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c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months).

c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months).

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
Section4.5: Correlation And Causation
Problem 24PFA
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Need answers for C) and D)
2. Ayako's parents are concerned that she is rather short for her age. The doctor's records of her growth give us the following data: Age (months) 36 48 51 54 57 60 Height (cm) 86 90 91 93 94 95 a) Make a scatterplot of this data. Draw a rough sketch below and describe any pattern/correlation that you see. Scatter Diagram 96 95 94 93 92 91 90 89 88 87 86 85 30 35 40 45 50 55 60 65 Age (Months) (X) b) Use you calculator to find the regression equation that is appropriate for this data: What is the strength of this correlation? Explain. The equation of regression line is, < >
Transcribed Image Text:2. Ayako's parents are concerned that she is rather short for her age. The doctor's records of her growth give us the following data: Age (months) 36 48 51 54 57 60 Height (cm) 86 90 91 93 94 95 a) Make a scatterplot of this data. Draw a rough sketch below and describe any pattern/correlation that you see. Scatter Diagram 96 95 94 93 92 91 90 89 88 87 86 85 30 35 40 45 50 55 60 65 Age (Months) (X) b) Use you calculator to find the regression equation that is appropriate for this data: What is the strength of this correlation? Explain. The equation of regression line is, < >
The equation of regression line is, Ý = a +b* X = 71. 95 + 0. 3833 * X r=0.9944, this shows nearly perfect correlation between age (months) (X) and height (cm ) (Y) c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months). What is your estimate: Does this number seem realistic? Explain why your estimate at 40 was or was not realistic. e) Generalize what the regression equation says about this data in context; i.e., what it says about Ayako's growth.
Transcribed Image Text:The equation of regression line is, Ý = a +b* X = 71. 95 + 0. 3833 * X r=0.9944, this shows nearly perfect correlation between age (months) (X) and height (cm ) (Y) c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months). What is your estimate: Does this number seem realistic? Explain why your estimate at 40 was or was not realistic. e) Generalize what the regression equation says about this data in context; i.e., what it says about Ayako's growth.
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