I have attached the screenshot of the question and the screenshot of the data that is in shuttlemission file. Please answer the questions and provide the screenshots of the outputs as well. Thanks **Observational Data on O-rings from Shuttle Missions**This exercise involves analyzing data from 23 shuttle missions to study the probability of O-ring damage based on temperature. The dataset can be accessed from: *shuttlemission.csv*.**Objective:**Model the probability of O-ring damage as a function of ambient temperature.**Variables:**- **Dependent Variable:** - **Damaged**: Coded as 1 if the O-ring is damaged, 0 if undamaged. - **Explanatory Variable:** - **Temperature**: Measured in degrees Fahrenheit.**Tasks:**a. Import the data in JASP and execute a logistic regression analysis. Ensure you provide a full capture of the output.b. Formulate the logistic regression equation from the JASP output.c. Determine if the beta (β) estimate for Temperature is statistically significant at a 5% significance level. Interpret the findings.d. Evaluate if the logistic model’s output justifies that temperature contributes to O-ring damage. Provide a Yes/No answer and interpret.e. Calculate the predicted probability (\(\hat{p}\)) of O-ring damage for these temperatures: - **51°F** - **53°F** - **55°F** - **57°F****Submission:**Prepare your Learning Journal assignment in Word, Spreadsheet, or PDF format.*Note*: Remember that statistical significance and model interpretation are crucial parts of this analysis, aiding in understanding the impact of temperature on O-ring integrity. ### Shuttle Mission Temperature and Damage DataThis table presents data from a series of shuttle missions, focusing on the temperature conditions and the resulting state of the shuttle components, specifically categorized into "Damaged" and "Undamaged". The details are as follows:- **Shuttle Mission:** Sequentially numbered from 1 to 23.- **Temperature (°F):** The temperature at which each shuttle mission was conducted, ranging from 53°F to 81°F.- **Damaged:** Number of components reported as damaged during or after the mission.- **Undamaged:** Number of components that remained intact and undamaged.#### Data Breakdown:1. **Missions 1 to 4:** - Temperatures range from 53°F to 63°F. - Each of these missions noted 1 damaged component.2. **Missions 5 to 13:** - Temperatures range from 66°F to 70°F. - Most missions in this range reported no damage except missions 11 and 13, which both had 1 damaged component.3. **Missions 14 to 23:** - Temperatures range from 70°F to 81°F. - All these missions showed no damage.#### Observations:- Lower temperatures, particularly between 53°F and 58°F, coincide with a higher instance of damage.- As temperatures increase (from 66°F and above), the likelihood of damage appears to decrease, with few exceptions.- The data suggests a potential correlation between higher temperatures and reduced damage occurrence.This data can be used to assess the impact of launch temperatures on shuttle component integrity, highlighting an important factor in shuttle safety and performance evaluation.

a. Import/enter the data in JASP, then go to Analyse>Regression>Logistic regression>enter the dependent and covariate variables.We get the following output:b) Based on the output, the equation of logistic regression is:, where "ln" is the natural log and is the odds of being damaged.c) The p-value (p) associated with estimate of temperature is 0.041, which is less than 0.05 (5%) significance level. Therefore, we can reject the null hypothesis of no significance and conclude that it is significant. The value of the estimate is -0.401, which means that for every one degree Fahrenheit increase in the ambient temperature, the log of odds of being damaged decreases by 0.401 on average.d) Yes, because there is a significant relationship b/w temperature and the odds of damaging, we can conclude that it is likely that the damage to O-ring was because of temperature.e) For the logistic regression, the probability of being damaged is given as:p = For temp. = 51: p = For temp. = 53: p = For temp. = 55: p = For temp. = 57: p = Answer to each part is given above.

Math

Statistics

Observational data on O-rings from 23 shuttle missions showing the number of damaged and undamaged O-rings for each space mission is provided here: shuttlemission.csv For this task, we are interested in modelling the probability of damage to O-ring due to the temperature. Dependent Variable Damaged (this variable captures the damage to the O-ring: 1 is coded for damaged and 0 is coded for undamaged) a. Import the data in JASP and run the logistic regression model on interest (provide a full capture of the output). b. Write the equation for the logistic regression based on the JASP output. c. Is the B estimate associated with Temperature statistically significant with a 5% significance level? Interpret. d. Based on the output of the logistic model, is it justified that a part of the O-rings was damaged because of temperature (Yes/No)? Interpret. e. Find the model-estimated probability an O-ring being damaged for the following ambient temperatures: Temperature (degree Fahrenheit) 51 53 55 57 Explanatory Variable Temperature (ambient temperature in degree Fahrenheit) p

Observational data on O-rings from 23 shuttle missions showing the number of damaged and undamaged O-rings for each space mission is provided here: shuttlemission.csv For this task, we are interested in modelling the probability of damage to O-ring due to the temperature. Dependent Variable Damaged (this variable captures the damage to the O-ring: 1 is coded for damaged and 0 is coded for undamaged) a. Import the data in JASP and run the logistic regression model on interest (provide a full capture of the output). b. Write the equation for the logistic regression based on the JASP output. c. Is the B estimate associated with Temperature statistically significant with a 5% significance level? Interpret. d. Based on the output of the logistic model, is it justified that a part of the O-rings was damaged because of temperature (Yes/No)? Interpret. e. Find the model-estimated probability an O-ring being damaged for the following ambient temperatures: Temperature (degree Fahrenheit) 51 53 55 57 Explanatory Variable Temperature (ambient temperature in degree Fahrenheit) p

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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