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a) Define Y^ = b0 + b1x
where b0 is the y intercept and b1 is the slope or regression coefficient of the line.
b1 = (∑xy - (∑X ∑Y)/n ) /( ∑X2 - ( ∑X )2/n )
= (700 - (100 * 200)/10) / ( 1000 - (100)2/10)
= (-1300)/ ( 0 ) which is undefined
since b1 is undefined,it makes it impossible to handle part b, c, d and e respectively.
b) variance of the slope = MSE/ ∑( XI - X- )2
c) coeeficient of determination = ( coefficient of correlation)2
d) t = b1/sb1 , where b1 is the slope and sb1 is the of the variance of the slope
e) if tcalculated > ttabulated ,then we conclude that the slope is significant.