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17 Nov 2020, 05:32
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The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period.: True
Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period.: False
Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm.: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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69% (01:59) correct
31%
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The table below shows various measurements reported monthly over a two-year period at Lake Molono, from April 2005 to March 2007.
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| Date | Average Water Level (m) | Average Surface Area (m^2) | Rain (mm) | Evaporation (mm) | Net Groundwater (mm) |
|---|---|---|---|---|---|
| Apr-2005 | 32.50 | 568,959 | 101 | 160 | 8 |
| May-2005 | 32.45 | 566,330 | 129 | 151 | 5 |
| Jun-2005 | 32.42 | 565,347 | 427 | 126 | 70 |
| Jul-2005 | 32.83 | 582,543 | 149 | 153 | 126 |
| Aug-2005 | 32.96 | 587,751 | 247 | 164 | 103 |
| Sep-2005 | 33.18 | 595,213 | 83 | 144 | 87 |
| Oct-2005 | 33.20 | 596,118 | 241 | 136 | 55 |
| Nov-2005 | 33.40 | 602,133 | 38 | 80 | 73 |
| Dec-2005 | 33.43 | 603,039 | 38 | 73 | 63 |
| Jan-2006 | 33.45 | 603,755 | 13 | 69 | 24 |
| Feb-2006 | 33.40 | 602,224 | 62 | 74 | -1 |
| Mar-2006 | 33.37 | 601,399 | 4 | 124 | -1 |
| Apr-2006 | 33.21 | 596,317 | 24 | 161 | -18 |
| May-2006 | 33.02 | 589,852 | 65 | 170 | -36 |
| Jun-2006 | 32.86 | 583,728 | 122 | 170 | -19 |
| Jul-2006 | 32.78 | 580,489 | 124 | 154 | -26 |
| Aug-2006 | 32.71 | 577,886 | 152 | 170 | -39 |
| Sep-2006 | 32.65 | 575,210 | 149 | 146 | -52 |
| Oct-2006 | 32.59 | 572,859 | 22 | 145 | -64 |
| Nov-2006 | 32.38 | 563,357 | 16 | 91 | -48 |
| Dec-2006 | 32.24 | 556,601 | 127 | 66 | -57 |
| Jan-2007 | 32.24 | 556,601 | 51 | 79 | -56 |
| Feb-2007 | 32.14 | 551,711 | 63 | 73 | -53 |
| Mar-2007 | 32.07 | 548,103 | 16 | 118 | -83 |
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| True | False | |
| The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period. | ||
| Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period. | ||
| Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm. |
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Official Answer
The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period.: True
Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period.: False
Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm.: False
16 Dec 2024, 06:04
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Bunuel
Official Solution:
Statement 1:
Two data sets are positively correlated if they both tend to be higher in the same cases. They are negatively correlated if one tends to be higher in cases where the other is lower. For positively correlated data, their lines tend to slope up or down together; the more consistently this happens, the stronger the positive correlation. Conversely, when two data sets are negatively correlated, the line for one tends to slope up while the other slopes down, and vice versa. The more consistently these opposite slopes occur, the stronger the negative correlation. Thus, this statement is True.
Examining the table, we observe that the average water level and the average surface area move in the same direction; whenever one increases, the other also increases, and vice versa. Thus, we can conclude that the data are positively correlated.
Statement 2:
Examining the table, we observe that, in most cases, rainfall (mm) and evaporation (mm) do not move in opposite directions: when one increases, the other does not always decrease, and vice versa. Thus, we can conclude that the data are not negatively correlated. Thus, this statement is False.
Statement 3:
Sorting by rainfall, we observe that in Dec-2006, rainfall was more than 100 mm (127 mm), while evaporation was less than 100 mm (66 mm). Thus, this statement is False.
Correct answer:
The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period. "True"
Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period. "False"
Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm. "False"
Attachment:
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25 Dec 2024, 14:00
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1. The question asks us to check whether the following statements are true or false.
2. The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period. Let's check for each interval between months: + + + + + + + + + + + + + + + + + + + + 0 + +. The two values are clearly positively related. So, this statement is true.
3. Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period. Let's check for each interval between months: - - - + + - + 0 + + - + + 0 - + + + + - - - -. The two values are clearly not negatively related (most likely are unrelated). So, this statement is false.
4. Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm. December 2006 had rainfall at 127 (>100), however evaporation was 66 (100<). So, this statement is false.
2. The average water level (m) and the average surface area (m^2) were positively correlated during the two-year period. Let's check for each interval between months: + + + + + + + + + + + + + + + + + + + + 0 + +. The two values are clearly positively related. So, this statement is true.
3. Rainfall (mm) and evaporation (mm) were negatively correlated during the two-year period. Let's check for each interval between months: - - - + + - + 0 + + - + + 0 - + + + + - - - -. The two values are clearly not negatively related (most likely are unrelated). So, this statement is false.
4. Every month with rainfall exceeding 100 mm also had evaporation exceeding 100 mm. December 2006 had rainfall at 127 (>100), however evaporation was 66 (100<). So, this statement is false.
