A TSN analyst collected data relating to the free throw percentage of 400 basketball players.He recorded average number of free throws taken per game,height of player,position played (guard,centre,etc.),and what routine they follow before shooting (dribble once,spin ball on hand,etc.).
A)Average number of free throws per game,quantitative,number of games; height of player,quantitative,centimetres; routine before shooting,categorical.
B)Average number of free throws per game,quantitative,number of free throws; height of player,quantitative,centimetres; position played,categorical; routine before shooting,quantitative,number of habits.
C)Average number of free throws per game,quantitative,number of free throws; height of player,quantitative,centimetres; position played,categorical; routine before shooting,categorical.
D)Average number of free throws per game,quantitative,number of free throws; height of player,quantitative,centimetres; position played,categorical.
E)Average number of free throws per game,quantitative,number of free throws; height of player,quantitative,centimetres; position played,quantitative,position; routine before shooting,categorical.

Question

Quizplus · Accepted Answer

The best choice includes the quantitative variable of the average number of free throws per game, the quantitative variable of height of player in centimetres, the categorical variable of position played, and the categorical variable of routine before shooting. This combination of variables allows for a comprehensive analysis of factors that may affect free throw percentage, such as player position and pre-shot routine. The number of free throws taken is not necessary as this is already included in the calculation of the free throw percentage. Position played should be a categorical variable as there are specific positions in basketball (guard, centre, etc.) and not a quantitative variable. The routine before shooting is a categorical variable since there are distinct habits that players may have before taking a free throw. Thus, choice C is the best option.

A TSN Analyst Collected Data Relating to the Free Throw