Question

Predict X based on the datasets in Y

X	Y
250 360 475 525 610 740 880 920 1010 1200	303 491 659 683 922 1044 1421 1329 1481 1815

a) Construct the prediction equation.

b) Conduct hypothesis test using alpha=0.05 and draw a conclusion.

Answer 1

(a) The prediction equation is:

y = -96.6709 + 1.5946*x

(b) The hypothesis being tested is:

H0: β1 = 0

H1: β1 ≠ 0

Source	SS	df	MS	F	p-value
Regression	21,25,515.1260	1	21,25,515.1260	737.95	3.63E-09
Residual	23,042.4740	8	2,880.3093
Total	21,48,557.6000	9

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the slope is significant.