2. Suppose a breeder of thoroughbred horses wishes to determine whether a linear relationship exists between gestation period and the length of life of a horse. The breede collected the following data from various tables across region: 34 5 6 Horse 1 2 7 8 10 Gestation 403 400 Period (in 416 280 290 309 365 356 300 265 days)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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2. Suppose a breeder of thoroughbred horses wishes to
determine whether a linear relationship exists between
gestation period and the length of life of a horse. The breeder
collected the following data from various tables across regions
Horse
1
2
3
4
7
8
10
Gestation
403
400
Period (in
416
280
290
309 365 356
300
265
days)
Length of
24
25.75
20
22
20 21.5 23.5 21.75
21
21
Life (years)
Transcribed Image Text:2. Suppose a breeder of thoroughbred horses wishes to determine whether a linear relationship exists between gestation period and the length of life of a horse. The breeder collected the following data from various tables across regions Horse 1 2 3 4 7 8 10 Gestation 403 400 Period (in 416 280 290 309 365 356 300 265 days) Length of 24 25.75 20 22 20 21.5 23.5 21.75 21 21 Life (years)
a. Plot a scatter diagram of the data on the gestation
period and the length of life of a horse. Does there
appear to be a linear relationship between the
variables?
b. Compute for the Pearson correlation coefficient between
the gestation period and the length of life of a horse.
What conclusion can you draw based on the value of the
correlation coefficient? Does this support your
observation in (a)?
c. Test whether p is different from 0 using 0.05 level of
significance.
Transcribed Image Text:a. Plot a scatter diagram of the data on the gestation period and the length of life of a horse. Does there appear to be a linear relationship between the variables? b. Compute for the Pearson correlation coefficient between the gestation period and the length of life of a horse. What conclusion can you draw based on the value of the correlation coefficient? Does this support your observation in (a)? c. Test whether p is different from 0 using 0.05 level of significance.
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