30) The residual, or error, is: a The horizontal distance from the regression li

Question

30) The residual, or error, is:

a The horizontal distance from the regression line to each point

b The square of the horizontal distance from the regression line to each point

c The vertical distance from the regression line to each point

d The square of the vertical distance from the regression line to each point. 2 points

31) You run a linear regression and find that the confidence interval on the coefficient estimate is (-2.3, 2.8). What can you conclude?

a The coefficient is statistically significant; there is a evidence of a linear relationship between the two variables.

b The coefficient is not statistically significant; there is no evidence of a linear relationship between the two variables.

c There is a positive correlation between the two variables, but there is not enough information to determine if it satistically significant.

d There is a negative correlation between the two variables, but there is not enough information to determine if it satistically significant. 2 points

What is the residual error for the point x=2, y=4?

7

-2

1

-3

7

-2

1

-3

Explanation / Answer

30) The residual, or error, is:

Answer: The vertical distance from the regression line to each point

31) You run a linear regression and find that the confidence interval on the coefficient estimate is (-2.3, 2.8). What can you conclude?

Answer: The coefficient is statistically significant; there is a evidence of a linear relationship between the two variables.

32) Suppose you run a regression and get the following equation: Y hat = 3 + 2*X

What is the residual error for the point x=2, y=4

Y hat = 3 + 2*2 = 7

Y = 4

Residual = Y - Y hat = 4 - 7

= -3

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