In: Statistics and Probability
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