g. Use the model to predict the GPA of a college student who as had 7 lovers. GPA = (Please round your answer to one decimal place.) h. Interpret the slope of the regression line in the context of the question: As x goes up, y goes down. The slope has no practical meaning since a GPA cannot be negative. For every additional lover students have, their GPA tends to decrease by 0.22. i. Interpret the y-intercept in the context of the question: If a student has never had a lover, then that student's GPA will be 3.42. The best prediction for the GPA of a student who has never had a lover is 3.42. The average GPA for all students is predicted to be 3.42. The y-intercept has no practical meaning for this study.
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Given: - Slope (b) = -0.22 - Y-intercept (a) = 3.42 - Number of lovers (x) = 7 The predicted GPA (y-hat) can be calculated using the formula: \[ \hat{y} = a + bx \] Substitute the values: \[ \hat{y} = 3.42 - 0.22 \times 7 \] \[ \hat{y} = 3.42 - 1.54 \] \[ Show more…
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