1. The following data were analyzed: x, y 2, 37.5 4, 9.4 6, 4.2 8, 2.3 10, 1.5 A

Question

1. The following data were analyzed:

x, y
2, 37.5
4, 9.4
6, 4.2
8, 2.3
10, 1.5

A plot of y vs. x does NOT yield a straight line. Further analysis showed the data fit the following equation: x2y = 150. What would you need to plot to illustrate the straight line relationship for this data?

y vs. 1/x2
y vs. x3
y vs. x
y vs. x2
y vs. 1/x3
y vs. 1/x

2. A plot of y vs. 1/x3 yields a straight line with a slope = 32. The equation that represents this straight line is

x = 4y3
y = 32/x3
x = 32y3
x = 4/y3
y = 4/x3
y = 4x3
x = 32/y3
y = 32x3

Explanation / Answer

For a straight line the equation should be y=mx + c

x2y = 150

so y=150/x2

her m=150 her c=0

so the values for   y vs. 1/x2 should be given,

Given   y vs. 1/x3 and slope =32

so we need y=mx and given m=32

so the required equation is y= 32/x3

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.