Conversing with the hearing impaired. A study was conducted to investigate how people with a hearing impairment communicate with their conversational partners. ( Journal of the Academy of Rehabilitative Audiology , Vol. 27, 1994). Each of 13 hearing-impaired subjects, all fitted with a cochlear implant, participated in a structured communication interaction with a familiar conversational partner (a family member) and with an unfamiliar conversational partner
Subject | Words with Familiar Partner x | Words with Unfamiliar Partner y |
1 | 65 | 47 |
2 | 160 | 78 |
3 | 55 | 90 |
4 | 83 | 75 |
5 | 0 | 6 |
6 | 140 | 101 |
7 | 49 | 40 |
8 | 164 | 215 |
9 | 62 | 29 |
10 | 56 | 75 |
11 | 207 | 121 |
12 | 207 | 139 |
13 | 93 | 83 |
Based on Tye-Murray, N., et al. “Communication breakdowns: Partner contingencies and partner reactions.” Journal of the Academy of Rehabilitative Audiology , Vol. 27, 1994, pp. 116–117.
(who was instructed not to take the initiative to repair breakdowns in communication). The total number of words used by the subject in each of the two conversations is given in the accompanying table and saved in the HEARAID file.
a. Plot the data in a scatterplot. Is there visual evidence of a linear relationship between x and y ? If so, is it positive or negative?
b. Propose a straight-line model relating y to x.
c. Use the method of least squares to find the estimates of β0 and β1.
d. Interpret the values of
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