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without a graph use this information:

Make a prediction for a student who studies 6 hours on what their math grade will be: 90%, 95%, 75%

Make a prediction of how many hours a student would need to study for a grade of 40%: 1, 2, 0

Write an equation for line of the best fit: y = 6x + 55, y = -6x + 55, y = 25x + 40

1 answer

Based on the information provided, here are the predictions and analysis:

  1. Prediction for a student who studies 6 hours:

    • The options given for the grade are 90%, 95%, and 75%.
    • If we assume that more study time correlates with a better grade, we might predict a higher grade for a student who studies 6 hours. Thus, 90% or 95% would be more reasonable predictions. Without additional context or data trends, we might lean toward predicting 95%, as it implies a good correlation between study time and performance.

  2. Prediction of how many hours a student would need to study for a grade of 40%:

    • The options given are 1, 2, and 0 hours.
    • Because a grade of 40% is not passing, it is reasonable to predict that a minimal amount of study may still yield a failing grade. Therefore, 0 hours could be interpreted as the least study needed, but realistically, a student might still need at least 1 hour of study to achieve even a 40%. Thus, it's fair to predict 1 hour.

  3. Equation for the line of best fit:

    • Given the equations provided: y = 6x + 55, y = -6x + 55, and y = 25x + 40, the equation that resembles a positive relationship between study hours (x) and grades (y) would be y = 6x + 55, as it indicates that as hours of study increase, grades increase as well.
    • The other two equations imply a negative relationship or a very steep increase, which doesn’t align with the normal expectation of studying more yielding better grades.

In summary:

  • Predicted grade for 6 hours of study: 95%
  • Hours needed for a grade of 40%: 1 hour
  • Equation for the line of best fit: y = 6x + 55