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, yˆ=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 43 49 53 60 65

Bone Density 358 352 349 343 312 Table

Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.

2 of 6 : find the estimated y intercept. round to 3 decimal places

3 of 6: find the value of y when x =53

4 of 6: according to the regression line, if the value of the independent variable increased by one unit, what is the change in the dependent variable y?

5 of 6:determine the value of the dependent variable y at x=0

a) b0

b)b1

c) x

d) y

6 of 6 : enter the value of the coefficient determination. round ti 3 decimal places

Answer 1

The statistical software output for this problem is :

Step - 1) Slope = -1.832

Step - 2) Y-intercept = 441.741

Step - 3) value of y = 344.632

Step - 4)  the change in the dependent variable ˆy is = slope = -1.832

Step - 5) b1

Step - 6) the coefficient of determination = 0.783