Question

In a yearlong study of gas usage to heat a particular building, on 37 randomly selected days during the year, the average outside temperature was measured as well as the corresponding gas usage for a 24-hour period. The simple linear model E(y) = β0 + β1x, where x is the average outside temperature over a 24-hour period and y is the gas usage during that same time period, was fit to the data. The analysis is given below.

Regression Statistics
Multiplier		0.4804958
R Square		0.23087621
Adj R   Square		0.20890125
STD Error		1.82116543
Observations		37

		DF	SS	MS	F	P-value
REGRESSION		1	34.84575	34.84575	10.50633	0.002612
RESIDUAL		35	116.0825	3.316644
TOTAL		36	150.9283

	INTERCEPT	TEMPERATURE
Coefficients	20.7988204	-0.016266
Std Error	10.748173	0.00501828
t Stat	1.9351029	-3.2413468
P-value	0.06109107	0.00261236
Lower 95%	-1.0211305	-0.0264536
Upper 95%	42.618772	0.0060783
Lower 95%	1.0211305	0.0264536
Upper 95%	42.618772	-0.0060783

Answer 1

"At  α=.05, there   is ________________ between average outside temperature and   gas usage.”     

What is the   appropriate phrase to fill in the blank?    

A.    Insufficient evidence of a positive   linear relationship    

B.    Sufficient evidence of a positive   linear relationship    

C.    Insufficient evidence of a negative   linear relationship    

D.    Sufficient evidence of a negative   linear relationship