Calculate the correlation coefficient from the following results : N=10,sigmax= 350,Sigma Y= 310 Sigma (X – 35) ^2 = 162, Sigma (Y – 31) ^ 2 = 222, Sigma(X – 35) (Y– 31) = 92, Also find the regression line of Y on X
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- From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. sThe birth lengths in cm (x) and birth weights in kg (y) of a sample of 50 newborn female babies are compared, yielding a correlation coefficient of r=0.578 and a linear regression equation of ŷ =−8.89+0.243x The babies all had lengths between 46.5 and 53.0 cm, and weights between 2.50 and 4.05 kg. Based on this, predict the birth weight of a newborn female baby with a birth length of 48.5 cm.b.Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. find the critical values
- Consider the following correlations -0.9 , -0.5 , -0.2 , 0 , 0.2 , 0.5 and 0.9. For each give the fraction of the variation in y that is explained by the least-squares regression of y on x.1.Determine the linear correlation coefficient between speed and distance. ( round to three decimal places as needed). R =Consider the following regression equation specied for 2-period panel data: where i = 1; 2; :::N and t = 1; 2. If you expect that β_1 is positive, but the correlation between Δx_i and Δu_i is negative, thenwhat is the bias in the OLS estimator of β_1 in the first-differenced equation?
- The following table shows the number of full-time faculty that WVU has on staff throughout the years.Year # of Faculty2003 12102007 13302009 14202013 14702017 15002018 1660 (A) Find the equation of the regression line that represents the number of full-time faculty, F , as a function of x years since 2000. (round the regression coefficients to two decimal places)F(x) =_______________________? (B) What is the correlation coefficient (r-value) for the regression model? (Round your answer to three decimal places)r =________? (C) Given the value of r , does the regression line model the data well? That is, does the equation do a good job of modeling the data? 1.)No, the r-value is high, meaning the data can't be modeled using a line2.)Yes, the r-value is low, meaning the data can be modeled using a line 3.)No, the r-value is low, meaning the data can't be modeled using a line4.)Yes, the r-value is high, meaning the data can be modeled using a line Answer______________? (D) Using the…The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female).ŷ = 30 + 0.7x1 + 3x2Also provided are SST = 1200 and SSE = 384.The yearly income of a 24-year-old female individual is _____.b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
- The following table shows the number of fiber optic cable connections to homes in a country from 2000 to 2004 (t = 0 represents 2000). Year t 0 1 2 3 4 Connections c (Thousands) 5 15 30 70 155 (a) Use technology to obtain the linear regression line and the correlation coefficient r, with all coefficients rounded to two decimal places. c(t) = r =Let Z~Normal(0,1). Define X1 = Z and X2 = Z^2. Calculate Pearson's correlation coefficient.A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Men 61.7 42.8 72.6 57.9 55.4 62.1 Women 50.4 74.2 75.3 75.4 49.1 65.2 The correlation coefficient for the data is =r−0.003 and =α0.05. Should regression analysis be done? Now Find the equation of the regression line. Round the coefficients to at least three decimal places. =y′+abx =a =b Now Find women's life expectancy in a country where men's life expectancy =60 years. Round your answer to at least three decimal places. Women's life expectancy is ____ years.