Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. x(lb) 19 24 23 23 20 15 25 21 17 24 26 22 18 19 y(lb) 125 120 115 123 130 120 145 130 130 130 130 140 110 115 In this setting we have Σx = 296, Σy = 1763, Σx2 = 6396, Σy2 = 223,229, and Σxy = 37,439. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y). Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)%(d) If a female baby weighs 16 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)lb
Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. x(lb) 19 24 23 23 20 15 25 21 17 24 26 22 18 19 y(lb) 125 120 115 123 130 120 145 130 130 130 130 140 110 115 In this setting we have Σx = 296, Σy = 1763, Σx2 = 6396, Σy2 = 223,229, and Σxy = 37,439. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y). Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)%(d) If a female baby weighs 16 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)lb
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Modern medical practice tells us not to encourage babies to become too fat. Is there a
| x(lb) | 19 | 24 | 23 | 23 | 20 | 15 | 25 | 21 | 17 | 24 | 26 | 22 | 18 | 19 |
| y(lb) | 125 | 120 | 115 | 123 | 130 | 120 | 145 | 130 | 130 | 130 | 130 | 140 | 110 | 115 |
In this setting we have Σx = 296, Σy = 1763, Σx2 = 6396, Σy2 = 223,229, and Σxy = 37,439.
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.)
(b) Draw ascatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y).
(c) Find the samplecorrelation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(d) If a female baby weighs 16 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb
| x | = | |
| y | = | |
| b | = | |
| ŷ | = | + x |
(b) Draw a
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Clear Graph
Delete Layer
Fill
WebAssign Graphing Tool
Graph LayersToggle Open/Closed
- After you add an object to the graph you can use Graph Layers to view and edit its properties.
(c) Find the sample
| r = | |
| r2 = |
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(d) If a female baby weighs 16 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb
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