Age Bone Density

40 350

45 348

53 341

57 327

63 324

The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y=b0+b1x y ^ = b 0 + b 1 x , for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6: Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 4 of 6: Find the estimated value of y when x=53x=53. Round your answer to three decimal places.

Step 5 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yy^.

Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places.