The problem asks to predict the scores for how successful people will be based on how much they study, using the line of best fit equation from problem 7. We are given four values of $x$, which represent the amount of study, and need to find the corresponding predicted scores. However, the equation from problem 7 is missing. I will assume the equation is $y = 2x + 5$, where $y$ is the predicted score and $x$ is the amount of study.

Applied MathematicsLinear EquationsModelingPredictionRegression Analysis
2025/5/8

1. Problem Description

The problem asks to predict the scores for how successful people will be based on how much they study, using the line of best fit equation from problem

7. We are given four values of $x$, which represent the amount of study, and need to find the corresponding predicted scores. However, the equation from problem 7 is missing. I will assume the equation is $y = 2x + 5$, where $y$ is the predicted score and $x$ is the amount of study.

2. Solution Steps

Assuming the line of best fit equation is y=2x+5y = 2x + 5.
a. For x=1.20x = 1.20, we have y=2(1.20)+5=2.40+5=7.40y = 2(1.20) + 5 = 2.40 + 5 = 7.40.
b. For x=3.33x = 3.33, we have y=2(3.33)+5=6.66+5=11.66y = 2(3.33) + 5 = 6.66 + 5 = 11.66.
c. For x=0.71x = 0.71, we have y=2(0.71)+5=1.42+5=6.42y = 2(0.71) + 5 = 1.42 + 5 = 6.42.
d. For x=4.00x = 4.00, we have y=2(4.00)+5=8.00+5=13.00y = 2(4.00) + 5 = 8.00 + 5 = 13.00.

3. Final Answer

Assuming the line of best fit equation is y=2x+5y = 2x + 5:
a. For x=1.20x=1.20, the predicted score is 7.407.40.
b. For x=3.33x=3.33, the predicted score is 11.6611.66.
c. For x=0.71x=0.71, the predicted score is 6.426.42.
d. For x=4.00x=4.00, the predicted score is 13.0013.00.

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