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Chapter 4: Q. 2 (page 192)

Consider the linear equationy=4-3x.
a. At what y-value does its graph intersect the y-axis?

b. At what x-value does its graph intersect the y-axis?

c. What is its slope?

d. By how much does the y-value on the line change when the x-value increases by 1unit?

e. By how much does the y-value on the line change when the x-value decreases by 2units?

Short Answer

Expert verified

The answers for the subparts have been given below.

Step by step solution

01

Step 1. Given Information

The linear equationy=4-3x.

02

Step 2. The answer for (a)

The graph of the linear equation y=4-3xis as such:

In the above graph, we can see thaty=4the line intersects at they-axis.

03

Step 3. The answer for (b)

At x=0the line intersects the y-axis.

04

Step 4. The answer for (c)

The regression equation is y=b0+b1x
Here,
b0=y-intercept
b1=slope
x=independent variable
y=dependent variable
The given regression equation is y=4-3x
The slope,role="math" localid="1652452882441" width="59" height="25">b1=-3

05

Step 5. The answer for (d)

The y-value increases by-3units for every increase inxof1unit.

06

Step 6. The answer for (e)

The y-value increases by 6units for every increase in xof 2unit.

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Most popular questions from this chapter

In the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (Amer. icon Industrial Hyeiene Asseciution Journal, Vol. 63, Pp. 756-761), 1. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television screen method to determine the relationship between the counts done by each method. The results, in fibers per square millimeter, are presented on the Weiss Stats site.

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