State the Odds Ratio for the slope and find 95% confidence interval of the slope. (do not forget to include conclusions and show work) It is of interest to explore the relationship between study duration per day (0-8) and the passing of theacademic course (Pass=1, Fail=0). For this purpose, a sample of 36 students from ShippensburgUniversity are chosen and the summary of the logistic regression model is given below:VariableStudy duration(SDURATION)InterceptCoefficient Standardvalueerror0.573.690.110.72p-value0.000.00

The logistic regression equation is of the form logy=β0+β1xβ0 is the interceptβ1 is the slopey is dependent variable and x is independent variable The summary of the logistic regression model is displayed below. The logistic regression is conducted to explore the relationship between study duration per day(0-8) and the passing of academic course(pass=1 and Fail=0) In this case, passing of academic course is a dependent variable and study duration per day(0-8) is independent variable. From the output, the intercept is, β0=3.69 The slope coefficient of study duration is, β1=0.57 The regression equation is of the form, logy=β0+β1xlogy=3.69+(0.57)x The odds ratio for the slope is, ORStudy duration=expβ1 =exp0.57 =1.7683 From the output, the standard error of the slope is, SE(β1)=0.11 The confidence level is, C=95%=95/100=0.95. The level of significance is, α=1-c=1-0.95=0.05 From standard normal table, at 0.05 level of significance, the two-tailed critical value is, zα/2=z0.05/2=±1.96. The 95% confidence interval for the slope coefficient is, exp(β1±zα/2×SEβ1)exp(0.57±z0.05/2×0.11)exp(0.57±(1.96×0.11))exp((0.57±0.2156)) exp((0.57-0.2156,0.57+0.2156))exp((0.3544,0.7856))(exp(0.3544), exp(0.7856))(1.4253,2.1937)

Answered: State the Odds Ratio for the slope and…

Math

Statistics

State the Odds Ratio for the slope and find 95% confidence interval of the slope. (do not forget to include conclusions and show work)

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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