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Answer :
The answer to the first question is a. Nominal. The answer to the second and third questions are option a -1.31 cm and option a 87.5%, respectively
To compute the sum of squares, we need the mean of the data.
x: 2, 4, 6, 8, 10, 12, 18, 21
y: 3, 5, 8, 6, 8, 15, 10, 12
Mean of x = (2+4+6+8+10+12+18+21)/8 = 9.375
Mean of y = (3+5+8+6+8+15+10+12)/8 = 8.5
SSE = Σ(yi - ŷi)²
= (3 - 8.525)² + (5 - 9.002)² + (8 - 11.48)² + (6 - 10.336)²
+ (8 - 11.48)² + (15 - 19.556)² + (10 - 12.962)² + (12 - 15.898)²
= 127.98
The residual is given by:
residual = observed y value - predicted y value
= 29 - (10.9 + 0.23*73)
= -1.31 cm
The proportion of variation explained by x is:
R² = 1 - (SSE/SSTO) = 1 - (10.7/85.2) = 0.875 or 87.5% (approx.)
The answer to the first question is a, the second and third questions are option a and option a respectively.
To know more about mean refer to-
https://brainly.com/question/30112112
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