Scenario: Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students' academic records and retrieving their overall grade average from the school's system. The participants' scores are shown below.

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Using the chart (attached)Calculate the sum of squares (SS) for overall grade average using the computational formula.
**Scenario:** Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students’ academic records and retrieving their overall grade average from the school’s system. The participants’ scores are shown below.

| **Researcher 1: Typical Letter Grade** | **Researcher 2: Overall Grade Average** |
|----------------------------------------|-----------------------------------------|
| B                                      | 85                                      |
| A                                      | 96                                      |
| C                                      | 75                                      |
| B                                      | 86                                      |
| A                                      | 90                                      |
| D                                      | 60                                      |
| D                                      | 59                                      |
| B                                      | 84                                      |
| B                                      | 80                                      |
| C                                      | 70                                      |

This table compares the methods of measuring academic success by two researchers. Researcher 1 uses self-reported typical letter grades, while Researcher 2 uses overall grade averages from school records. The data shows variability in academic success as perceived by students versus recorded academic performance.
Transcribed Image Text:**Scenario:** Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students’ academic records and retrieving their overall grade average from the school’s system. The participants’ scores are shown below. | **Researcher 1: Typical Letter Grade** | **Researcher 2: Overall Grade Average** | |----------------------------------------|-----------------------------------------| | B | 85 | | A | 96 | | C | 75 | | B | 86 | | A | 90 | | D | 60 | | D | 59 | | B | 84 | | B | 80 | | C | 70 | This table compares the methods of measuring academic success by two researchers. Researcher 1 uses self-reported typical letter grades, while Researcher 2 uses overall grade averages from school records. The data shows variability in academic success as perceived by students versus recorded academic performance.
Expert Solution
Step 1: Given Information

The participant's overall grade average is,

Researcher 2: Overall Grade Average
85
96
75
86
90
60
59
84
80
70

The number of observations, n equals 10


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