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Chapter 4: Q. 4.9 (page 161)

In Exercise 4.9, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=0.5x-2

Short Answer

Expert verified

a. y-intercept is -2and slope is 0.5

b. Slope is upward.

c. The graph is given below

Step by step solution

01

Part(a) Step 1: Given information

We need to find y-intercept and slope of given linear equation

02

Part(a) Step 2: Calculations

General form of linear equation is y=mx+cwhere mis slope and cis intercept.

Comparing y=0.5x-2 with general form we get,

slope m=0.5

y-interceptc=-2

03

Part(b) Step 1: Given information

We have to determine the direction of slope of given linear equation.

04

Part(b) Step 2: Answer and its explanation

As we see the slope is having positive sign so the slope will point in upward direction.

05

Part(c) Step 1: Given information

We have to graph the equation.

06

Part(c) Step 2: Explanation

Graph for above linear equation is

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Most popular questions from this chapter

In Exercise 4.5, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=4x+3

For each of the sums of squares in regression, state its name and what it measures,

a. SST

b. SSR

c. SSE

For each exercise, determine the linear correlation coefficient by using

a. Define 4on page 183,

b. Formula 4.3an page 185.

Compare your answer an para (a) and (b

4.76 PCBs and Pelicans, Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, Vl, University of California Press, Pp. 443-463). In that study, 60Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the Weiss Stats site.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables forx,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.
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