Critical Values for Correlation Coefficientn340.9970.9505 0.87860.81170.7548 0.70790.66610 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 0.39626 0.38827 0.38128 0.37429 0.36730 0.361nDala setXy2448611613719 1:02(a) Draw a scatter diagram of the data. Choose the correct graph below.KFor the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlationcoefficient, and (c) determine whether there is a linear relation between x and y.A.Ау20+0-10OB.Ау|||20+=0-PrintBecause the correlation coefficient isthan the critical value for this data set,(Round to three decimal places as needed.)Critical Values for Correlation Coefficient10(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.n3 0.9974 0.9505 0.8786 0.8117 0.7548 0.7079 0.66610 0.632Critical values for the correlation coefficient11 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 0.39626 0.38827 0.38128 0.37429 0.36730 0.361nC.Done20AyO0-VO) 14G 22%Qand the absolute value of the correlation coefficient, islinear relation exists between x and y.D.Ау20+0-

From given data we have : x 2 4 6 6 7 y 4 8 11 13 19

Answered: For the accompanying data set, (a) draw…

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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Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Answer parts a-c. Budget (x) Gross (y)60 6091 6050 4839 62193 558105 14087 52 a. Find the value of the linear correlation coefficient r.
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
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.
Calculate the Spearman correlation coefficient between two sets of data: set A = [6, 8, 10, 12, 14] and set B = [2, 4, 6, 8, 10].
Complete the table with data showing the results of the examinations out of 100 taken by 9 students in Statistics class depicting either a positive or negative correlation. Exam 1 (x) Exam 2 (y) 78 86 57 68 76 92 87 66 54 74 61 84 77 75 71 66 88 71 Using the following information above: A. Draw a scatter graph. B. Draw a line of best fit and comment on the correlation. c. Work out the gradient of the line of best fit. please with all explanation
Calculate co-efficient of correlation from the following data : 500 1000 1500 2000 X: Y: 2500 3000 3500 100 200 300 400 500 600 700

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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.