Let’s assume we know that age is related to bone density, with a Pearson correlation coefficient of −0.19. (Notice that the correlation is negative, indicating that bone density tends to be lower at older ages than at younger ages.) Assume we also know the following descriptive statistics: Age of people studied: 55 years on average, with a standard deviation of 12 years Bone density of people studied: 1000 mg/cm 2 on average, with a standard devi ation of 95 mg/cm 2 Virginia is 76 years old. What would you predict her bone density to be? To answer this question, complete the following steps:

a. Transform the raw score for the independent variable to a z score. 

b. Calculate the predicted z score for the dependent variable. 

c. Transform the z score for the dependent variable back into a raw score. 

d. Calculate the y intercept, a. 

e. Calculate the slope, b. 

f. Write the equation for the line. 

g. Draw the line on an empty scatterplot, basing the line on predicted Y values for X values of 0, 1, and 18.