A rocket motor is manufactured by bonding together two types of propellants, an Igniterand a sustainer. The shear strength of the bond (y) is thought to be a linear function of theage of the propellant (x) when the motor is cast. Twenty observations are shown in thefollowing table.Observation StrengthAgeObservation StrengthAgeNumber(psi)(weeks)Number(psi)(weeks)12158.7015.50112165.2013.001678.1523.75122399.553.7532316.008.00131779.8025.0042061.3017.00142336.759.752207.505.00151765.3022.001708.3019.00162053.5018.0071784.7024.00 I172414.406.002575.002.50182200.5012.502357.907.50192654.202.00 102277.7011.00201753.7021.50a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R.b. Does the age of the propellant appear to contribute any information to the prediction ofshear strength of the bond? Test at the 5% level of significance. Provide the completeRegression Analysis.c. If a propellant age is 28 weeks, find a 95% prediction interval for the shear strength ofthe bond.

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Answered: a. Fit a straight line by the method of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let kids denote the number of children ever born to a woman, and let educ denote years of education for the woman. A simple model relating fertility to years of education is: kids; = Bo + B1educ; + uż. 1. What are the parameters in the model? 2. What kinds of factors are contained in u? Are these likely to be cor- related with level of education? 3. Will a simple regression analysis uncover the ceteris paribus effect of education on fertility? Explain.
Please answer the problem with complete solutions. Thank you!
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Worksheet #9 An analyst for a shopping district would like to determine the rent that should be charged for retail spaces depending on how close they are to parking. That is, they would like to determine the rent to charge, using distance from parking. The analyst takes a random sample of retail spaces in similar shopping districts and measures the monthly rent ($) and distance from parking (in yards) for each retail space. 1) What are the dependent and independent variables in this analysis? y = X = Here is the scatterplot of the data: Monthyl Rent ($) 18000 17000 16000 15000 14000 13000 12000 11000 10000 Rent and Distance from Parking 0 25 50 75 100 125 150 175 200 225 250 275 300 Distance from Parking (yards) 2. Do you anticipate that the regression line will have a positive or a negative slope? Why? Here is the Coefficients Table from the regression output (See the Regression Output Equations handout-the one-page roadmap - for reference. This is the third table down): Standard…
You performed a regression analysis of a set of bibariate data (two variables) and found that the coefficient od determination was .99 for a quadratic model and .88 for cubic model Explain which model you would use and why
A study was conducted in California to investigate the relationship between house size (x in square feet) and house price (y in thousands of dollars). The least-square regression line is given below y= 263.5 + 0.174x R2 = 0.728 a) Interpret the slope of the given regression line b) find the predicted house price for a house size of 120 square feet c) if the actual house price was $449.5 thousand dollars for a house size of 1200 square feet, calculate the residual of the home d) find the correlation coefficient. Round to 3 decimal places
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When using population size as the explanatory variable, x, and broadband subscribers as the response variable, y, for data on the number of individuals in a country with broadband access and the population size for 36 nations, the regression equation is y = 4,975,098 +0.0342x. a. Interpret the slope of the regression equation. Is the association positive or negative? Explain what this means. b. Predict broadband subscribers at the (i) population size 7,014,655, (ii) population size 1,155,173,053. c. For one nation, y = 71,110,000, and x = 322,413,902. Find the predicted broadband use and the residual for this nation. Interpret the value of this residual. a. Since the association is positive, the slope means that as the (Type an integer or a decimal.) b. (i) The predicted broadband subscribers for population size 7,014,655 is (Round to the nearest whole number as needed.) population size increases by 1 unit, the number of broadband subscribers tends to increase by 0.0342.
please answer for what is the p value

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