An article used a multiple regression model with fourindependent variables to study accuracy in reading liquid crystaldisplays. The variables were
y = | error percentage for subjects reading a four-digit liquidcrystal display |
x1 = | level of backlight (ranging from 0 to 122cd/m2) |
x2 = | character subtense (ranging from 0.025° to 1.34°) |
x3 = | viewing angle (ranging from 0° to 60°) |
x4 = | level of ambient light (ranging from 20 to 1500 lux) |
The model fit to data was Y = β0 +β1x1 +β2x2 +β3x3 +β4x4 + ε. Theresulting estimated coefficients were 0 = 1.52,1 = 0.01, 2 = −1.40, 3 = 0.02,4 = −0.0009.
(a) The estimated model was based on n = 30observations, with SST = 39.5 and SSE = 22. Calculate thecoefficient of multiple determination. (Round your answer to threedecimal places.)
(b)Calculate the test statistic using α = 0.05. (Round youranswer to two decimal places.)