ΣX2 = 65 ΣY2 = 54100 X̅ = 2.3 Y̅ = 73 Σ(Y-Y̅)2 = 810 Σ(Ŷ-Y̅)2 = 198.3 Σ(Y-Ŷ)2 = 611.7 a) Compute the correlation coefficient between year in college and percent of class lectures attended. What does this value tell us? b) Using a significance level of .05, test the null hypothesis that, in
A researcher wants to know if there is a relationship between year in college (X) (1=freshman, 2=sophomore, 3=junior, 4=senior) and percent of class lectures attended (Y). For a sample of 10 students, the following results are obtained:
ΣX = 23
ΣY = 730
ΣXY = 1630
ΣX2 = 65
ΣY2 = 54100
X̅ = 2.3
Y̅ = 73
Σ(Y-Y̅)2 = 810
Σ(Ŷ-Y̅)2 = 198.3
Σ(Y-Ŷ)2 = 611.7
a) Compute the
b) Using a significance level of .05, test the null hypothesis that, in the population, the correlation between year in college and percent of class lectures attended is zero.
c) Compute and interpret the coefficient of determination (R2).
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