Question

1. teachers always say that there is a relationship between absences and overall grade. consider the table below comparing the number of days students in math 128 were absent or tardy compared to their overall grade.

a. type this data into a spreadsheet. use the spreadsheet to make a scatter plot. does the data suggest a linear like pattern?
b. use the spreadsheet application to calculate the line of best fit. write your equation below.
c. interpret the meaning of the slope of the equation that you found.
d. interpret the meaning of the y - intercept of the equation you found.
e. assume that student is absent or tardy from 8 classes. use your equation to predict the grade for this student. show work
f. do you think excessive absences is the cause of grades decreasing? explain.

Explanation:

Step1: Substitute \(x = 8\) into the equation \(y=-2.7739x + 90.133\)

$$y=-2.7739\times8 + 90.133$$

Step2: Calculate the product

$$-2.7739\times8=-22.1912$$

Step3: Calculate the sum

$$y=-22.1912 + 90.133$$
$$y = 67.9418\approx68$$

Answer:

The predicted grade for a student with 8 absences or tardies is approximately 68.