the table below. Because ground radar can be limited by location and obstructions, having an alternative for predicting the rainfall rates can be useful. *Use the temperature and radar rain rate data below to create a Scatterplot and characterize the nature of any correlation.*

*Problems copied from the Against All Odds video series guide for Unit 10.*