# Chapter 1. Conditions for Regression Inference

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1:32

### Question 1.1

Correct. µY = α + βX is the theoretical model and the values for y-intercept and slope that we compute from the data are only estimates (statistics) of the parameters α and β, respectively, but not their actual values.
Incorrect. µY = α + βX is the theoretical model and the values for y-intercept and slope that we compute from the data are only estimates (statistics) of the parameters α and β, respectively, but not their actual values.
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2:32

### Question 1.2

5tJx8gKj4xmh3608n347FDhdUNnH4Bm5hMFcpGN9RSOHhXXMJ1POhVVc+UPwtayXqbHU8Sz8M5K1t4JNzVA7cETXrNSID1TFl9pdGdVs04GrlqvfFNJ/hE0M2q34F2haZUrmcpkXjgzHq/xbwRpGA4NJRGAOGUwE7Rlf67wAXzS34t6wDvEFJ4aHCQO2Y47CUO4U9Yzg0Hy387m8HZfHtY9+q4tr2pOpN6/vD2CSk7btVArF
Correct. This is a true statement. The variability of the y’s is measured by σ.
Incorrect. This is a true statement. The variability of the y’s is measured by σ.
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3:25

### Question 1.3

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Correct. This is a true statement.
Incorrect. This is a true statement.
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3:48

### Question 1.4

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Correct. The opposite is true. For inference to be valid in regression the y’s at one x value must NOT affect the y values at any other x value.
Incorrect. The opposite is true. For inference to be valid in regression the y’s at one x value must NOT affect the y values at any other x value.
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6:59

### Question 1.5

Correct. A least squares line should only be used to model the relationship between X and Y when that relationship is linear.
Incorrect. A least squares line should only be used to model the relationship between X and Y when that relationship is linear.
2
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7:26

### Question 1.6

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Correct. When the scatter of the points about the line is the same for all x values, standard deviation is constant. However, when the scatter is not the same, but continues to increase (or vice versa), standard deviation is not constant.
Incorrect. When the scatter of the points about the line is the same for all x values, standard deviation is constant. However, when the scatter is not the same, but continues to increase (or vice versa), standard deviation is not constant.
2
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7:46

### Question 1.7

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Correct. Typically, t procedures are robust with respect to Normality provided the data are not strongly skewed and have no outliers. In regression the plot used to check for outliers is a plot of the residuals.
Incorrect. Typically, t procedures are robust with respect to Normality provided the data are not strongly skewed and have no outliers. In regression the plot used to check for outliers is a plot of the residuals.
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