Intuitively, the line that best fits plotted data will be the line that ______Multiple choice question.intersects with the most number of points.has a slope the closest to zero.minimizes the residuals.connects the first and last points.

Choose the correct statement about best-fit lines. Group of answer choicesA best-fit line describes the exact coordinates of each point in the data set.A best-fit line is close to most of the data points.A best-fit line must go through at least two of the data points.A best-fit line always has a positive slope.

In choosing the best fitting line through a set of points in a linear regression, we choose the one with the __________. a. smallest sum of squared residuals b. largest sum of squared residuals c. smallest sum of squared error d. a and c

The best-fitting line minimizes the residuals.Group of answer choicesTrueFalse

We want to find the line 𝑦=𝑚𝑥+𝑐y=mx+c that best fits these data points in the least squares sense, where 𝑚m is the slope and 𝑐c is the y-intercept.

42.In practice, the line of best fit or regression line is found when:  A. Sum of the square of residuals ( ? (Y-h(X))2) is minimum  B. Sum of residuals (?(Y – h(X))) is minimum  C. Sum of the absolute value of residuals (?|Y-h(X)|) is maximum  D. Sum of the square of residuals ( ? (Y-h(X))2) is maximum