Regression Analysis Task

advertisement
Regression Analysis Task A
Objective: To run a regression analysis of several variables dealing with climate change
as they relate to time and each other.
Download the data from wieckhorst.wordpress.com and save it to the Desktop for easy
use. You can do all of the following in the same workbook or open a new workbook.
1. Construct a scatter plot, a line of regression (or another function that fits), and a
regression equation for each set of bivariate data below. Treat the first listed
variable as x and the second listed variable as y.
 Time (years) vs. Mean Temp. (°F) globally
 Time (years) vs. Sea Level (mm below mean) in Battery Park
 Time (years) vs. Lemon Creek Glacial Mass (meters of water equivalent)
 Mean Temp. (°F) vs. Sea Level (mm below mean)
 Sea Level (mm below mean) vs. Lemon Creek Glacial Mass (mwe)
 Mean Temp. (°F) vs. Lemon Creek Glacial Mass (mwe)
2. Save all of your data to the computer. You may save it to a flash drive and/or email the data to yourself for future use.
3. Answer the following questions based on your data.
a)
Which set of bivariate data has the strongest correlation, based on the
given values? Explain.
b)
Why do you think such a strong correlation exists for your answer from
part a? What implication does this have on our future?
c)
Which set of bivariate data has the weakest correlation, based on the
given values? Explain.
d)
Why do you think such a weak correlation exists between the variables
you mentioned in part c? What implication does this have on our future?
4. Make the following extrapolations from your findings.
a)
What do you predict the mean temperature of New York City will be in
2050? Prove your answer.
b)
What do you predict the sea level, compared to the mean, will be in
Battery Park in 2050? Justify your response.
c)
What do you predict will be the glacial mass, in meters of water
equivalent, of the Storbreen Glacier in 2050?
The answers to your questions may be typed and sent along with your regression
analyses. E-mail all final work to mr.wieckhorst@gmail.com
Reminder!
To Create a Scatter Plot and run a Regression in Excel
1.
Highlight the data you want to graph and click "Insert". Choose Scatter
(select the first option)
* You can format your chart however you want
2.
Right-click on any data point and choose "Add Trendline..."
3.
Choose the correct model and check "Display Equation on Chart"
Regression Analysis Task B
Objective: To run a regression analysis of several variables dealing with climate change
as they relate to time and each other.
Download the data from wieckhorst.wordpress.com and save it to the Desktop for easy
use. You can do all of the following in the same workbook or open a new workbook.
5. Construct a scatter plot, a line of regression (or another function that fits), and a
regression equation for each set of bivariate data below. Treat the first listed
variable as x and the second listed variable as y.
 Time (years) vs. Mean Temp. (°F) globally
 Time (years) vs. Sea Level (mm below mean) in Battery Park
 Time (years) vs. Lemon Creek Glacial Mass (meters of water equivalent)
 Mean Temp. (°F) vs. Sea Level (mm below mean)
 Sea Level (mm below mean) vs. Lemon Creek Glacial Mass (mwe)
 Mean Temp. (°F) vs. Lemon Creek Glacial Mass (mwe)
6. Save all of your data to the computer. You may save it to a flash drive and/or email the data to yourself for future use.
7. Answer the following questions based on your data.
a)
Which set of bivariate data has the strongest correlation, based on the
given values? The weakest? Explain.
b)
Why do you think such a strong correlation exists for your answer from
part a? What implication does this have on our future?
c)
Why do you think such a weak correlation exists between the variables
you mentioned in part a? What implication does this have on our future?
d)
How would you describe the correlations between the variables? Prove
your answer using your data in Excel.
8. Make the following extrapolations from your findings.
a)
What do you predict the mean temperature of New York City will be in
2050? Prove your answer.
b)
What do you predict the sea level, compared to the mean, will be in
Battery Park in 2050? Justify your response.
c)
What do you predict will be the glacial mass, in meters of water
equivalent, of the Lemon Creek Glacier in 2050?
The answers to your questions may be typed and sent along with your regression
analyses. E-mail all final work to mr.wieckhorst@gmail.com
Reminder!
To Create a Scatter Plot and run a Regression in Excel
1.
Highlight the data you want to graph and click "Insert". Choose Scatter
(select the first option)
* You can format your chart however you want
2.
Right-click on any data point and choose "Add Trendline..."
3.
Choose the correct model and check "Display Equation on Chart"
Download