Use the given data set to complete parts (a) through (b) below. (Use α = 0.05.)88.15XyO A.Click here to view a table of critical values for the correlation coefficient.a. Construct a scatterplot. Choose the correct graph below.Ay109.1410-8-6-4-2-X138.740-0 4 8 12 16The linear correlation coefficient is r=O B.Ау10-8-6-42-0-0 498.778•laX12 16ON119.26148.09Ay10-8-6-4-2-0-●●0 4 866.1412 16G43.11b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.0.(Round to three decimal places as needed.)129.14D.Ау10-8-6-4-2-0-04ONNT7.26X8 12 1654.74 Table of Critical Valuese4567890101112 131415161718192025303540455060708090100a = .05.950.878.811.754.707.666.632.602.576553.532.514.497.482.468.456.444396.361.335.312.294.279.254.236.220.207.196α = .01.990.959.917.875.834.798.765.735.708.684.661.641.623.606.590.575.561.505.463.430.402.378.361.330.305.286.269256NOTE: To test Ho: p= 0 against H₁: p = 0,reject Ho if the absolute value of r isgreater than the critical value in the table.

The question is about correlation.Given :To find :a ) Construct scatter plotb ) Value of r and test…

Answered: Use the given data set to complete…

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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2. Consider the following examples; would you expect the correlation coefficient to be close to 1, -1, or 0 (10 points): The amount of time a dog is walked, and the number of hours the dog sleeps at night Outdoor temperature and snowfall. The length of time someone wears braces and their SAT scores. 3. The following graph represents the amount of time that someone studies for their final exam, and their final examination grade (HINT) (20 points). Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Hours Studied 4 7 11 8 10 8 Final Exam Grade 55% 72% 88% 93% 91% 84% Graph the following students as ordered pairs. Let the x-axis represent the hours studied, and the y-axis represent the students’ final exam grade. Circle the value that best represents the estimate of r: (circle one) -0.99, -0.62, -0.30, 0, 0.30, 0.75, 0.85, 0.99
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 authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. X 390 740 760 y 3.90 r 3.90 5.00 5.30 4.10 3.60 6.20 OH₂: P = 0 Ha: P 0 1,465 1,470 1,495 2,190 t = P-value = 6.98 7.45 4.85 7.70 4.55 6.70 8.80 OH₂: P = 0 H₂: P = 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. O Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. O Reject Ho. A…
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…
Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. y 4 27.22 5 23.83 6 23.94 7 22.85 8 20.96 9 17.07 10 14.68 11 16.49 12 14.6 Give your answer to three decimal places.
Q9
Use the data values in the table below to calculate the correlation between the variables x and y.Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. x y 5 15.3 6 20.06 7 21.42 8 24.18 9 28.64 10 31.5 11 31.86 Give your answer to three decimal places.
Bt.20.
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The correlation coefficient r is a measure of how well a regression line fits data. The value of r is always between −1 and 1. If the fit is exact, the value of r is 1 or −1. Values of r near zero indicate a poor fit. Most calculators can be set to display the correlation coefficient.†For the following data set, do the following. x 2 4 6 8 10 y 6 10 22 18 24 Get the regression line. y = Plot the data and the regression line on the same screen. Report the value of the correlation coefficient. (Round your answer to two decimal places.) r =
2. An aerobic exercise instructor submitted to the shipping company the data given in the following table, which shows the recommended maximum exercion heart rate for individuals of the given ages. See table below. If the Chief engineer is 62 years old, predict. naximum exercise heart rate. Age (x years) Maximum heart rate (y beats per minute) 20 40 60 170 153 136 A. What is the coefficient of correlation of the age and the maximum rate of the chief engineer? a. -100 b. 100 C. -0.99 d. 0.65
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