Free Printable Chapter 12

1.

Population regression line is as follows:

\mu=\beta_0+\beta_1x

what do each part represent?
check all that apply

a)

$\mu_y\$ is the mean y-value for a given value of x

b)

$\beta_0$ is the estimated sample y intercept

c)

$\beta_0$ is the population y intercept

d)

$\beta_1$ is the population slope

e)

$\beta_1$ is the sample slope

2.

Sample Regression line is as follows:

$ŷ=b_0+b_1x$ what does each part represent?

a)

ŷ is the estimated mean y-value for a given value of x

b)

$b_0$ is the population y intercept

c)

$b_0$ is the sample y intercept

d)

$b_1$ is the population slope

e)

$b_1$ is the sample slope

3.

What all applies to sampling distribution of a slope?

a)

The mean of a sampling distribution of $b_1\ is\ \mu_{b_1}=\beta_1$

b)

Standard deviation of $b_1is\ \sigma_{b_1}=\frac{\sigma_x}{\sigma\cdot\sqrt{n}}$

c)

$b_1\ is\ \sigma_{b_1}=\frac{\sigma}{\sigma_x\cdot\sqrt{n}}$ Standard deviation of

d)

10% condition n<0.10N

e)

$b_1$ is not approximately Normal

4.

Which of the following is not a condition for regression inference?

a)

Linear: the actual relationship between x and y is linear

b)

Independent: individual observations are independent of each other

c)

Normal: for any fixed value of x, the response y does not vary according to a Normal distribution

d)

Equal SD: the standard deviation of y is the same for all value of x

e)

Random: the data comes from a random sample from the population of interest or a randomized experiment

5.

From

$b_1\pm t*SE_{b_1}$ (t interval for slope) what is the degrees of freedom?

a)

df= n-1

b)

df=n

c)

df=n-2

d)

df=n-3

6.

What is the t test for the slope formula?

a)

t=\frac{b_1-hypthesized\ slope}{SE_{b_1}}

b)

$t=\frac{hypothesized\ slope\ -b_1}{SE_{b1}}$

7.

Which of the following is an option for transforming a power model to become linearized?

a)

Raise the values of the explanatory variable x to the power p, then look at the graph of $\left(x^p,y\right)$

b)

Take the pth root of the values of the explanatory variable x, then look at the graph of $\left(n\sqrt{x},y\right)$

8.

Another option to linearize a plot would be with logarithms so look at the graph then of ___?

a)

log x verus y

b)

log y versus log x

c)

y versus log x

d)

log y versus x

Chapter 12

Total questions: 8

Worksheet time: 6mins

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