|
Instructions for Using and Completing the Data Analysis Chart
Part 2:
Since Part 1 of our data analysis has shown us that the weight of a falling
object does not impact or change how fast an object falls, we do not need 3 sets
of data for 3 different balls to continue our analysis. So we will find the
average of the "Average Drop Time" at each height and use this average
to complete our analysis.
 | To calculate the average of the "Average Drop Times", add
together the "Average Drop Times" for all 3 balls for the height
of 10-inches. Record this answer in the column labeled "Sum of All 3
Average Drop Times for this Height". |
| Continue to find the sum of the "Average Drop Times" for all 3
balls at each particular height and record each answer in the column labeled
"Sum of All 3 Average Drop Times for this Height" on the Data
Analysis Chart. |
| Now divide each sum by 3 and record the answer in the column titled
"Average of the Average Drop Times for All Balls". |
| Now calculate the difference between each pair of "Average of the
Average Drop Times" by subtracting: (The Average of the Average Drop
Time at 20-Inches) – (The Average of the Average Drop Time at 10-Inches).
Record each difference in the column titled "Difference of Average Drop
Times". |
| Continue to find each difference and record the answer in the column
titled "Difference of Average Drop Times" (i.e. the next
difference will be (The Average of the Average Drop Time at 30-Inches) –
(The Average of the Average Drop Time at 20-Inches)). |
| Now review the list of differences. Is there a constant difference? Is
each result in the column "Difference of Average Drop Times" the
same value? Using our sample test data, the differences were not the same. |
| Proceed to the next column and square the "Average of the Average
Drop Times" by multiplying as follows: (Average of the Average Drop
Time at 10-inches) * (Average of the Average drop Time at 10-inches). Record
the answer in the column titled "T^2". |
| Continue to square the "Average of the Average Drop Times" for
each height and record the answer in the column titled "T^2". |
| Now calculate the difference between each pair of "T^ 2" results
by subtracting (T^ 2 at 20-inches) – (T^ 2 at10-inches). Record the
difference in the column titled "Difference of T^2". |
| Continue to calculate the difference and record the answer in the column
titled "Difference of T^2" for each height (i.e. the next
difference will be (T^2 at 30-inches) – (T^2 at 20-inches)). |
| Now review the list of differences. Is each result in the "Difference
of T^2" column approximately the same? For our test data, the
difference is very close to being approximately the same. So there may be a
relationship between the "Height" and "T^2". |
| Now calculate the "Height" divided by the "T^2" value:
(height)/(T^2) for each height and record the result in the column titled
"H/(T^2)". |
| Now find the average of the results in the "H/(T^2)"column and
record this result below the "H/(T^2)" in the space labeled
"Average H/(T^2)" |
| Now use any patterns that you have seen in the Data Analysis Chart
to write an equation relating the height (H) to the average drop time (T)
and record your equation at the bottom of the Data Analysis Chart in
the space labeled "Pattern Analysis Equation:" |
| The rest of the Data Analysis Chart is to be completed by following
the Instructions for Regression Analysis on the Graphing Calculator. |
| After completing the regression analysis, turn the Data Analysis Chart
in to your teacher. |
|
