Find the independent nonlinearity and the correlation coefficient for the following set of inputs and outputs from a nearly linear system. Instrument was designed for an output equal to twice the input. Full scale is 20. Input 0.50 1.50 2.00 5.00 10.00 Output 0.90 3.05 4.00 9.90 20.50

2a. calculate the value of the linear correlation coefficient R and the critical value of our using alpha= 0.05. show your calculations for r below. include an explanation on how you found the critical value.  r:  CV of r:  2b. determine whether there is sufficient evidence to support the claim of a linear correlation between the magnitude and the deaths from the earthquakes. explain your answer.  2c. find the regression equation. let the predictor (x) variable be the magnitude. identify the slope and the Y intercept within your regression equation. show your calculations below. Describe how you constructed the regression equation.  Slope:  Y intercept:  2d. is the equation a good model? explain your answer.  2e. what would be the best predicted depth of an earthquake with a magnitude of 2.6? include the correct units. show your calculations below. explain how you determined your answer.

The difference between a regression weight and a beta weight is: A regression weight assumes linearity. A beta weight is for the population while a regression weight is for the sample. A regression weight is less biased. A beta weight is a standardized regression weight.

7. Find slop of a linear regression model for the following data: x = [1, 2, 3, 4, 5, 6, 7] z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81]. -1.7 -0.5 0.5 O 1.7 CS Scanned with CamScannel