3.
3. The table below gives the age and bone density for fiverandomly selected women. Using this data, consider the equation ofthe regression line, yˆ=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 | 41 | 44 | 45 | 60 | 62 |
Bone Density | 355 | 353 | 345 | 336 | 315 |
Step 1 of 6: Find the estimated slope. Roundyour answer to three decimal places.
Step 2 of 6: Find the estimatedy-intercept. Round your answer to three decimalplaces.
Step 3 of 6: Determine if the statement \"Notall points predicted by the linear model fall on the same line\" istrue or false.
Step 4 of 6: Substitute the values you found insteps 1 and 2 into the equation for the regression line to find theestimated linear model. According to this model, if the value ofthe independent variable is increased by one unit, then find thechange in the dependent variable yˆ.
Step 5 of 6: Find the estimated value ofy when x=44. Round your answer to three decimalplaces.
Step 6 of 6: Find the value of the coefficientof determination. Round your answer to three decimal places.