3. 3. The table below gives the age and bone density for five randomly selected women. Using...

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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.

Answer & Explanation Solved by verified expert
4.3 Ratings (921 Votes)
Solution Here we have to construct the regression model for the prediction of the dependent variable bone density based on the independent variable age Required regression model is given as below Regression Statistics Multiple R 0908424493 R Square 082523506 Adjusted R Square    See Answer
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