
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%
A company has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents (Y). Analysis on the set finds that the regression equation is Y=60-0.5*X.
- What can be said of the correspondence (relation) between age and accidents?
- Are younger workers safer or more prone to accident? What is the likely number of accidents for someone aged 25?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Which of the following situations would have data sets or plots that could have a regression line with a positive slope? Select all that apply. Select all that apply: The cumulative number of ships launched by ship builders as a function of the number of months since the start of the year The number of cars produced as a function of the number of days since the end of the last strike. The total shipping orders that are backlogged as a function of the number of ships in drydock. The number of backorders as a function of the number of assembly workers in a manufacturing company that makes the product.arrow_forwardBaby It’s You, a maker of baby foods, has found a high correlation between the aggregate company sales (in $100,000) and the number of births nationally the preceding year. Suppose that the sales and the birth figures during the past eight years are (given) a. Assuming that U.S. births represent the independent variable and sales the dependent variable, determine a regression equation for predicting sales based on births. Use years 2 through 8 as your baseline. b. Suppose that births are forecasted to be 3.3 million in year 9. What forecast for sales revenue in year 10 do you obtain using the results of part (a)?c. Suppose that simple exponential smoothing with a = .15 is used to predict the number of births. Use the average of years 1 to 4 as your initial forecast for period 5, and determine an exponentially smoothed forecast for U.S. births in year 9.d. Combine the results in parts (a), (b), and (c) to obtain a forecast for the sum of total aggregate sales in years 9 and 10.arrow_forward(4) Does how wide a possum's belly is (in cm) tell you how long a possum's tail is (in cm)? That's what re- searchers in Australia wanted to know. They built a simple linear regression model treating X as the possum's belly girth and Y as the possum's tail length. Below and at the top of the next page are all the results you will need to answer the ensuing questions, including: ● The straight line of best fit: ŷ = 30.2 + .21x • The correlation between the observed y and predicted ŷ: ry,ŷ .294 • At the top of the next page are three residual plots: (a) the plot of belly girth vs. the residuals, (b) the plot of the residuals in order of collection, (c) the histogram of the residuals = These are real data (source) consisting of measurements on each of 104 mountain brushtail possums, trapped at seven sites from Southern Victoria to central Queensland, Australia.arrow_forward
- Suppose you a manager for a local car dealership, and you want to use a linear regression model to predict the price of a used car. You decide to use four predictor variables - "Age' (how long the car has been in use since it was produced), "Dents" (the number of visible dents on the outside of the car), "Accidents" (the number of accidents the car has been in), and "mpg" (the fuel efficiency of the car, measured in miles per gallon). Your dataset contains this information for the past 120 cars sold at your dealership. Using this model, your analysis finds an R² of 37%. What is the F statistic of your analysis? Note: 1- Only round your final answer. Round your final answer to two decimal places.arrow_forwardThe Core grade point is the eventual dependent variable in a regression analysis. Look at the correlations between all variables. Is multicollinearity likely to be a problem? Why or why not?arrow_forwardScenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Respond to the following prompts in your initial post: 1. Identify the explanatory variables and response variable for the data. 2. What is the multiple regression equation for the data? 3. What is the coefficient of determination? 4. If a person 50 years old with a cholesterol of 220 is selected, what is that…arrow_forward
- A team from UNHABITAT took a random sample of 230 households in a city to better understand how the size of a house (measured in metres) is related to the number of people living in that house. They performed a regression analysis on the data and found that regression model had an R² = 18.3%. What is the correlation between the size of a house and the number of people living in that house? 0.667 0.183 0.033 0.904 0.428arrow_forwardThe data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. If one of these people has a systolic blood pressure of 125 mm Hg, what is the best predicted diastolic blood pressure? Systolic Diastolic Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? ŷ-+x (Round to two decimal places as needed.) What is the best predicted diastolic blood pressure? y=(Round to one decimal place as needed.) C 148 115 82 83 82 136 115 127 128 140 97 60 65 93 145 101 108arrow_forwardListed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 85 mm Hg. Use a significance level of 0.05. Right Arm 100 99 91 76 76 5 Left Arm 175 170 146 147 146 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y = +x (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 85 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg. (Round to one decimal place as needed.)arrow_forward
- Researchers studying tigers collected data on the length (in meters) and weight (in kilograms) of the animals. Is there statistically significant evidence that the length of tigers is related to their weight?arrow_forwardForensic scientists can learn about events at a crime scene by collecting data. Ex: Properties of glass shards at a crime scene such as chemical composition can indicate what type of glass was broken at the scene. Possible types include building glass (building windows or doors), vehicle glass (car windows or doors), or household glass (lightbulbs, baking dishes). The fitted logistic regression model for predicting whether a glass shard is building glass based on sodium is: = 20.02+(-1.42) (sodium) 1+e20.02+(-1.42) (sodium) Calculate the log-odds that a glass shard with sodium = 13.08 is building glass. Ex: 1.23 C Calculate the probability that a glass shard with sodium = 13.08 is building glass.arrow_forwardIf the regression line is y = -2.3x + 4.5 and there is correlation in the population what is true? Group of answer choices y is expected to decrease by 4.5 every time x increases by 1. y is expected to increase by 2.3 whenever x increases by 1. y is expected to decrease by 2.3 whenever x increases by 1. y is expected to increase by 4.5 anytime x increases by 1.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman