(a) Draw a scatter diagram of the data. Choose the correct graph below.A.В.C.D.Ay20-QAy20-Ay20-20-0-0-10101010(b) By hand, compute the correlation coefficient.The correlation coefficient is r=(Round to three decimal places as needed.)(c) Determine whether there is a linear relation between x and y.Because the correlation coefficient isand the absolute value of the correlation coefficient,isthan the critical value for this data set,linear relation exists between x and y.(Round to three decimal places as na negativepositivenot greaternonegativegreatera positive For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.Click here to view the data set.Click here to view the critical values table.Critical values for the correlation coefficientData setCritical Values for Correlation Coefficientn30.997246740.9500.878y481114196.0.8110.7548.0.7079.0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.396PrintDone26 0.38827 0.38128 0.37429 0.36730 0.361nCo

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Answered: and, compute the correlation…

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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Given the following set of five ordered pairs, the correlation r equals ______. a.0.3 b.0.6 c.0.9
A scatterplot is made of the average height (x axis) and average blood temperature (y axis) of 200 different mammals. The correlation is medially positive, approximately around r = 0.6. Human is at the 2 SD below the average on height and approximately 1.2 SD below the average on blood temperature. This implies this point is... Group of answer choices No answer text provided. on the SD line it is impossible to say with the information given on the regression line
The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement
Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and teachers in the U.S. for 11 years. Apply what you have learned in the previous tab to complete this graded lab questions. 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the corelation coefficient is R and not R Teachers y Principalsx 77.8 43.7 78.4 43.8 80.8 45.0 R= 80.5 45.6, 2. Does the R value represent a positive, negative or no correlation between the salaries ol the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 10 11 81.5 45.9 84.8 48.2 12 13 87.7 49,3 3. Write the equation of the regression line for the data below. The equation is y= 14 91.6 51.3 52.9 Teachers y 15 16 95.7 54.4 COD 54.2 =D0.5873x-2.0s07o R=0.995, 17 95.7 4. Use the regression equation that you found in exercise #3 to predict the average annual salary…
What kind of relationship is depicted in the following graph? 7 2 1 0 2 3 a. A positive linear correlation b. A nonlinear correlation c. No correlation Od. A negative linear correlation 6 9 10
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. (b) Would you say the correlation is low, moderate, or strong? positive or negative? a) moderate and positiveb) low and negative c) strong and positived) strong and negativee) low and positivef) moderate and negative As x increases, does the value of r imply that y should tend to increase or decrease? Explain. a) Given our value of r, y should tend to decrease as x increases.b) Given our value of r, y should tend to remain constant as x increases. c) Given our value of r, y should tend to increase as x increases.d) Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.
the number of rubber bands used and the distance, incentimeters, of her jump. When they created a scatterplotthe relationship appeared to be linear, and the correlationwas r = 0.996. After discussing these results, the teacherinstructed the students to convert the distances to inches.What effect will this have on the correlation between thetwo variables?a) Because 1 cm = 0.393701 inches, the correlationwill become .392126.b) Because 1 cm = 0.393701 inches, the correlationwill become 2.5298.c) Because only the length measurements have changed,the correlation will decrease substantially.d) Because changing from centimeters to inches doesnot affect the value of the correlation, the correlationwill remain 0.996. e) Because inches is a much more common measure-ment for distance in the United States, the relation-ship between the data will be stronger and thus the correlation will increase.
:::.
We have a data set, including X and Y: X: 2.4, -3.1, 8, 13,11.24555 Y:3, 5, 6, 0, 355 Considering the data set provided above, please answer the following True or False question: A combination of Histogram and Boxplot can assist to find correlation doefficient r for X and Y. OTrue O False
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