Asked by Rhetori Thompson on Jun 24, 2024

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Using the regression formula with a slope = 0.904 and an intercept = 0.719,what would the predicted college GPA be for a student whose current high school GPA = 3.2?

A) 2.69
B) 2.33
C) 3.61
D) 3.20

Slope

The measure of the steepness or incline of a line, typically representing the rate of change between two variables in a linear relationship.

Intercept

The point where a line crosses the y-axis in a graph, representing the value of the dependent variable when the independent variable is zero.

Predicted GPA

An estimate of a student's grade point average based on various predictive factors or models.

  • Utilize linear regression equations to forecast results from specified predictor variables.
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ES
Ethan ShapiroJun 30, 2024
Final Answer :
C
Explanation :
The regression formula is:

predicted college GPA = slope(hs GPA) + intercept

Substituting the given values:

predicted college GPA = 0.904(3.2) + 0.719 = 3.6118

Rounding off to two decimal places:

predicted college GPA = 3.61

Therefore, the predicted college GPA for a student with a high school GPA of 3.2 is 3.61, which is Option C.