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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

  1. In statistics, what does it mean when you say that you have a significant correlation?
  2. In statistics, what does it mean when you say that you have homoscedastic data?
  3. 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?
  4. If she obtained an r=.74 (HINT!!!: check your answer from the last computation), is this a significant correlation?
  5. What is the slope of your regression line (b)?
  6. What is your value of the y intercept (a)?
  7. What is the formula for your regression line?
  8. In the format (X,Y) please tell me the coordinates for any point on this regression line.
  9. If a child spent 17 hours a week in daycare, what attachment level would you predict?
  10. 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?
  11. 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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