Excel Lab 2: Regression and Goal Seek
In this lab, you will use Excel to determine the equation of the
model which best fits a set of ordered pairs
obtained from data sets. You will enter data, graph the data, find
the equation for the regression model,
and then use that equation to make predictions for the dependent
variable. You will use the goal seek to make
predictions for the independent variable. Then you will consider
how accurate your predictions are.
Part 1
The more a person weighs, the more Calories they burn every minute
when they are walking. The following
table gives the number of Calories a person burns per minute of
walking as a function of their weight in
pounds.
Weight (lbs) | 100 | 120 | 150 | 170 | 200 | 220 |
Calories burned per minute | 2.7 | 3.2 | 4.0 | 4.6 | 5.4 | 5.9 |
1. Enter the data into columns A and B on your spreadsheet, in rows
3-9.
2. Highlight your data and create a scatter plot (the first type,
with no lines).
3. Make sure your graph includes a title and that both axes are
labeled.
4. Right click on any data point and choose add trendline from the
menu.
5. Select linear and check the boxes for display equation and show
R2
(if you have Excel 2003 you will have to click on the options tab
to see the last two check boxes).
6. Based on your equation from step 5, state the slope.
Explain in a complete sentence what the slope
means in context of the problem. ( I need a specific
answer.)
7. In the cell, C3 type the equation from step 5.
8. Type the equation in Excel format in cell C4 so that Excel
calculates the number of Calories burned
per minute by a 100 lb person. Drag this formula to cell C9.
9. Compare the actual Calories burned in column B to the
predicted calories burned in column C. How
accurate do you think your model is? ( I need a specific
answer.)
@Please, show your all works and upload an Excel sheet.
Thanks.
Excel sheet: Values
Weight | Calories | y=0.027x-0.017 | Error |
100 | 2.7 | 2.683 | 0.017 |
120 | 3.2 | 3.223 | -0.023 |
150 | 4 | 4.033 | -0.033 |
170 | 4.6 | 4.573 | 0.027 |
200 | 5.4 | 5.383 | 0.017 |
220 | 5.9 | 5.923 | -0.023 |
Formulae sheet
Weight | Calories | y=0.027x-0.017 | Error |
100 | 2.7 | =0.027*A4-0.017 | =B4-C4 |
120 | 3.2 | =0.027*A5-0.017 | =B5-C5 |
150 | 4 | =0.027*A6-0.017 | =B6-C6 |
170 | 4.6 | =0.027*A7-0.017 | =B7-C7 |
200 | 5.4 | =0.027*A8-0.017 | =B8-C8 |
220 | 5.9 | =0.027*A9-0.017 | =B9-C9 |
Since R2=0.9996=99%, we can say that model is 99% accurate.
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