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

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 Link

carlos2112 carlos2112 · Answer 2 · 2020-04-26T04:02:01+02:00

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.