Question

question 1 - 15
a teacher collects data that compares how long each student studied and their test score. she found the line of best fit to represent this data, and it is represented by the equation ( y = 14.65x + 12.79 ), where ( x ) is the hours studied, and ( y ) is the test score.
if a student studied for 4 hours, what is the best prediction for their test score, based on the equation for the line of best fit?

• 0.6
• 82
• 71
• 100

Explanation:

Step1: Substitute \(x = 4\) into the equation

Given \(y=14.56x + 12.79\), substitute \(x = 4\). So, \(y=14.56\times4+12.79\).

Step2: Calculate \(14.56\times4\)

\(14.56\times4=(14 + 0.56)\times4=14\times4+0.56\times4=56+2.24 = 58.24\).

Step3: Calculate \(y\)

\(y=58.24+12.79\). Using addition: \(58.24+12.79=(58+12)+(0.24 + 0.79)=70+(1.03)=71.03\approx71\).

Answer:

71