4) What is the value of the standard error for the given data set?SampleTemperatureStrength118551502183512518751231885140189519518951901925150195515519651561985162193517219651962005063202502534567891011121314 A materials engineer wants to understand the relationship between the strength ofplastic cases and the temperature at which the strength measurements were made.The engineer collects several samples from the manufacturer and records thefollowing observations. Using the data below and what you have learned inForecasting, determine the following (use four decimal places for values):1) Which is the explanatory variable?2) What would be the value of the coefficient of correlation between the twovariables?3) What would be the complete interpretation of the relationship between the twovariables (consider sign and value)?

Answered: A materials engineer wants to…

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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Given the following data on a product yield based on temperature: Temperature (Degrees C), 115 X Yield (%), Y 62 125 135 145 155 165 175 81 185 64 69 77 78 82 88 Using any statistical software or your calculator, a) determine the coefficient of determination, b) determine the correlation coefficient, c) what does the coefficient of determination tell you (based on the data? d) what does the correlation coefficient tell you (based on the data)?
What is the coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation? Interpret your answer. Choose the correct answer below. O A. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or 0, respectively. This means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O B. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O C. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 0% of the…
. A professor at the University of Alabama was interested in evaluating the relationship between family support and delinquency. Using data collected on 4545 families, the researcher used regression to analyze the relationship. The results are presented below. Variables Entered/Removeda Model Variables Entered Variables Removed Method 1 Family supportb . Enter a. Dependent Variable: Delinquency b. All requested variables entered. Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .249a .062 .062 1.59168 a. Predictors: (Constant), Family support ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 759.204 1 759.204 299.671 <.001b Residual 11479.107 4531 2.533 Total 12238.311 4532 a. Dependent Variable: Delinquency b. Predictors: (Constant), Family support…
A value of r close to 0 indicates what type of linear correlation between the two variables? a. negative b. strong c. postive d. weak
Use the data set below to answer the following questions where weight is your independent variable and MPG is your dependent variable: 4. Give a predicted value of yˆfor a value of the explanatory variable which is not an actual observation in your data set. 6. What is the correlation coefficient, r? Interpret r.
INSTRUCTION: Classify the following researches based on the different types of research. (no need for explanation) As of objectives: 1 - Descriptive 2 - Correlational 3 - Exploratory 4 - Explanatory a. A researcher added new feature to an existing app. b. Passive smoking causes asthma in children. c. The university wants to understand if students will access online lessons rather than textbooks. d. A research answers the question why a computer system with more RAM has more speed as compared to a computer system with less RAM. e. A research answers the question that a computer system with more RAM has more speed. f. A research shows that 20% of the students failed in the exam. g. A research tells the reasons behind the failure of the students in the exam. h. Domestic violence causes a brain hemorrhage. i. Lack of education leads to crimes. j. An investigation into the ways of improvement of quality of services…
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 77 28 47 31 74 32 65 32 26 20 79 36 52 29 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
A researcher is curious about the association between the association between the number of hours that a student slept the night before the exam and exam score. The appropriate statistical test would be an: a. regression b. independent-samples t-test c. Pearson Correlaation Coefficient d. z test
Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from Mimbres Mogollon Archaeology by A. I. Woosley and A. J. McIntyre (University of New Mexico Press) provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T P Constant -0.212 2.429 -0.09 0.929 Diameter 0.7527 0.1686 5.33 0.013 S = 4.16190 R-Sq = 81.2% (c) The formula for the margin of error E for a c% confidence interval for the slope ? can be written as E = tc(SE Coef). The Minitab display is based on n = 12 data pairs. Find the critical value tc for a 90% confidence interval in the relevant table. Then find a 90% confidence interval for the population slope ?. (Use 3 decimal places.) tc lower limit upper…
You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 31 23 60 27 33 18 64 36 72 31 65 31 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) αα Greater than αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is a…
Using the below data, how will you judge the degree of correlation between the two variables x and y? Edxdy = 125 Ox = 5 n = 60 Oy = 7 O a. Very low degree of correlation O b. No correlation O C. Perfect correlation O d. Very high degree of correlation
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