Question

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 ˆ = b 0 + b 1 x y^=b0+b1x , 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. Age 48 48 51 51 56 56 60 60 69 69 Bone Density 351 351 320 320 318 318 311 311 310 310 Table Copy Data Step 2 of 6 : Find the estimated y-intercept. Round your answer to three decimal places.

Answer 1

Following table shows the calculations:

	X	Y	X^2	Y^2	XY
	48	351	2304	123201	16848
	51	320	2601	102400	16320
	56	318	3136	101124	17808
	60	311	3600	96721	18660
	69	310	4761	96100	21390
Total	284	1610	16402	519546	91026

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Conclusion: There is not a significant correlation between the variables.

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Answer:

The required regression equation is:

y' = -1.558*x + 410.511