Question

1. is there a relationship between a scholars grades in math (x) and science (y)? use the scatter plot to justify your response. student 1 2 3 4 5 6 7 8 9 10 students math 67 51 87 36 56 44 72 63 45 93 x- axis science 71 69 85 35 60 47 74 63 46 96 y- axis

Explanation:

Step1: Analyze the trend

We can observe the pairs of (Math grade, Science grade) for each student. As the Math grade (x - value) generally increases, the Science grade (y - value) also tends to increase. For example, when Math is 36 (low), Science is 35 (low); when Math is 93 (high), Science is 96 (high). The points would show an upward - sloping pattern if we plot them.

Step2: Confirm the relationship type

This indicates a positive linear relationship between a scholar's math grade and science grade. The scatter plot (if we were to plot these points) would show a general trend where as one variable (math grade) increases, the other variable (science grade) also increases, which is characteristic of a positive correlation.

Answer:

Yes, there is a positive relationship between a scholar's grades in math and science. As a scholar's math grade (x) generally increases, their science grade (y) also tends to increase (e.g., lower math grades like 36, 44, 45 correspond to lower science grades like 35, 47, 46; higher math grades like 87, 93 correspond to higher science grades like 85, 96). This suggests a positive linear relationship.