lizs math test included a survey question asking how many hours students spent studying for the test. the…

lizs math test included a survey question asking how many hours students spent studying for the test. the scatter plot below shows the relationship between how many hours students spent studying and their score on the test. which of the following is the best estimate of the average score change associated with a 1 hour increase in study time? choose 1 answer: a 20 points b 5 points c 2 points d 1 point

lizs math test included a survey question asking how many hours students spent studying for the test. the scatter plot below shows the relationship between how many hours students spent studying and their score on the test. which of the following is the best estimate of the average score change associated with a 1 hour increase in study time? choose 1 answer: a 20 points b 5 points c 2 points d 1 point

Answer

Explanation:

Step1: Recall slope concept

The average score change associated with a 1 - hour increase in study time is the slope of the line of best - fit for the scatter plot. If we assume a linear relationship between study time and test score, the slope $m$ of the line $y = mx + b$ represents the change in $y$ (test score) for a unit change in $x$ (study time).

Step2: Estimate from typical scatter - plot trends

In many real - world scatter plots of study time and test scores, the relationship is positive but not extremely steep. A slope of 20 points per hour is very high. A slope of 1 point per hour is too low. A slope of 5 points per hour is a reasonable estimate for the increase in test score for each additional hour of study. A slope of 2 points per hour is also relatively low for the relationship between study time and test score in a typical scenario.

Answer:

B. 5 points