Assuming that the regression equation for the relationship between IQ score and psychology exam score is Y' = 9+ 0.274X, what would you expect the psychology exam scores to be for the following individuals given their IQ exam scores?
Individual
Tim
Tom
Tina
Tory
IQ Score (X)
Tim's IQ Score (X) = 118
Tom's IQ Score (X) = 98
Tina's IQ Score (X) = 107
Tory's IQ Score (X) = 103
Psychology Exam Score (Y)
Tim =
Tom =
Tina =
Tory =
Substitute each score for X in the regression equation and solve for predicted y (Y').
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Tim= 41
Tom=36
Tina= 38
Tory =37
Y'=9+0.274(118)
Y'=41.332
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6 months. The mean number of cavities at their next check up is 1.5 in the general population the mean # of cavities after a 6 month check up is 1.73 (@-1.12). Is this a 1 or 2 tailed test
To find the expected psychology exam scores for each individual, you can plug in their IQ scores into the regression equation Y' = 9 + 0.274X.
Let's calculate the expected psychology exam scores for each individual:
1. Tim's IQ Score (X) = 118
Tim's expected psychology exam score (Y') = 9 + 0.274(118)
Tim's expected psychology exam score = 9 + 32.332 = 41.332
2. Tom's IQ Score (X) = 98
Tom's expected psychology exam score (Y') = 9 + 0.274(98)
Tom's expected psychology exam score = 9 + 26.852 = 35.852
3. Tina's IQ Score (X) = 107
Tina's expected psychology exam score (Y') = 9 + 0.274(107)
Tina's expected psychology exam score = 9 + 29.318 = 38.318
4. Tory's IQ Score (X) = 103
Tory's expected psychology exam score (Y') = 9 + 0.274(103)
Tory's expected psychology exam score = 9 + 28.322 = 37.322
Therefore, the expected psychology exam scores for the individuals are:
- Tim: 41.332
- Tom: 35.852
- Tina: 38.318
- Tory: 37.322