A pediatrician wants to determine the relation that exists between a child's height (x) and headcircumference (y). She randomly selects 11 children from her practice and measures their height and headcircumference in inches. She finds that the correlation is 0.6 and the regression equation isy = 0.221x + 8.15What proportion of the variation in head circumference can be explained by the variation in the values ofheight?%Report answer as a percentage accurate to one decimal place.

Given that Correlation coefficient=0.6 Regression equation y=0.221x+8.15 We have to find the…

Answered: A pediatrician wants to determine the…

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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Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported asy=−94.15x+39.69y=-94.15x+39.69and the r=−0.12r=-0.12.What percentage of the variation in y can be explained by the variation in the values of x?r² = % (Report exact answer, and do not enter the % sign)
Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = 64.21x + 44.09 and the r = = 0.062. What proportion of the variation in y can be explained by the variation in the values of x? % Report answer as a percentage accurate to one decimal place.
How do you find the best predicated number of viewers for a television star with a salary of 10 million ?
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Data were obtained about women belonging to a gym. The women had an average height of 67 inches with an SD of 3 inches, and they had an average weight of 160 pounds, with an SD of 15 pounds. The correlation between height and weight was r=0.45. A scatterplot was made of the data with height on the horizontal axis and weight on the vertical axis; it was football shaped. 2. (a) Using the regression line, a woman who is 6 feet tall is predicted to weigh pounds. (b) The typical size of the errors for predictions made using the regression line is pounds. (c) What percent of all the women weigh more than 180 pounds? (d) What percent of women that are 6 feet tall weigh more than 180 pounds?
Interpret the regression coefficient of X3 in relation to the Y ( X3 unit is mile) Y = 58.286 + 13.7604 * X3
Analysis of the relationship between the fuel economy (combinedMPG) and displacement (in liters) for 1262 models of cars produces the regression model combinedMPH = 33.472 - 3.317Displacement. Explain what the slope means.
Heights and answers to the question, "How much would you like to weigh?" were recorded for n=126 women in a statistics class. A regression equation for y=desired weight (in pounds) and x=height (in inches) is Estimated mean desired weight= - 65.4 + 2.90 (Height) D = bo + bịx a. What is the value of the slope of this regression equation?
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Write your complete solutions and box your answers. Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection (y). Summary quantities were n = 20, Σy = 12.75, Σy =8.86, Σ.x; = 1478, Σx = 143,215.8, and Σ.xy = 1083.67. (a) What change in mean pavement deflection would be expected for a 1°F change in surface temperature? (b) Test for significance of regression using a = 0.05. Find the (c) P-value for this test. What conclusions can you draw? Estimate the standard errors of the slope and intercept.

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