An analysis of the four independent variables given in Example 1 are shown in the simplecorrelation matrix. Specify which ones should be considered for inclusion in regressionequations, with reasons.T*****X₁X₂X₂X₂T1.0X₁0.751.00X₂0.950.431.00X,0.440.250.291.00X₂0.750.950.450.281.00

Given the simple correlation matrix of the four independent variables…

Answered: An analysis of the four independent…

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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1. Question: Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly aﬀected by the inﬂuence of climate change. Table 1 is a summary from a linear regression that uses dewpoint (°C) to predict malaria prevalence in West Africa.Fig. 1: Regression(a) Write the equation of the least square regression line. (b) Find the correlation coeﬃcient r. (c) IsthereastrongcorrelationbetweendewpointandmalariaprevalenceinWestAfrica? (d) Is there a negative association between dewpoint and malaria prevalence in West Africa?
Data from 10 Western European countries: summary statistics show that the mean percent of teens that use marijuana is 23.9 with a standard deviation of 15.6. The mean percent of teens that use other drugs is 11.6 with a standard deviation of 10.2. The correlation coefficient is r= 0.93 Find the equation of the least squares regression line considering Marijuana Use as the Explanatory variable and Other Drug Use as the Response variable. O a. ý = 7.43 + 1.42x O b. ý = - 1.42 -0.61x %3D Oc = -2.98 +0.61x %3D O d. ý = 6.10 +2.98x
1. Correlation analysis is used to determine the equation of the regression line b. a specific value of the dependent variable for a given value of the independent variable the strength of the relationship between the dependent and the independent variables d. a. с. None of these alternatives is correct.
Which of the following is(are) TRUE if the coefficient of determination between the response and the predictor variables is 0.81 based on a random sample of size n. O Neither Anor B O A. This means that 19% of the total variation in the response variable remains unexplained by the simple linear regression model that uses the given predictor variable. O Both A and B B. The Pearson's sample correlation coefficient is +0.9.
Life Expectancies A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Men 71.8 68.0 57.2 68.8 69.1 72.0 Women 65.2 67.3 45.0 66.3 68.1 60.2 The correlation coefficient for the data is r=0.829 and =α0.05. Should regression analysis be done? The correlation coefficient for the data is =r0.829 and =α0.05 . Should regression analysis be done? Find the equation of the regression line. Round the coefficients to at least three decimal places. y=′a+bx =a =b Find women's life expectancy in a country where men's life expectancy = 57 years. Round your answer to at least three decimal places. Women's life expectancy in years.
You conduct a Pearson Product-Moment correlation test to see if two variables are related to each other. Even though the test is significant, you suspect that there actually isn't a real relationship between X and Y, and that they only seem to be related because of their relationship to another variable Z. This is called: bi-directionality the third-variable problem reverse-causality a causal effect
8
Consider a two-dimensional scatterplot representing the relationship between two continuous variables. If the correlation coefficient is -1, then: a. All points lie in a straight line with a slope of -1. b. All points lie in a straight line with an unknown negative slope. c. All points do not lie in a straight line but the best fitting regression line has a slope of -1 d. There is a strong positive relationship between the two variables.
If all the points in a scatter plot fall precisely on the regression line then the correlation is____ choose one perfect or negative or positive
If a predictor variable (x) is highly correlated with another predictor variable (x), the variables are providing essentially the same information. This is best referred to as multi-collinearity. Group of answer choices True False
A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis (Pearson's Correlation)

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