The table below gives the age and bone density for five randomlyselected women. Using this data, consider the equation of theregression line, yˆ=b0+b1xy^=b0+b1x, for predicting a woman's bonedensity based on her age. Keep in mind, the correlation coefficientmay or may not be statistically significant for the data given.Remember, in practice, it would not be appropriate to use theregression line to make a prediction if the correlation coefficientis not statistically significant.
| Age | 3737 | 3939 | 4040 | 5050 | 6464 |
|---|
| Bone Density | 357357 | 347347 | 344344 | 343343 | 336336 |
|---|
Step 4 of 6:
Substitute the values you found in steps 1 and 2 into theequation for the regression line to find the estimated linearmodel. According to this model, if the value of the independentvariable is increased by one unit, then find the change in thedependent variable yˆy^.
Step 6 of 6:
Find the value of the coefficient of determination. Round youranswer to three decimal places.
