Question

In: Statistics and Probability

Fast reactions: In a study of reaction times, the time to respond to a visual stimulus...

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

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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?

Solutions

Expert Solution

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

Data > Data analysis > Select the data > ok

===================================

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

=======================================

Regression line

y = 164.88155 - (0.31700) x

=======================================

P-value = 0.55739/2 = 0.2787

======================================

Do not reject

======================================

Evidence = P-value > 0.05

orchestra answered 1 year ago
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