(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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Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists. Round to three decimal places. A manager wishes to determine whether there is a relationship between the number of years her sales representatives have been with the company and their average monthly sales. The table shows the years of service for each of her sales representatives and their average monthly sales (in thousands of dollars). Years with company, x 6 7 14 11 12 19 7 5 15 Sales, y 26 28 73 57 60 56 43 50 115 Click the icon to view the critical values table. O A. r=0.632; a linear relation exists O B. r=0.717; no linear relation exists O C. r=0.632; no linear relation exists O D. r=0.717; a linear relation exists
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
For the following pairs of data points (10, 100), (8, 120), (5, 200), (4, 200), (10, 90); (7, 110) and (6, 150) the relationship between X and Y is Positive Zero None Negative
Which of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99
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 data indicate the number of wins and the number of goals scored for teams in the National Hockey League after the first month of the season. No. of wins, x B 5 6 9 10 0.885 Part: 0/3 9 Part 1 of 3 5 3 No. of goals, y 10 16 20 23 28 21 11 12 No. of wins, x 11 7 13 5 7 No. of goals, y 20 11 10 20 29 12 17 (a) Find the equation of regression line and draw the line on the scatter plot, but only if r is significant. Round the slope and y-intercept to four decimal places, if necessary. r (Choose one) significant at the 5% level. X
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.
1. for each of the variables paige has recorded describe what type of data she has for each 2.what type of plot has paige produced? Comment on the initial impressions you gather from this plot. 3.calculate the correlation coefficient between the height of the strawberry plant and the amount of water it gets per day. Interpret the result.
3. Caloulate r and ŕ for the data set. -5 -4 -3 -2 -10 1. 4. 9. Calculate r. (Round to four decimal places as needed.) Calculate r =(Round to four decimal places as needed.)
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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