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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

8. Regarding the variables in a regression analysis.

a. what is the independent variable called?

b. what is the dependent variable called?

High and Low Temperature. The data from Exercise 4.75 for average high and low temperatures in January for a random sample of 50cities are on the WeissStats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of rin terms of the linear relationship between the variables in question.

13. Identify a use of the coefficient of determination as a descriptive measure.

Determine the linear correlation coefficient by formula and definition.

Fill in the blanks.

a. In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.

b. In regression analysis, an_______ is a data point where removal causes the regression equation to change considerably:
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