The table below gives the age and bone density for five randomly sellected women

Question

The table below gives the age and bone density for five randomly sellected women. Using this data, consider the equation of the regression line ybo tbi, 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 33 43 9 64 65 Bone Density 352 332 324 322 314 Age Table Copy Data Step 1 of 6: Find the estimated slope. Round your anwer to three decimal places Prev AnswerHow to Enr) 2 Points Keypad 557890

Explanation / Answer

The regression equation is

y=a+bx

from Excel

The fitted model is

y=380.044 -0. 97 (Age)

Hence slope is -0.97

if we change 1 unit is age then there is -0.97 units decrease in Y

SUMMARY OUTPUT Regression Statistics Multiple R 0.949423 R Square 0.901405 Adjusted R Square 0.86854 Standard Error 5.244187 Observations 5 ANOVA df SS MS F Significance F Regression 1 754.2955 754.2955 27.42743 0.01355 Residual 3 82.5045 27.5015 Total 4 836.8 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 380.044 10.0619 37.77061 4.08E-05 348.0225 412.0654 348.0225 412.0654 Age -0.97053 0.185317 -5.23712 0.01355 -1.56029 -0.38077 -1.56029 -0.38077

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