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 | 3434 | 3535 | 4141 | 4646 | 5959 |
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| Bone Density | 349349 | 340340 | 325325 | 320320 | 318318 |
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Table
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Step 1 of 6 :Â Â
Find the estimated slope. Round your answer to three decimalplaces
Step 2 of 6: Find the estimated y-intercept. Round your answerto three decimal places.
Step 3 of 6: Determine if the statement \"Not all pointspredicted by the linear model fall on the same line\" is true orfalse.
Step 4 of 6: Determine the value of the dependent variable ˆy atx = 0.
Step 5 of 6: According to the estimated linear model, if thevalue of the independent variable is increased by one unit, thenthe change in the dependent variable ˆy is given by?
Step 6 of 6: Find the value of the coefficient of determination.Round your answer to three decimal places
