Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below. 55.566.577.588.59606570758085Wrist Circumference (in)Height (in) Coefficients: Estimate Std Err t-value p-value (Intercept) 29.5174 5.7253 5.1556 2.0E-5 wrist 5.8993 0.8181 7.2108 5.02E-8 Residual standard error: 4.2538 on 30 degrees of freedom R-squared: 0.6341, Adjusted R-squared: 0.6219 F-statistic: 51.9954 on 1 and 30 DF, p-value: 5.02E-8 a) Write the equation of the best-fit line. Use x and y for your variables. b) Calculate the correlation coefficient. c) Identify the coefficient of determination. d) Use the equation of the best-fit line to predict the height of a person with a wrist circumference of 6 inches. inches e) One of the points on the scatterplot is (8.3,85.4). Calculate the residual for this point. inches f) The mean wrist circumference for this data is 6.938 inches. Calculate the mean height for this data. inches g) When predicting heights, what is a "typical" error using this linear model? inches h) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? Enter your response as a decimal. i) Calculate the correlation coefficient if the heights are measured in feet. (All heights divided by 12.) Submit QuestionQuestion 1

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below.

55.566.577.588.59606570758085Wrist Circumference (in)Height (in)

Coefficients:

	Estimate	Std Err	t-value	p-value
(Intercept)	29.5174	5.7253	5.1556	2.0E-5
wrist	5.8993	0.8181	7.2108	5.02E-8

     Residual standard error: 4.2538 on 30 degrees of freedom
     R-squared: 0.6341, Adjusted R-squared: 0.6219
     F-statistic: 51.9954 on 1 and 30 DF, p-value: 5.02E-8

a) Write the equation of the best-fit line. Use x and y for your variables.
b) Calculate the correlation coefficient.
c) Identify the coefficient of determination.
d) Use the equation of the best-fit line to predict the height of a person with a wrist circumference of 6 inches.  inches
e) One of the points on the scatterplot is (8.3,85.4). Calculate the residual for this point.  inches
f) The mean wrist circumference for this data is 6.938 inches. Calculate the mean height for this data.  inches
g) When predicting heights, what is a "typical" error using this linear model?  inches
h) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? Enter your response as a decimal.
i) Calculate the correlation coefficient if the heights are measured in feet. (All heights divided by 12.)

Submit QuestionQuestion 1

Expert Solution