Question

The data show the time intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of

120

feet. Use a significance level of 0.05.

Height (ft)

Height (ft)   Interval after (min)
96   68
111   80
76   66
91   72
66   58
108   79
116   84
91   79

What is the regression equation?

(Round to two decimal places as needed.)

What is the best predicted time for the interval after an eruption that is 120 feet high?

The best predicted interval time for an eruption that is 120 feet high is

​(Round to one decimal place as​ needed.)

Answer 1

The data show the time intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 120 feet. Use a significance level of 0.05.

Height (ft)   Interval after (min)
96   68
111   80
76   66
91   72
66   58
108   79
116   84
91   79

What is the regression equation?

Interval after (min) = 29.83+0.46* Height (ft)  

(Round to two decimal places as needed.)

What is the best predicted time for the interval after an eruption that is 120 feet high?

The best predicted interval time for an eruption that is 120 feet high is

​Predicted Interval after (min) = 29.83+0.46* 120 =  85.03

=85.0 ( one decimal)

(Round to one decimal place as​ needed.)

Regression Analysis
	r²	0.820	n	8
	r	0.906	k	1
	Std. Error	4.029	Dep. Var.	Intervalafter(min)
ANOVA table
Source	SS	df	MS	F	p-value
Regression	444.1197	1	444.1197	27.36	.0020
Residual	97.3803	6	16.2301
Total	541.5000	7
Regression output					confidence interval
variables	coefficients	std. error	t (df=6)	p-value	95% lower	95% upper
Intercept	29.8273	8.4223	3.541	.0122	9.2188	50.4358
Height(ft)	0.4601	0.0880	5.231	.0020	0.2449	0.6753
Predicted values for: Intervalafter(min)
		95% Confidence Interval		95% Prediction Interval
Height(ft)	Predicted	lower	upper	lower	upper	Leverage
120	85.040	78.516	91.564	73.219	96.861	0.438