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A child psychologist is interested children's attachment to day care workers. She records how many hours a week each of 9 children spend at daycare,
A child psychologist is interested children's attachment to day care workers. She records how many hours a week each of 9 children spend at daycare, and then gives them an attachment assessment. Assume that the attachment assessment is on a ratio scale. The following data were collected.
i | X: Number hours per week at daycare | Y: Attachment to daycare provider |
1 | 40 | 9 |
2 | 26 | 5 |
3 | 29 | 6 |
4 | 10 | 3 |
5 | 12 | 4 |
6 | 32 | 5 |
7 | 18 | 6 |
8 | 22 | 2 |
9 | 34 | 7 |
- In statistics, what does it mean when you say that you have a significant correlation?
- In statistics, what does it mean when you say that you have homoscedastic data?
- If she obtained an r=.74 (HINT!!!: check your answer from the last computation), what is the probability of obtaining this r value if there wasn't truly a correlation?
- If she obtained an r=.74 (HINT!!!: check your answer from the last computation), is this a significant correlation?
- What is the slope of your regression line (b)?
- What is your value of the y intercept (a)?
- What is the formula for your regression line?
- In the format (X,Y) please tell me the coordinates for any point on this regression line.
- If a child spent 17 hours a week in daycare, what attachment level would you predict?
- Suppose you know that the regression coefficients for the line that predicts a person's likelihood of being in a successful marriage based on the relationship that they had with their opposite gender parent are a=2.54 b= .76. What is the regression equation for this relationship?
- Given the regression equation, Y'= 1.05 X + .58, where Y is a score on a statistics final exam and X on their first exam in the class. What statistics final exam grade would you predict for a person who scored a 82 on their first exam? - Show your work
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