Question Help ▼ For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the corelation coefficient, and (c) determine whether there is a linear relation between x and y. Data set OD. 7 1 7 Ay 10- Ay 10- y 6 9. Print Done 0- 10 (b) Compute the correlation coefficient. The correlation coefficient is r= (Round to three decimal places as needed.)

Question Help ▼ For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the corelation coefficient, and (c) determine whether there is a linear relation between x and y. Data set OD. 7 1 7 Ay 10- Ay 10- y 6 9. Print Done 0- 10 (b) Compute the correlation coefficient. The correlation coefficient is r= (Round to three decimal places as needed.)

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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Are MRI count and IQ linearly related? Because the correlation coefficient for females is negative/positiveand the absolute value of this correlation coefficient, enter your response here#, is greater/not greater than enter your response here#, the critical value for the female data set,no/a positive/a negativerelation exists between MRI count and IQ for females. Because the correlation coefficient for males is negative/positive and the absolute value of this correlation coefficient, enter your response here#, is greater/not greater than the critical value for the male data set, enter your response here#,no/a positive/a negative relation exists between MRI count and IQ for males. (Round to three decimal places as needed.) Critical value table 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374…
A fuel company wants to find the functional relation between the amount of gas it sells for heating and the daily temperature. Given the values for 10 observations ∑x= - 50, ∑x^2 = 626, ∑y^2 = 6432 ∑y= 222, ∑xy= —1743 for the daily average temperature and gas sales (in thousand liters). a) Obtain and interpret the correlation coefficient for the variables.b) Set up the regression equation and interpret the coefficients.c) Find R2 and interpret.d) When the temperature is 10 degrees, please observe the gas sales amount.
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361
(b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) r r2 x1, x2 x1, x3 x2, x3
A sample of 30 ordered pairs produces a linear correlation coefficient of r-0.026 Which of the following statements would be true? No regression line could be calculated from these ordered pairs Although no linear correlation exists, there might be a strong non-linear correlation A negative linear correlation exists A positive linear correlation exists The regression line would not pass through the point (x, y)
Which of the following is true about the correlation coefficient? A) It ranges from 0 to 1. B) It indicates the strength and direction of a linear relationship between two variables. C) It can be greater than 1. D) It is used to measure the central tendency of data.
A Of two personnel evaluation techniques available, the first requires a 2-hour test-interview while the second can be completed in less than an hour. The scores for each of the eight individuals who took both tests are given in the table below. Applicant Test 1 (x) Test 2 (y) 1 75 38 2 90 56 60 35 71 46 92 58 3 4 5 7 8 106 55 87 69 30 52 (a) Find the correlation coefficient r to describe the relationship between the two tests. (Round your answer to three decimal places.) r= (b) Would you be willing to use the second and quicker test rather than the longer test-interview to evaluate personnel? Explain. O The correlation coefficient is close to -1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could not be…
Q2) The following data represents the results of an experimental test, if the relation between variables take the form y=ae^(bvx) y = aeb√x X 4 7 12 15 24 y 13 10 9 7 4 * the correlation coefficient of the above (2 relation 0.9927 0.9727 0.9772 0.9977 none of all above
In a simple linear regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then a) there is a positive correlation between x and y. b) if y is increased, x must also increase. c) if x is increased, y must also increase. d) the estimated regression line intercepts the positive y-axis.
A computer while calculating the correlation coefficient between the variables X and Y obtained the following results: N= 30, ΣΧ-120, ΣΧ600, ΣΥ-90, ΣΥ250, ΣΧΥ-356. It was, however later discovered at the time of checking that it had copied down two pairs of observations: X Y wrongly as while the correct values are X Y 8 10 8 12 10 8 12 7. Find the correct value of correlation coefficient between X and Y.
Consider a two-dimensional scatterplot representing the relationship between two continuous variables. If the correlation coefficient is -1, then: a. All points lie in a straight line with a slope of -1. b. All points lie in a straight line with an unknown negative slope. c. All points do not lie in a straight line but the best fitting regression line has a slope of -1 d. There is a strong positive relationship between the two variables.
Listed below are systolic blood pressure measurements ( in mm Hg ) from the same woman. Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 a) Find the linear coefficient correlation r. What is the critical value in this case ?? ? b) Is there sufficient evidence to conclude that there is a linear correlation between right and left arm systolic blood pressure measurements? c) Find the equation of the regression line between right and left arm systolic. d) What proportion of left arm systolic can be explained by the right arm systolic ? e) Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg.