An article used a multiple regression model with four independent variables to study accuracy in reading...

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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.)

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3.6 Ratings (264 Votes)
a SST 395 and SSE 22 where SST is total sum of square and SSE is Residual sum of squares SSR SST SSE 395 22 175 where SSR is Regression sum of squares Coefficient    See Answer
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