## Question

###### 145. (5 points) Generate pairs (Ci, yi), 1 < i < 10 where Ti = 2 and yi = 1+ Zi, and the Zi are standard normal random variables: a) Verify that the slope of a linear model for y ~ x is close to 1 b) For each 2 , change the value Yi until the slope is < 0. This does not have to be done ecactly: A whole number value of the new yi is sufficuient: Is this always possible? What do you observe about the values that the new Yi must have? Can you explain this?

145. (5 points) Generate pairs (Ci, yi), 1 < i < 10 where Ti = 2 and yi = 1+ Zi, and the Zi are standard normal random variables: a) Verify that the slope of a linear model for y ~ x is close to 1 b) For each 2 , change the value Yi until the slope is < 0. This does not have to be done ecactly: A whole number value of the new yi is sufficuient: Is this always possible? What do you observe about the values that the new Yi must have? Can you explain this?

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