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PLEASE HELP! I am really struggling with this one – PLEASE COMPLETELY

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PLEASE HELP! I am really struggling with this one – PLEASE COMPLETELY
DETAIL HOW YOU CAME UP WITH THE ANSWERS FOR EACH QUESTION SO THAT I CAN WORK THROUGH IT MYSELF ALSO. Thank you so much!

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.

I AM HAVING TROUBLE WITH B & C

 
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