Question

the effects of studying on student test scores
maggie conducted an experiment investigating the effects of studying on science test scores.
1 describe the relationship indicated by the graph.
2 based on this trend, what score could maggie expect if she spent 35 minutes studying? explain your answer.

Explanation:

Step1: Identify the relationship

The graph shows a positive - linear relationship. As the time spent studying increases, the test score also increases.

Step2: Estimate the score for 35 minutes

First, find the slope between two clear points. Let's take (0, 40) and (10, 50). The slope $m=\frac{50 - 40}{10-0}=1$. The y - intercept $b = 40$. The linear equation is $y=x + 40$.
Substitute $x = 35$ into the equation: $y=35 + 40=75$.

Answer:

1. The relationship indicated by the graph is a positive - linear relationship. As the time spent studying increases, the student test score increases.
2. Maggie could expect a score of 75 if she spent 35 minutes studying. This is because the relationship appears to be linear with a slope of 1 and a y - intercept of 40, and using the equation $y=x + 40$, when $x = 35$, $y=75$.