Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Height of father, (in centimeters) 157.4 178.6 200.6 174.2 187.2 176.2 184.0 172.5 190.5 160.8 171.6 183.5 191.5 190.7 162.1 Height of son, y (in centimeters) 174.8 189.5 191.3 179.0 175.4 174.5 177.6 170.5 187.4 171.7 181.6 188.8 191.2 194.3 167.6 Send data to calculator Send data to Excel What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. X 210+ 200- X 1904 180 1704 160 150 The value of the sample correlation coefficient for these data is approximately 0.761. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. 41 30 160 Figure 1 170 180 190 200 210 0
Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Height of father, (in centimeters) 157.4 178.6 200.6 174.2 187.2 176.2 184.0 172.5 190.5 160.8 171.6 183.5 191.5 190.7 162.1 Height of son, y (in centimeters) 174.8 189.5 191.3 179.0 175.4 174.5 177.6 170.5 187.4 171.7 181.6 188.8 191.2 194.3 167.6 Send data to calculator Send data to Excel What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. X 210+ 200- X 1904 180 1704 160 150 The value of the sample correlation coefficient for these data is approximately 0.761. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. 41 30 160 Figure 1 170 180 190 200 210 0
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Transcribed Image Text:Sir Francis Galton, in the late 1800s, was the first to introduce the statistical
concepts of regression and correlation. He studied the relationships
between pairs of variables such as the size of parents and the size of their
offspring.
Data similar to that which he studied are given below, with the variable x
denoting the height (in centimeters) of a human father and the variable y
denoting the height at maturity (in centimeters) of the father's oldest son.
The data are given in tabular form and also displayed in the Figure 1
scatter plot.
Height of father,
X
(in centimeters)
157.4
178.6
200.6
174.2
187.2
176.2
184.0
172.5
190.5
160.8
171.6
183.5
191.5
190.7
162.1
Height of son, y
(in centimeters)
174.8
189.5
191.3
179.0
175.4
174.5
177.6
170.5
187.4
171.7
181.6
188.8
191.2
194.3
167.6
Send data to calculator V
Send data to Excel
What is the value of the slope of the least-squares regression
line for these data? Round your answer to at least two decimal
places.
210-
What is the value of the y-intercept of the least-squares
regression line for these data? Round your answer to at least
two decimal places.
200-
X
190-
180
170-
160
150
Español
The value of the sample correlation coefficient for these data is
approximately 0.761.
Figure 1
Answer the following. Carry your intermediate computations to at least four
decimal places, and round your answers as specified below.
150 160 170 180 190 200 210
0
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