You decide to conduct a multivariate investigation using multiple linear regression. You have the following three IVs: Income, age, gender and you are interested in predicting how left-leaning an individual is, on a scale where 0 means right, and 10 means left. You calculate the following regression line formula for your model: y = 0.2 + 1X(income) + 3X(age) + 2X(gender). You calculate R squared as 0.52 and the p-value for b for income is 0.09, age is 0.002, and gender is 0.0001. You also calculate beta, so you can compare the effect of each IV on the DV. Beta for income is 0.1, age is 0.27, and gender is -0.34. How much variance in the DV is explained by our model? Which IVs are statistically significant? What is the slope for the relationship between the age IV and the DV? Which IV has the largest effect on the DV? What is one potential problem with our model? (Hint: see lecture 22, slides 9 - 13)