Question

1. Assume that a linear model might capture the relationship between these variables. Estimate the parameters of a linear model for these data. Here are a few building blocks to help you: M_x= 1.87, SD_x= 0.82; M_y= 15.55, SD_y= 12.86; r_xy= 0.55.

2. Given the parameters you calculated for this model, how well does the model capture the data (i.e. Calculate R²[Show all your work], what does it indicate)?

3. Imagine someone else proposed an alternative model with the form: Y = a + bX², with a = 0.2 and b = 3.5. Which of these models (the one proposed here or the one proposed in question one) best describes the data? How do you know this?

4. How much error variance would there be if we came up with the worst fitting model possible (i.e., what value of error variance would represent the worst our model could possibly do)?

Answer 1