Question

a student kept a record of how much time he spent studying for each of his 20 - point health quizzes and his 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 9 12 14 13 16 16 18 20
a. the student has to study for 1.25 hours to earn a quiz score of 13
b. when the student studies for 1.25 hours, his quiz score will be 13
c. when the student studied for 1.25 hours, his quiz score was 13
c. create a scatter diagram of the paired data. choose the correct diagram below.

Explanation:

Step1: Identify the axes of the scatter - diagram

In a scatter - diagram for the relationship between hours spent studying (independent variable) and quiz score (dependent variable), the x - axis should be labeled "Hours spent studying" and the y - axis should be labeled "Quiz score".

Step2: Analyze each option

• Option A: The x - axis is "Hours spent studying" and the y - axis is "Quiz score". The points are plotted according to the data: when \(x = 0.50,y = 9\); \(x=0.75,y = 12\); \(x = 1.00,y=14\); \(x = 1.25,y = 13\); \(x=1.50,y = 16\); \(x = 1.75,y = 16\); \(x = 1.75,y = 18\); \(x=2.00,y = 20\).
• Option B: The data points do not match the given data in the table. For example, when \(x = 0.50\), the \(y\) - value in option B is not 9.
• Option C: The axes are reversed (x - axis is "Quiz score" and y - axis is "Hours spent studying"), which is incorrect for the relationship of hours spent studying (cause) and quiz score (effect).

Answer:

A.