EBK STATISTICS FOR MANAGEMENT AND ECONO
EBK STATISTICS FOR MANAGEMENT AND ECONO
10th Edition
ISBN: 9780100546462
Author: KELLER
Publisher: YUZU
Question
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Chapter 16.2, Problem 4E

(a)

To determine

Draw the scatter diagram that shows the relationship between television and overweight.

(a)

Expert Solution
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Explanation of Solution

Figure 1 shows the scatter diagram of television and overweight.

EBK STATISTICS FOR MANAGEMENT AND ECONO, Chapter 16.2, Problem 4E

In the above figure, the vertical axis measures overweight and the horizontal axis measures television. The position of the scatters shows a positive relationship between overweight and television.

Economics Concept Introduction

Scatter diagram: The scatter diagram shows the value of two variables plotted along two axes. Each scatter represents the relationship between the variables.

(b)

To determine

Calculate the least squares line and interpret the slope of the line.

(b)

Expert Solution
Check Mark

Explanation of Solution

The least squares regression line is shown below:

y=b0+b1x

Where b0 is the y-intercept and b1 is the slope of the regression line.

The least squares regression line is calculated as follows:

Table 1

XiYiXi2Yi2XiYI
142181,764324756
23461,15636204
325062500
435–11,2251–35
537131,369169481
638141,444196532
731796149217
83371,08949231
919–936181–171
1029884164232
113881,44464304
1228578425140
13293841987
1436141,296196504
1518–732449–126
Total4728615,5241,3123,356

These table values are obtained using a spreadsheet.

i=1nxi=472,i=1nyi=86i=1nxi2=15,524,i=1nyi2=1,312i=1nxiyi=3,356sxy=1n1[i=1nxiyii=1nxii=1nyin]=1151[3,356(472)(8615]=46.42sx2=1n1[i=1nxi2(i=1nxi)2n]=1151[15,524(472)215]=47.98b1=sxysx2 =46.4247.98=0.9675x¯=xin=47215=31.47       y¯=yin=8615=5.73b0=y¯b1x¯=5.73(0.9675)(3147)=24.72 y^= 24.72+0.9675x

The least square line shows that weight increases on average by 0.9675 pounds for each additional hours of television.

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Chapter 16 Solutions

EBK STATISTICS FOR MANAGEMENT AND ECONO

Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - Prob. 18ECh. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - Prob. 21ECh. 16.4 - Prob. 22ECh. 16.4 - Prob. 23ECh. 16.4 - Prob. 24ECh. 16.4 - Prob. 25ECh. 16.4 - Prob. 26ECh. 16.4 - Prob. 27ECh. 16.4 - Prob. 28ECh. 16.4 - Prob. 29ECh. 16.4 - Prob. 30ECh. 16.4 - Prob. 31ECh. 16.4 - Prob. 32ECh. 16.4 - Prob. 33ECh. 16.4 - Prob. 34ECh. 16.4 - Prob. 35ECh. 16.4 - Prob. 36ECh. 16.4 - Prob. 37ECh. 16.4 - Prob. 38ECh. 16.4 - Prob. 39ECh. 16.4 - Prob. 40ECh. 16.4 - Prob. 41ECh. 16.4 - Prob. 42ECh. 16.4 - Prob. 43ECh. 16.4 - Prob. 44ECh. 16.4 - Prob. 45ECh. 16.4 - Prob. 46ECh. 16.4 - Prob. 47ECh. 16.4 - Prob. 48ECh. 16.4 - Prob. 49ECh. 16.4 - Prob. 50ECh. 16.4 - Prob. 51ECh. 16.4 - Prob. 52ECh. 16.4 - Prob. 53ECh. 16.4 - Prob. 54ECh. 16.4 - Prob. 55ECh. 16.4 - Prob. 56ECh. 16.4 - Prob. 57ECh. 16.4 - Prob. 58ECh. 16.4 - Prob. 59ECh. 16.4 - Prob. 60ECh. 16.4 - Prob. 61ECh. 16.4 - Prob. 62ECh. 16.4 - Prob. 63ECh. 16.4 - Prob. 64ECh. 16.4 - Prob. 65ECh. 16.5 - Prob. 66ECh. 16.5 - Prob. 67ECh. 16.5 - Prob. 68ECh. 16.5 - Prob. 69ECh. 16.5 - Prob. 70ECh. 16.5 - Prob. 71ECh. 16.5 - Prob. 72ECh. 16.5 - Prob. 73ECh. 16.5 - Prob. 74ECh. 16.5 - Prob. 75ECh. 16.5 - Prob. 76ECh. 16.5 - Prob. 77ECh. 16.5 - Prob. 78ECh. 16.5 - Prob. 79ECh. 16.5 - Prob. 80ECh. 16.5 - Prob. 81ECh. 16.5 - Prob. 82ECh. 16.5 - Prob. 83ECh. 16.5 - Prob. 84ECh. 16.5 - Prob. 85ECh. 16.5 - Prob. 86ECh. 16.5 - Prob. 87ECh. 16.5 - Prob. 88ECh. 16.5 - Prob. 89ECh. 16.5 - Prob. 90ECh. 16.5 - Prob. 91ECh. 16.5 - Prob. 92ECh. 16.5 - Prob. 93ECh. 16.5 - Prob. 94ECh. 16.5 - Prob. 95ECh. 16.5 - Prob. 96ECh. 16.5 - Prob. 97ECh. 16.5 - Prob. 98ECh. 16.5 - Prob. 99ECh. 16.5 - Prob. 100ECh. 16.6 - Prob. 101ECh. 16.6 - Prob. 102ECh. 16.6 - Prob. 103ECh. 16.6 - Prob. 104ECh. 16.6 - Prob. 105ECh. 16.6 - Prob. 106ECh. 16.6 - Prob. 107ECh. 16.6 - Prob. 108ECh. 16.6 - Prob. 109ECh. 16.6 - Prob. 110ECh. 16.6 - Prob. 111ECh. 16.6 - Prob. 112ECh. 16.6 - Prob. 113ECh. 16.6 - Prob. 114ECh. 16.6 - Prob. 115ECh. 16.6 - Prob. 116ECh. 16.6 - Prob. 117ECh. 16.6 - Prob. 118ECh. 16.A - Prob. 1ECh. 16.A - Prob. 2ECh. 16.A - Prob. 3ECh. 16.A - Prob. 4ECh. 16.A - Prob. 5ECh. 16.A - Prob. 6ECh. 16.A - Prob. 7ECh. 16.A - Prob. 8ECh. 16.A - Prob. 9ECh. 16.A - Prob. 10ECh. 16.A - Prob. 11ECh. 16.A - Prob. 12ECh. 16.A - Prob. 13ECh. 16.A - Prob. 14ECh. 16.A - Prob. 15ECh. 16.A - Prob. 16ECh. 16 - Prob. 119CECh. 16 - Prob. 120CECh. 16 - Prob. 121CECh. 16 - Prob. 122CECh. 16 - Prob. 123CECh. 16 - Prob. 124CECh. 16 - Prob. 125CECh. 16 - Prob. 126CECh. 16 - Prob. 127CECh. 16 - Prob. 128CECh. 16 - Prob. 129CE
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