Using the method of Least Squares, determine the value of y when x = 3.0 ation By using the given data:
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- Given are five observations for two variables, x and y. xi 3 8 12 18 20 yi 54 57 50 24 11 -select your answer choices- b. The least squares line provided an (good, bad) fit; __ % of the variability in y has been explained by the estimated regression equation (to 1 decimal)The least-squares regression line relating two statistical variables is given as = 24 + 5x. Compute the residual if the actual (observed) value for y is 38 when x is 2. 4 38 2Compute the sum-of-squares error (SSE) by hand for the given set of data and linear model. (6, 6), (7, 7), (9, 10); y = x − 1
- Given are five observations for two variables, x and y. xi 5 9 13 17 20 yi 50 54 46 23 11 The estimated regression equation for these data is ŷ=0.6+2.6x a. Compute SSE, SST, and SST (to 2 decimals) and show work. SSE=________ SST=_________ SSR=_________ b.Compute the coefficient of determination r^2. Comment on the goodness of fit. The least squares line provided a good fit; ________% of the variability in y has been explained by the estimated regression equation (to 3 decimal). Show work. c. Compute the sample correlation coefficient. Enter negative value as negative number. Show work. ___________________A regression analysis between weight (y in pounds) and height (x in inches) resulted in following least squares line: y^= 120+5x. this implies that if the height is increased by 1 inch, the weight is expected ?A researcher collected data on the cholesterol level, CC, and the age, AA, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2AC^=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0H0:β=0 versus Ha:β≠0Ha:β≠0 ?
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- You are conducting a test of independence for the claim that there is an association between the row variable and the column variable. X Y Z A 44 49 20 B 8 28 44 The expected observations for this table would be X Y Z A B What is the chi-square test-statistic for this data? (2 decimals)χ2=Report all answers accurate to two decimal places.The following table shows the marks in statistics and economics for ten students. Fit a least square line to the data using a) ‘X’ as the independent variable b) What will be the regression equation if X= 20Which method gives a unique set of values to the constants in the equation of the fitting curves? * Newton's Method Interpolation Horner’s method Method of least squares