Fundamentals of Biostatistics
Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 11, Problem 1P

Hematology

The data in Table 11.17 are given for 9 patients with aplastic anemia [11].

Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y).

TABLE 11.17 Hematologic data for patients with aplastic anemia

Chapter 11, Problem 1P, Hematology The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. Fit a

Expert Solution & Answer
Check Mark
To determine

Compute the regression line relating percentage of reticulocytes and number of lymphocytes.

Answer to Problem 1P

The regression line isy=1894.8+112.1x.

Explanation of Solution

Calculation:

The sum of squares and products can be calculated as follows:

xyx2y2xy
3.6170012.9628900006120
2.030784.0094740846156
0.318200.093312400546
0.327060.097322436811.8
0.220860.044351396417.2
3.022999.0052854016897
0.06760.004569760
1.020881.0043597442088
2.220134.8440521694428.6
x=12.6y=18,466x2=32.02y2=41,504,606xy=27,464.6

Lxx=x2x2n=32.0212.629=14.38

Lyy=y2y2n=41,504,60618,46629=3,616,478

Lxy=xyxyn=27,464.612.6×18,4669=1,612.2

The slope can be calculated as follows:

b=LxyLxx=1612.214.38=112.1

The intercept can be calculated as follows:

a=ybxn=18,466112.1×12.69=1894.8

The regression line is given as follows:

y=a+bx=1894.8+112.1x

Thus, the regression line isy=1894.8+112.1x.

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