11) a) Create a scatterplot for the following data comparing the number of employees working atLeon's Pet Rock Shoppe and the total time it takes to do inventory:Inventory timeEmployees (in hours)25104Time2733Employeesb) Is this an example of a strong positive correlation, a strong negative correlation, or a veryweak correlation?

Given Data : Employees Inventory time 2 10 5 4 6 3 8 2 7 3 3 8 The scatter plot…

Answered: 11) a) Create a scatterplot for the…

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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What is the value of the correlation coefficient r across the entire data set (all 10 students)?
1. A medical student is studying heart rate. The student wants to know if there relationship between age and heart rate. She collects the following data from children selected at random. Heart rate Age (yrs) 92 89 90 84 79 102 108 12 86 14 a) Make a scatter plot of the data. b) Describe the relationship(positive, negative and none) you see between heart rate and age and determine the type of correlation (linear or non-linear) that exists. Relationship Туре» c) Draw a line of best fit. d) What do you think is the heart rate of a newborn baby? Justify your answer. e) What do you think is the heart rate of someone who is 20 years old? What type of prediction is this?
The following show the respective ages in years and the corresponding weighs in lbs of 8 women. What is the coefficient of Correlation? Age (x) Weight (y) 42 120 38 135 45 140 27 115 16 98 25 123 37 130 38 132 Select one: a. 0.847 b. 0.478 c. .748 d. .447
14. The following table gives the miles per gallon and the load capacity for 6 SUV's. Miles per Gallons Load Сарacity 19 860 17 970 16 1035 16 1165 14 1180 13 1360 a. Develop a scatter diagram for the data. b. How would you characterize the relationship between miles per gallon and load capacity?
20. Represent the following data by means of histogram. Weekly wages No. of workers Weekly wage No. of workers 7 30 40 40 -60 60 80 10-15 19 12 15-20 12 27 20-25 8 15 25-30
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
The ages of the runners in a race and their finishing positions are given in the following table. Assuming x is the finish position and y is the person's age, is there a significant correlation between age and finishing position? Answer Choices Not significant Not one of these Significant at both 5% and 1% Significant at 5% but not 1% Significant at 1%
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?
A student of Engineering conducted a research to determine the correlation between performance of 2 lathes in the workshop. Assessments were conducted on weekly basis, and the following data were obtained. Calculate the coefficient of correlation using Karl Pearson's method, and discuss the level of the relationship. Table 2. The performance of the lathes on weekly basis. Week(s) 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Lathe A 42 48 40 28 46 90 28 56 16 22 Lathe B 56 78 72 24 60 42 36 82 28 34 良
Dr. Wabld Hamdy given by the following table: y X-4 -2 2 4 --2 0 0.25 0 0 -100 0.25 1 0.25 00 0 2 0.25 0 Find the correlation coefficient between X and Y llu mad and imported automobiles sold
8.
Suppose the following data show the rankings of 11 states based on expenditure per student (ranked 1 highest to 11 lowest) and student-teacher ratio (ranked 1 lowest to 11 highest). State Expenditureper Student Student-TeacherRatio A 9 10 B 5 7 C 4 6 D 2 11 E 6 4 F 11 3 G 1 1 H 7 2 I 8 8 J 10 5 K 3 9 What is the rank correlation between expenditure per student and student-teacher ratio? (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = rs =

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