the graph shows the best - fit regression model for a set of data comparing the number of hours spent hiking…

the graph shows the best - fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day. which is most likely true of the data set represented by the regression model on the graph? each point in the data set falls on the regression line. the regression model is an accurate representation of the distance for any number of hours hiked. each point in the data set is near the regression line. the regression model is inaccurate, as it does not begin at (0, 0).

the graph shows the best - fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day. which is most likely true of the data set represented by the regression model on the graph? each point in the data set falls on the regression line. the regression model is an accurate representation of the distance for any number of hours hiked. each point in the data set is near the regression line. the regression model is inaccurate, as it does not begin at (0, 0).

Answer

Explanation:

Step1: Understand regression model concept

A regression line is a best - fit line for a set of data points. Not all data points fall exactly on the line.

Step2: Analyze each option

  • Option 1: In real - world data sets, it is rare for each point to fall on the regression line.
  • Option 2: The regression model gives an estimate, not an exact representation for any number of hours hiked. There is always some error.
  • Option 3: A best - fit regression line is such that the data points are near the line. This is the purpose of a best - fit line.
  • Option 4: The regression line does not have to start at (0, 0). Its position is determined by minimizing the sum of the squared distances of the data points from the line.

Answer:

Each point in the data set is near the regression line.