Question: Need help with a explanation For parts a) and b), assume that the meanofcomposite ACT scores is 20 and the standard deviation is 6.(Note: the
Need help with a explanation
For parts a) and b), assume that the meanofcomposite ACT scores is 20 and the standard deviation is 6.(Note: the ACT is a common standardized test used for college admissions decisions.)
a) You have a hypothesis thatamount of time spent studying has a linear relationship with performance on the ACT.When you estimate the parameters of your model, you find that error variance is6.What is the R-squared for your model ?
b)Imagine that another researcher (Researcher B) believed that the relationship betweentime spent studying is quadratic in form(i.e., takes the form Y = a + bX2). When Researcher B estimates the parameters oftheirmodel,theyfind that the error variance is8. What is R-squared for researcher B's model ?
c)Based on your answers to parts a and b above, which model better accounts for the data,yoursor Researcher B's? Why? In your explanation, be specific about what R-squared captures about a model.
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