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nanagardiner08
29.01.2021 •
Mathematics
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 34.
hw test
78 77
63 60
54 41
74 69
86 84
72 77
85 77
90 90
Regression Equation:
Final
Solved
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Ответ:
(a+b)² =a²+2 a b+b², or: (a-b)²=a²-2 a b+b²
In this case: a=x, 2 x b = 16 x ⇒ b=8 , b²=8²=64
(x-8)²=x²- 16 x + 64