The following table gives the total number of people fully vaccinated in Oklahoma over a window of time in April of 2021: Day (in April People Fully Vaccinated 1 1243871 2 1268778 1290 295 1307768 1315073 6 1318146 1335 798 8 1351773 1368 221 10 1386 123 14 1417964 15 1428544 16 1438 343 17 1447 491 Part 1 Plot the data given in the table above. Be sure to label your axes appropriately. Part 2 You will notice that data is missing for the dates April 11th-13th. Use the data from April 1oth and 14th to extrapolate the total number of people vaccinated on each of the missing dates. Part 3 Plot the missing data you computed along with the data from part 1. Be sure to use a different symbol and colour for the missing data.

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### Problem 3

The following table gives the total number of people fully vaccinated in Oklahoma over a window of time in April of 2021:

| Day (in April) | People Fully Vaccinated |
| :------------: | :---------------------: |
| 1              | 1,243,871               |
| 2              | 1,268,778               |
| 3              | 1,290,295               |
| 4              | 1,307,768               |
| 5              | 1,315,073               |
| 6              | 1,318,146               |
| 7              | 1,335,798               |
| 8              | 1,351,773               |
| 9              | 1,368,221               |
| 10             | 1,386,123               |
| 14             | 1,417,964               |
| 15             | 1,428,544               |
| 16             | 1,438,343               |
| 17             | 1,447,491               |

#### Part 1
Plot the data given in the table above. Be sure to label your axes appropriately.

#### Part 2
You will notice that data is missing for the dates April 11th-13th. Use the data from April 10th and 14th to extrapolate the total number of people vaccinated on each of the missing dates.

#### Part 3
Plot the missing data you computed along with the data from part 1. Be sure to use a different symbol and color for the missing data.
Transcribed Image Text:### Problem 3 The following table gives the total number of people fully vaccinated in Oklahoma over a window of time in April of 2021: | Day (in April) | People Fully Vaccinated | | :------------: | :---------------------: | | 1 | 1,243,871 | | 2 | 1,268,778 | | 3 | 1,290,295 | | 4 | 1,307,768 | | 5 | 1,315,073 | | 6 | 1,318,146 | | 7 | 1,335,798 | | 8 | 1,351,773 | | 9 | 1,368,221 | | 10 | 1,386,123 | | 14 | 1,417,964 | | 15 | 1,428,544 | | 16 | 1,438,343 | | 17 | 1,447,491 | #### Part 1 Plot the data given in the table above. Be sure to label your axes appropriately. #### Part 2 You will notice that data is missing for the dates April 11th-13th. Use the data from April 10th and 14th to extrapolate the total number of people vaccinated on each of the missing dates. #### Part 3 Plot the missing data you computed along with the data from part 1. Be sure to use a different symbol and color for the missing data.
### Part 3
Plot the missing data you computed along with the data from part 1. Be sure to use a different symbol and color for the missing data.

### Part 4
The number of people fully vaccinated at the end of the days April 11th, 12th, and 13th were 1,402,339, 1,410,306, and 1,414,279, respectively. Compute the difference between the actual values and the values you estimated in Part 2. Explain your results.

### Part 5
The differences you computed in Part 4 give you the amount the approximations were off, however they lack context. A better way to look at these differences is in terms of relative differences. A relative difference is the difference divided by the correct value, which gives us a percentage. For instance, if a value is known to be 142, and we estimate it to be 128, the difference is:
\[ 
142 - 128 = 14
\]
While the relative difference is:
\[ 
(142 - 128) / 142 \approx 0.0985915
\]
This tells us that the relative difference is 0.985, or approximately a 9.85% deviation.

Compute the relative differences between your estimates and the actual data from Part 4. How far off, relatively, are your estimates?

### Part 6
Plot the correct data values which were given in Part 4 for April 11th-13th, along with the two data sets you plotted in Part 3. Once again, be sure to use a new symbol and color!
Transcribed Image Text:### Part 3 Plot the missing data you computed along with the data from part 1. Be sure to use a different symbol and color for the missing data. ### Part 4 The number of people fully vaccinated at the end of the days April 11th, 12th, and 13th were 1,402,339, 1,410,306, and 1,414,279, respectively. Compute the difference between the actual values and the values you estimated in Part 2. Explain your results. ### Part 5 The differences you computed in Part 4 give you the amount the approximations were off, however they lack context. A better way to look at these differences is in terms of relative differences. A relative difference is the difference divided by the correct value, which gives us a percentage. For instance, if a value is known to be 142, and we estimate it to be 128, the difference is: \[ 142 - 128 = 14 \] While the relative difference is: \[ (142 - 128) / 142 \approx 0.0985915 \] This tells us that the relative difference is 0.985, or approximately a 9.85% deviation. Compute the relative differences between your estimates and the actual data from Part 4. How far off, relatively, are your estimates? ### Part 6 Plot the correct data values which were given in Part 4 for April 11th-13th, along with the two data sets you plotted in Part 3. Once again, be sure to use a new symbol and color!
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