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- The number of inches that a recently built structure sits on the ground is given by (image) where x is its age in months. a) Create a scatter plot to verify that it is reasonable to assume that the regression of Y on x is linear.b) Fit a straight line using the method of least squares. c) Use the least squares method to estimate alpha.Suppose X and Y are continuous random variables such that the pdf is f(x,y)=x+y with 0≤x≤1,0≤y≤1. a)Draw a graph that illustrates the domain of this pdf. b)Find the marginal pdfs of X and Y.c)Compute ux,ux,var x,var y, cov(x,y) ,and pd (Rho d)) Determine the equation of the least squares regression line and draw it on your graph.Let X = height of the students in inches Let Y = Foot length of the students in centimeters Complete manual solutions for ANOVA with 8-step procedure using the critical value approach and stating the p-value with interpretation at the 0.01 level of significance. For hypothesis testing of the significance of the linear relationship, show the 8-step procedure t-test (ρ = 0) using the critical value approach and stating the p-value with interpretation at the 0.01 level of significance.
- compute the least-squares regression line for predicting diatolic pressure (y)from systolic pressure(x) find the P-value Interpret the P-value state a conclusionFind the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.)(−1, 0), (1, −1), (3, −3)Prove that the slope of the sample regression function (B2) is the blur of the assumption s of gauss Marko theorem are satisfied make sure to show all the steps and the underlying assumptions
- The least-squares regression equation is y=784.6x+12,431 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7962. Interpret the slope.Draw a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Then draw the least-squares regression line on the graph.The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. Predict the median income of a region in which 30% of adults 25 years and older have at least a bachelor's degree.
- Find the slope of regression line, y-intercept of regression line, coefficient of determination (r^2), and the linear correlation coefficient (r)Derive the normal equation for finding the least-squares linear fitthrough the origin y = Ax.Use the least squares regression to fit a straight line to: Along with the slope and intercept, compute the standard error of the estimate and the correlation coefficient. Plot the data and the regression line