Question

Which of the following statements is NOT correct?

a. lm means linear model and this is the function that finds the line that minimizes the distance to each point simultaneously
b. lm means linear model and this is the function that finds the line that maximizes the distance to each point simultaneously
c. When we use = in R, we are actually storing the result in that variable
d. The dependent variable always comes first in the lm function call

Answer 1

The incorrect statement is b. 'lm' in R refers to a linear model function that finds the line that minimizes, not maximizes, the distance to each point simultaneously. The other statements are correct regarding variable assignment in R and the order of variables in the lm function.

Step-by-step explanation:

The statement that is NOT correct is: b. lm means linear model and this is the function that finds the line that maximizes the distance to each point simultaneously. In the context of R, the lm function is used for linear regression and it finds the line that minimizes the sum of the squared distances (least squares) between the observed values (data points) and the values predicted by the linear model.Using = in R stores the result in a variable, and within the lm function call, the dependent variable comes before the independent variables, which is consistent with the form y = a + bx, where y is the dependent variable, and x is the independent variable. Thus, statements a, c, and d are correct.The correct form of a linear equation in algebra is y = mx + b, and in statistics, y = a + bx, where a is the y-intercept and b is the slope of the line. The linear model or regression line is used to approximate relationships between two quantitative variables and is calculated via the least-squares method.