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Question
a student kept a record of how much time she spent studying for each of her 20 - point psychology quizzes and her score on each quiz. complete parts a through d below
hours spent studying 0.50 0.75 1.00 1.25 1.50 1.75 1.75 2.00
quiz score 10 11 12 14 15 15 18 20
a. write each paired data as an ordered pair of the form (hours spent studying, quiz score). choose the set of ordered pairs that represents the paired data in the correct form below
a (10,0.50),(11,0.75),(12,1.00),(14,1.25),(15,1.50),(15,1.75),(18,1.75),(20,2.00)
b (0.50,10),(0.75,11),(1.00,12),(1.25,14),(1.50,15),(1.75,15),(1.75,18),(2.00,20)
c (10,11),(12,14),(15,15),(18,20),(0.50,0.75),(1.00,1.25),(1.50,1.75),(1.75,2.00)
b. what is the meaning of the ordered pair (1.25,14)? choose the sentence below that best describes the meaning of the ordered pair
a the student has to study for 1.25 hours to earn a quiz score of 14
b when the student studied for 1.25 hours, her quiz score was 14
c when the student studies for 1.25 hours, her quiz score will be 14
c. create a scatter diagram of the paired data. choose the correct diagram below
For part a, an ordered pair is of the form (independent variable, dependent variable). Here, hours spent studying is the independent variable and quiz score is the dependent variable. So we pair each hour value with its corresponding quiz - score value.
For part b, an ordered pair (x,y) in the context of (hours spent studying, quiz score) means when the value of the independent variable (hours spent studying) is x, the value of the dependent variable (quiz score) is y.
For part c, in a scatter - diagram, the x - axis represents the hours spent studying (ranging from 0 to 2) and the y - axis represents the quiz score (ranging from 0 to 20). We plot each ordered pair (h,s) where h is hours spent studying and s is quiz score.
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a. B. \((0.50,10),(0.75,11),(1.00,12),(1.25,14),(1.50,15),(1.75,15),(1.75,18),(2.00,20)\)
b. B. When the student studied for 1.25 hours, her quiz score was 14
c. A (assuming the x - axis is hours spent studying (0 - 2) and y - axis is quiz score (0 - 20) and points are plotted correctly as per the ordered pairs)