An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown. Number of absences

26

29

32

34

36

37

Final grade

48

68

66

69

76

67

Simple linear equation is :

Y = 86.784 - 2.67x

Step-by-step explanation:

The educator wants to see the relationship between no of absences and final grades of the student. No. of absence of student is independent variable while final grade is dependent variable. The final grades of the student are dependent on the no. of absence they do.

b = Sxy / Sxx

b =  { 2312 [ 37 * 422 ] / 6 } / 337 - 37^2 / 6 = -2.67

a = -2.67 * 37/6 = 86.784

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.