Question

The table below gives the birth weights of five randomly selected mothers and the birth weights of their babies. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the birth weight of a baby based on the mother's birth weight. 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.

Mother	5.4	5.7	5.9	6.6	7.3
Baby	6.4	7.9	8.2	8.3	8.8

Step 1 of 6:

Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:

Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6:

Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable y^.

Step 4 of 6:

Find the estimated value of y when x=7.3. Round your answer to three decimal places

Step 5 of 6:

Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6:

Find the value of the coefficient of determination. Round your answer to three decimal places.

Answer 1

The statistical software output for this problem is :

Step - 1) Slope = 0.963

Step - 2) Y-intercept = 1.966

Step - 3) the change in the dependent variable ˆy is = slope = 0.963

Step - 4) estimated value = 8.999

Step - 5) false

Step - 6) the coefficient of determination = 0.659