Question

interpreting data
grabbing pretzels
the scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters.
scatterplot: x - axis: number of pretzels (8,12,16,20,24,28); y - axis: handspan (cm) (17 - 26). a red line is drawn through the points.
the equation of the line \\(\hat{y} = - 14.7 + 1.59x\\) is called the least - squares regression line because it
option 1: is least able to make accurate predictions for the data.
option 2: maximizes the sum of the squared vertical distances from the points to the line.
option 3: passes through each data point.
option 4: minimizes the sum of the squared vertical distances from the points to the line.

Explanation:

La recta de regresión de mínimos cuadrados se define como la línea que reduce al mínimo la suma de los cuadrados de las distancias verticales entre los puntos de datos y la línea. Las otras opciones son incorrectas: no pasa por cada punto, no maximiza esas distancias y sí es la que hace predicciones más precisas.

Answer:

minimizes the sum of the squared vertical distances from the points to the line.