3. Given a set of paired data (X,Y) a. If Y is independent of X, then...
Name: Instructor Date: Section 6. The regression line equation for a set of data is given by y-23x+. -10. The value of for this same data set is 10.1. Use α .05 a. If the lincar correlation coefficient for this data is -521, what is the best y -value for x 57 b. If the linear correlation coefficient for this data is r 972, what is the best predicted y-value for x=5? size n 15 with a 01 7. What...
For a given bivariate data set, the sample correlation coefficient was found to be close to 1. Which of these is (reasonably) valid? x and y are independent y can be predicted using x x causes y y causes x
b- A linear regression of Y vs X leads to an R equal to 1.23, what can you conclude? c-Given paired data (X,Y), if Y is independent of X, what would you expect R2 to be? d- Given paired data (X,Y), how could Y be closely dependent upon X yet R2 is close to 0?
Show work please, Thanks! Question 3: The regression line equation for a set of data is given by y-hat = 2.3x+5 with n = 10. The mean value of y is 10.1 for the data set. Use a = 0.05. A. If the linear correlation coefficient is r=0.521, what is the best predicted y-value for x = 5? Justify for your answer. B. If the linear correlation coefficient is r = 0.972, what is the best predicted y-value for x...
problem 7. Clo pts) 5.5 For the data set x 0 y 14 1 3 6 0 3 2 5 1 (a) Construct a scatter diagram. (b) Guess the sign and value of the correlation coefficient. (c) Calculate the correlation coefficient.
Perform rank correlation analysis on the following data set: x y -3 -0.3 -2.15 -0.3 -1.25 -0.4 -0.35 -0.6 0.6 0.7 1.5 1.1 2.5 1.1 3.4 -0.7 What is the rank correlation coefficient? (Round to three decimal places.) What is the critical rho value at a 0.05 significance? Do we have correlation? No, the rank correlation coefficient is larger (in absolute value) than the critical rho value. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho...
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d. 2. Let the following data be given where X...
A data set yielded the following regression line: y = 6.5 -0.75 x. (a) Is the data point ( 4 , 3.2) above or below the regression line? below the line (b) If X increases by 6, by how much and in what direction would you expect Y to change? We expect Y to decrease by 6 X (c) If X = 3, what is your prediction for Y? 4.25 (d) If you want Y to equal 5.6, and you...
1. Problem 1. Given a data set (X, Y), use the least squares techniques to find the best ftting curve y-/() within the exponential family v ab) where a,b ER. The data set is given by, where, χ-io, 0.2, 0.4, 0.6, 08, 09, 1, 12, 14, 1.6] y 2, 2.5, 3.1, 3.9, 4.8, 5.4, 6, 7.5, 9.3, 11.6] In particular: a) Going from the original data (x,Y) set to the transformed data set (X, Z) with z(Y)-In (Y), verify that...
The β 1 term indicates a. the Y value for a given value of X. b. the average change in Y for a unit change in X. c. the Y value when X equals zero. d. the change in observed X for a given change in Y. What does regression analysis attempt to establish? a. linearity in the relationship between independent variables b. a mathematical relationship between a dependent variable, for which future values will be forecast, and one or...