Question

In: Statistics and Probability

Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45,...

Consider the x, y data:

x-data (explanatory variables):

10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

y-data (response variables):

1359.9265, 1353.3046, 220.7435, 964.6208, 1861.9920, 1195.3707, 1702.0145, 2002.0900, 1129.1860, 1864.5241, 1444.2239, 2342.5453, 2410.9056, 2766.2245, 2135.2241, 3113.7662, 4311.7260, 3313.1042, 4072.0945

Compute a best fit line to the data. Report:
a. The slope coefficient, β1:  

b. The intercept coefficient, β0:

  
c. The standard error of the residuals σε:  

d. The Adjusted R-squared correlation coefficient,

Adjusted R2:

  
e. Is the slope coefficient significant at, at least the 95% level of confidence?

no OR yes     


f. Is the intercept coefficient significant at, at least the 95% level of confidence?

yes OR no    

Solutions

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