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For the X,Y data below, compute:
a. r and determine if it is significantly different from zero.
b. the slope of the regression line and test if it differs significantly from zero
c. the 95% confidence interval for the slope.
X Y
4 6
3 7
5 12
11 17
10 9
14 21
I have for A:
R=nΣxy - (Σx)( Σy)/sqrt n(Σx^2)-(Σx)^2*sqrt n(Σy^2) - (Σy)^2
R = 6(676) - (47)(72)/sqrt6 (467) - (47)^2) * sqrt6 (1040_ - (72)^2
R = 4056 - 3384/sqrt2802 - 2209 * sqrt6240 - 5184
R = 672/sqrt593 * sqrt1056
R= 672/24.352 * 32.496
R = 672/791.346
R = 0.849, yes the P value is 0.032 which is smaller than 0.05 indicating that R is significantly different than zero.
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