Complete the sentence: the best-fitting regression line can be used to _____.
a. find the actual value of the dependent variable for a given independent variable
b. estimate or predict the value of the dependent variable for a given independent variable
c. calculate the correlation coefficient
d. all of the above
e. none of the above

Respuesta :

The regression line provides an estimate of the dependent value. It can only predict the actual value if the correlation coefficient is ±1. The most appropriate choice is ...

... b. estimate or predict the value of the dependent variable for a given independent variable

Answer:

 

b. estimate or predict the value of the dependent variable for a given independent variable

Step-by-step explanation:

In statistics linear regression is a mathematical model used to approximate the dependency relationship between a dependent variable [tex]Y[/tex], and one or more independent variables [tex](X_1,X_2,...X_i)[/tex], and a random term [tex]\varepsilon[/tex]. In the simplest case, with a single explicit variable, this is simply a straight line:

[tex]Y=\beta_o + \beta_1 X[/tex]

Where [tex]\beta_o[/tex] and [tex]\beta_1[/tex] are parameters that define the position and inclination of the line.