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.(a) Draw a scatter diagram of the data. Choose the correct graph below.O A.OB.C.OD.20-Ay20-Ay20-Ay20-0-0-0-0-10101010(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,than the critical value for this data set,linear relation exists between x and y.(Round to three decimal places as nenegativepositiveis 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 coefficient(a) Draw a scatter diagram of the data. Choose the correct graph below.O A.В.OC.Critical Values for Correlation CoefficientAy20-Ay20-Ay20-30.99740.95050.8780.811X0-0-0-70.754101080.7070.666(b) By hand, compu10 0.63211 0.60212 0.57613 0.55314 0.532Data setThe correlation coef(c) Determine wheth15 0.514Because the correlaX46.6.isthan the critical value for th16 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.404(Round to three decy48.121318greaterPrintDonenot greater25 0.39626 0.38827 0.38128 0.37429 0.36730 0.361

( a ) Scatter plot : Answer : Option ( A)✔️ ( b ) Answer : Correlation ( r ) = 0.955

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. Calculate the sample covariance.X Y-3 -913 95 12b. Calculate the sample correlation.c. Describe in words the information given to us by the sample covariance and by the sample correlation.Explain how the correlation gives us more precise information.d. Explain why the covariance is not a good measure of the strength of the linear relationship between the twovariables.e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.
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Write a report using Word. Cover the following topics. This file contains some information about different cars. Car Weight (pounds), x Miles per Gallon, y A 2750 31.5 B 3120 27.9 C 3385 23.7 D 3740 23.3 E 4225 21 Create a scatterplot for the data in the Weight and Braking columns. Paste it here. a) Using StatCrunch or TI 83/84 to calculate the linear correlation between the data in the Weight and MPG columns. b) Explain the mathematical relationship between Weight and MPG based on the linear correlation coefficient. Be certain to include comments about the magnitude and the direction of the correlation. c) Write the equation for the least-squares regression line if there is one. d) Predict the miles per gallon of car C and compute the residual.
Below shows the linear relationship between first year college GPA and high school GPA For both variables the GPA ranges from 0 to 4 in this sample. However, for the high schools sampled in this region, the true range of GPA is 0 to 5, how might this affect the correlation between these two variables?

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