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Answer :
We estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.
In this question, we are given an equation that models the relationship between IQ scores (x) and the grade-point averages (y) after the first year of school. The equation is y = 0.063x - 4.759. We need to estimate the values of x that predict a grade-point average of at least 3.0.
To do this, we can set up the equation y = 3.0 and solve for x.
3.0 = 0.063x - 4.759
7.759 = 0.063x
x = 123
Therefore, we estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.
In conclusion, we estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.
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