In: Statistics and Probability
2. In a study of reaction times to a visual stimulus and the response time to an auditory stimulus were recorded for each of 10 subjects. Time's were measured in thousandths of a second
Visual | Auditory |
161 |
159 |
203 | 206 |
235 | 241 |
176 | 163 |
201 | 197 |
188 | 193 |
228 | 209 |
211 | 189 |
191 | 169 |
178 | 201 |
a) Compute the least Squares regression line for predicting auditory response time from visual response time.
b) Construct a 95% confidence interval for the slope
c) Can you conclude that visual response is useful in predicting auditory response? Use alpha=.01 in hypothesis test
d) create a labeled scatter plot of the data
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Interpretation:
The scatter plot delineates the strong positive linear relationship between the quantitative variables Visual (X) and Auditory (Y). The direction of the data points is upwards. Hence, we can say that there exists a positive linear relationship between the variables.