Problem 6. A researcher is trying to determine how class attendance and sleep impacts student test scores. From her data, she generates a function G = f(x, z) that approximates the gra student gets on an exam (points) when the student attends a lectures and sleeps for z hours. Some values of G = f(x, z) are given in the table below. 2x02 4 6 8 10 4 44 60 75 86 90 92 52 68 80 91 95 96 54 72 82 93 96 97 74 81 94 97 97 68 10 55 A. Estimate f. (6, 8) using a central difference. B. Interpret the meaning of f. (6, 8) in context of the situation.

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Problem 6. A researcher is trying to determine how class attendance and sleep impacts student test scores. From her data, she generates a function G = f(x, z) that approximates the grade a
student gets on an exam (points) when the student attends a lectures and sleeps for z hours. Some values of G = f(x, z) are given in the table below.
2x02
4 6 8
10
4
44
60 75 86 90 92
6
52
68 80 91 95 96
8
54 72 82 93 96 97
10
55 74
81 94 97 97
A. Estimate f. (6, 8) using a central difference.
B. Interpret the meaning of fz (6, 8) in context of the situation.
Transcribed Image Text:Problem 6. A researcher is trying to determine how class attendance and sleep impacts student test scores. From her data, she generates a function G = f(x, z) that approximates the grade a student gets on an exam (points) when the student attends a lectures and sleeps for z hours. Some values of G = f(x, z) are given in the table below. 2x02 4 6 8 10 4 44 60 75 86 90 92 6 52 68 80 91 95 96 8 54 72 82 93 96 97 10 55 74 81 94 97 97 A. Estimate f. (6, 8) using a central difference. B. Interpret the meaning of fz (6, 8) in context of the situation.
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