Question

A) choose the linear model that passes through the most data points on the scatterplot.

a. true. choose the linear model that passes through the most data points on the scatterplot.
b. false. the line usually touches none of the points. minimize the sum of the squared errors.
c. false. all of the data points either touch the line or fall below the line.
d. false. the linear model line usually passes through exactly half of the data points.

Answer 1

Answer: b

Step-by-step explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is
`e_(i)`.
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize
`\sum_(i=1)^(n) e_(i)^(2)`.