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Chapter 4: Q.4.51 (page 174)

a. Find the regression equation for the data points, use the defining formulas in definition 4.4 to obtain sxxandsxy

b. Graph the regression equation and the data points

Short Answer

Expert verified

(a)y^=-3+2x

(b)

Step by step solution

01

Part(a) Step 1:Given Information  

The given data is:

we have to determine the regression equation.

02

Part (a) Step 2: Explanation   

The regression equation is obtained by using the terms b0andb1the regression equation for a set of ndata points is

y^=b0+b1x

where,

b1=sxysxx

b0=y-b1x

The table can be obtained as:

x=2.5

y¯=2

sxx=5

sxy=10

therfore,

b1=2

b0=-3

therefore,the regression equation will be

y^=-3+2x

03

Part (b) Step 1 :Given Information   

The given data is:

we have to determine the graph of regression equation and dataponts.

04

Part (b) Step 2: Explanation 

The regression equation and data points can be drawn on graph as:

Thus,the regression equation will be:y^=-3.00+2.00x

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Most popular questions from this chapter

Home Size and Value. The data from Exercise 4.74 for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 4.157 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 r in terms of the linear relationship between the mo variables in question.

11. Using a regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is called ________

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

For each exercise, determine the linear correlation coefficient by using

a. Definition 1.8 on page 183.

b. Formada 4.4 a pace 185.

Compare your answers in parts a) and (b).

In Exercise 4.7, 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=-7x+6
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