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Two students withheld their scores to determine the strength of the model. Using the actual line of best fit equation, predict their scores based on their hours worked.

Actual Line of Best Fit y=4.81x+17.4

Enter the predicted scores into the table here. Round to the nearest whole number.

hours(x) 15 and 9

1 answer

To predict the scores based on the hours worked using the line of best fit equation \( y = 4.81x + 17.4 \):

  1. For \( x = 15 \) hours: \[ y = 4.81(15) + 17.4 \] \[ y = 72.15 + 17.4 = 89.55 \] Rounding to the nearest whole number gives \( 90 \).

  2. For \( x = 9 \) hours: \[ y = 4.81(9) + 17.4 \] \[ y = 43.29 + 17.4 = 60.69 \] Rounding to the nearest whole number gives \( 61 \).

So the predicted scores are:

  • For 15 hours: 90
  • For 9 hours: 61