Question

Fast reactions: In a study of reaction times, the time to respond to a visual stimulus x and the time to respond to an auditory stimulus y were recorded for each of 6subjects. Times were measured in thousandths of a second. The results are presented in the following table.

Visual	Auditory
138	135
130	114
131	120
110	106
101	142
107	145

Send data to Excel

Use the -value method to test =:H0β10 versus <:H1β10. Can you conclude that visual response is useful in predicting auditory response? Use the =α0.05level of significance and TI-84 Plus calculator.Compute the least-squares regression line for predicting auditory y from visual x. Round the slope and y-intercept values to at least four decimal places.

Regression line: Y=________

P- Value _______

Reject or do not reject?

Evidence?

Answer 1

Note:- I have used Excel and the command is as follows

Data > Data analysis > Select the data > ok

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Output

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.30448
R Square	0.09271
Adjusted R Square	-0.13412
Standard Error	16.98585
Observations	6
ANOVA
	df	SS	MS	F	Significance F
Regression	1	117.9242	117.9242	0.4087	0.5574
Residual	4	1154.0758	288.519
Total	5	1272
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	164.88155	59.65783	2.76379	0.05065	-0.755126673	330.5182285
Visual	-0.31700	0.49584	-0.63931	0.55739	-1.69368588	1.059685027

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Regression line

y = 164.88155 - (0.31700) x

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P-value = 0.55739/2 = 0.2787

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Do not reject

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Evidence = P-value > 0.05