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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. Height (in) 85 80 75 70 65 60 ● 5 5.5 6 6.5 7 7.5 8 8.5 9 Wrist Circumference (in) Q Excel Output: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations (Intercept) wrist 0.6492 0.4214 Et 0.4021 4.9094 32 Coefficients Standard Error 36.891 7.64 4.9732 Round answers to 4 decimal places. a) Write the equation of best-fit line. y = 36.891 +4.9732 x t-Stat P-value 4.8287 4.0E-5 1.0639 4.6743 6.0E-5 0° DOLL

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. Height (in) 85 80 75 70 65 60 ● 5 5.5 6 6.5 7 7.5 8 8.5 9 Wrist Circumference (in) Q Excel Output: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations (Intercept) wrist 0.6492 0.4214 Et 0.4021 4.9094 32 Coefficients Standard Error 36.891 7.64 4.9732 Round answers to 4 decimal places. a) Write the equation of best-fit line. y = 36.891 +4.9732 x t-Stat P-value 4.8287 4.0E-5 1.0639 4.6743 6.0E-5 0° DOLL

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 17HP
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octorio Practice... 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. Height (in) +85 80 75 70 65 60 5 5.5 6 6.5 7 7.5 8 8.5 9 Wrist Circumference (in) Q Excel Output: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations (Intercept) wrist Y = 0.6492 0.4214 Et 0.4021 Round answers to 4 decimal places. a) Write the equation of the best-fit line. 4.9094 32 Coefficients Standard Error 36.891 7.64 4.9732 2 36.891 +4.9732-x SA S t-Stat P-value 4.8287 4.0E-5 1.0639 4.6743 6.0E-5 OP F6 DOLL F7 F8 & F9 U 8 F10 F13
Transcribed Image Text:octorio Practice... 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. Height (in) +85 80 75 70 65 60 5 5.5 6 6.5 7 7.5 8 8.5 9 Wrist Circumference (in) Q Excel Output: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations (Intercept) wrist Y = 0.6492 0.4214 Et 0.4021 Round answers to 4 decimal places. a) Write the equation of the best-fit line. 4.9094 32 Coefficients Standard Error 36.891 7.64 4.9732 2 36.891 +4.9732-x SA S t-Stat P-value 4.8287 4.0E-5 1.0639 4.6743 6.0E-5 OP F6 DOLL F7 F8 & F9 U 8 F10 F13
S ces rces roctor search (Intercept) wrist Round answers to 4 decimal places. a) Write the equation of the best-fit line. y = 36.891 +4.9732 x 36.891 4.9732 b) Identify the correlation coefficient. 0.6492 Coefficient of determination: 0.4214 c) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? inches d) Use the equation of the best-fit line to predict the height of a person with a wrist circumference of 6 inches. inches Et e) One of the points on the scatterplot is (7.5,83.7). Calculate the residual for this point, hint: y - y. inches Standard error of estimate: 7.64 1.0639 f) The mean wrist circumference for this data is 7.134 inches. Predict the mean height for this data. 2 OF g) When predicting heights, what is a "typical" error using this linear model? A LA F5 R 0° t-Stat P-value 4.8287 4.0E-5 4.6743 6.0E-5 % 5 inches F6 DELL F7 F8 & F9 9 8 F10 9
Transcribed Image Text:S ces rces roctor search (Intercept) wrist Round answers to 4 decimal places. a) Write the equation of the best-fit line. y = 36.891 +4.9732 x 36.891 4.9732 b) Identify the correlation coefficient. 0.6492 Coefficient of determination: 0.4214 c) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? inches d) Use the equation of the best-fit line to predict the height of a person with a wrist circumference of 6 inches. inches Et e) One of the points on the scatterplot is (7.5,83.7). Calculate the residual for this point, hint: y - y. inches Standard error of estimate: 7.64 1.0639 f) The mean wrist circumference for this data is 7.134 inches. Predict the mean height for this data. 2 OF g) When predicting heights, what is a "typical" error using this linear model? A LA F5 R 0° t-Stat P-value 4.8287 4.0E-5 4.6743 6.0E-5 % 5 inches F6 DELL F7 F8 & F9 9 8 F10 9
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