Answer:
a.the goodness of fit for the estimated multiple regression equation increases.
Step-by-step explanation:
As the value of the multiple coefficient of determination increases,
a. the goodness of fit for the estimated multiple regression equation increases.
As we know that the coefficient of determination measures the variability of response variable with the help of regressor. As we know that if the value of the coefficient of determination increases strength of fit also increases.
Hey there!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:

Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:

4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:

That's because 6/3 = 2.
Hope this helps!
Answer:
We are given the correlation between height and weight for adults is 0.40.
We need to find the proportion of the variability in weight that can be explained by the relationship with height.
We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.