You are radioactive. Your friend holds a Geiger counter up to you each day for a month and measures the amount of radiation you emit (units: log-rads):

day (x-axis):
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30

emission rate (y-axis):
4.992978, 4.649644, 4.207954, 4.272358, 3.754023, 4.620570, 4.413982, 3.962083, 3.261861, 3.174920, 3.787362, 4.231206, 3.649822, 3.589744, 4.488566, 3.501440, 3.216620, 3.138885, 3.151528, 3.138287, 3.151362, 3.027574, 2.938005, 2.550175, 3.146502, 2.927469, 2.950873, 3.026285, 2.095725, 1.933463, 2.938397

Compute the best fit line to the data. Report:
(a) The slope coefficient, β1.
(b) The intercept coefficient, βo.
(c) The standard error of the residuals.
(d) The Adjusted R-squared correlation coefficient Adjusted R².
(e) Is the slope coefficient significant at, at least the 95% level of confidence?
(f) Is the intercept coefficient significant at, at least the 95% level of confidence?
(g) Given this data and the fit results, what is an equally valid relation between the explanatory and response variables? (Note m≠0 and b≠0)

a) y = mx + 0
b) y = x
c) y = mx + b
d) y = 0x + 0