Question

Please help me yall

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 45.
Homework Grade (x) Test Grade (y)
78
66
89
76
54
42
86
90
74
68
73
73
86
84
63
54
64
54

Answer 1

Answers in bold:

• Regression equation: y = 1.2x - 21.3
• Final Answer: 33

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Step-by-step explanation:

I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.

The tool I used is GeoGebra and the regression equation it produced was

y = 1.2x - 21.3

Each decimal value is approximate and rounded to the nearest tenth.

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Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.

y = 1.2x - 21.3

y = 1.2*45 - 21.3

y = 32.7

y = 33

If a student got a 45 on a homework, then we predict their test grade should be around 33.