12.The scatterplot displays the relationship between height and field-goalpercentage for all the basketball players on the 2013 roster of theBrooklyn Nets. 92Field-goal percentage7060504030●75.0 77.5 80.0 82.5Height (in.)85.0(a) Describe the association shown in the scatterplot.(b) Use the following summary statistics to calculate the equation ofthe least-squares regression line: mean height = 78.9 inches,standard deviation of height = 3.29 inches, mean field-goalpercentage = 45.3, standard deviation of field-goal percentage:7.1, and correlation = 0.59.

Given: X = 78.9 sx = 3.29 y = 45.3 sy = 7.1 r = 0.59 Formula Used: The equation of the least-square…

Answered: 12. The scatterplot displays 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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If two regression coefficients are 2.4 and 0.4 then what would be the value of coefficient of correlation. Round to two decimals
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of ten anesthetized bears that were measured, the linear correlation coefficient is r=0.906. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficientr and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The cnitical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) it:
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Compute the value of the correlation coefficient for the data obtained in the study of the number of absences and the final grade of the seven students in the statistics class. Student. Number of absences. Also, find the equation of the regression line for the given data? Student. Number of absences. Final grade% ---------------------------------------------------------------------------- A. 6 82 B 2 86 C. 15 43 D. 9 74 E. 12 58 F 5 90 G 8 78
o pis pe Suppose a doctor measures the height, x, and head circumference, y. of 11 children and obtains the data below. The correlation coefficient is 0.899 and the least squares regression line is y = 0.185x+ 12.276. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.4 17.1 17.2 16.9 17.4 17.1 17.1 17.3 17.3 17.3 17.4 27.75 25.75 26.75 25.75 28 26.5 25.75 26.75 27 27.25 27.25 (a) Compute the coefficient of determination, R?. R2 = % (Round to one decimal place as needed) (b) Interpret the coefficient of determination k Approximately % of the variation in (Round to one decimal place as needed.) is explained by the least-squares regression model. Enter your answer in each of the answer boxes. Save for Later DUE RTTT:DY PIVT Score: o:5SYO Tor Tv attempts 3:35 PA- a 2/22/202 Type here to search insert prt sc 4+ backsp %23 6. 8.
Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.866 and the least squares regression line is y = 0.143x + 13.465. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.0 17.2 17.1 27.25 25 26.5 25 27.75 26.5 26 26.75 26.75 27 27 17.4 17.3 17.1 17.4 17.4 17.4 17.3 (a) Compute the coefficient of determination, R?. R2 = % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately % of the variation in is explained by the least-squares regression model. (Round to one decimal place as needed.)
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of twelve anesthetized bears that were measured, the linear correlation coefficient is r= 0.276. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The critical values are Table of Critical Values of r IT Number of Pairs of Data n Critical Value of r 4 0.950 0.878 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576
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Which data has. A stronger linear correlation? Data 1 with an r= 0.7 or data 2 with an r= -0.8? Why?
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