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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炉=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

For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

If ytends to increase linearly as xincreases, the variables are------ linearly correlated.

For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.

Tax Efficiency. In Exercise 4.58, you determined a regression equation that relates the variables percentage of investments in energy securities and tax efficiency for mutual fund portfolios.

a. Should that regression equation be used to predict the tax efficiency of a mutual fund portfolio with 6.4%of its investments in energy securities? with 15%of its investments in energy securities? Explain your answers.

b. For which percentages of investments in energy securities is use of the regression equation to predict tax efficiency reasonable?

The linear correlation coefficient of a set of data points is (),鈥�16.

a. Is the slope of the regression line positive or negative? Explain your answers.

b. Determine the coefficient of determination.
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