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 36 39 48 53 58
Bone Density 358 351 330 325 314
Table

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

Answer 1

Answer:

-1.973

Step-by-step explanation:

Given the data :

Age 36 39 48 53 58

Bone Density 358 351 330 325 314

Equation of regression line is in the form:

yˆ=b0+b1x

Where y = predicted variable ;

b0 = intercept ; b1 = slope or gradient ; x = predictor variable

Using The correlation Coefficient calculator :

The regression equation obtained is :

ŷ = -1.97316X + 427.94399

From the equation ;

The slope or gradient (b1) = - 1.97316

Hence, estimated slope to 3 decimal places is : - 1.973