For the fleet described in Exercise 2.48,

b. Construct a cross-tabulation describing the fleet, using type of transmission and whether the vehicle has air conditioning as the categorization variables.

Using the frequency distribution in Exercise 2.3, identify the following for the 25 -under 35 class:

(b) upper and lower limits

Using the frequency distribution in Exercise 2.3, identify the following for the 25 -under 35 class:

(a) frequency

For the flect described in Exercise 2.48,

For the flect described in Exercise 2.48,

b. Construct a cross-tabulation describing the fleet, using type of engine and whether the vehicle has air conditioning as the categorization variables.

For the flect described in Exercise 2.48,

a. Construct a simple tabulation in which the counts are according to the type of engine.

The 30 vehicles operated by a taxi service have been listed according to their engine ( $1=$ diesel, $2=$ gasoline), transmission ( $1=$ manual, $2=$ automatic), and whether they have air conditioning ( $1=$ no air conditioning, $2=$ air conditioning). These characteristics, along with the miles per gallon (mpg) achieved by each vehicle during the past month, are listed here. The data are also provided in file XR02048.

$$\begin{array}{cccccccc} \text { Engine } & \text { Trans } & \text { AC } & \text { mpg } & \text { Engine } & \text { Trans } & \text { AC } & \mathbf{m p g} \\ \hline 1 & 1 & 1 & 36.4 & 1 & 1 & 2 & 38.6 \\ 1 & 1 & 1 & 37.7 & 1 & 1 & 2 & 34.8 \\ 1 & 1 & 1 & 38.2 & 1 & 2 & 2 & 30.8 \\ 1 & 1 & 1 & 41.8 & 1 & 2 & 2 & 26.4 \\ 1 & 1 & 1 & 34.8 & 1 & 2 & 2 & 31.6 \\ 1 & 2 & 1 & 35.4 & 1 & 2 & 2 & 28.3 \\ 1 & 2 & 1 & 31.3 & 1 & 2 & 2 & 29.5 \\ 1 & 2 & 1 & 32.2 & 2 & 1 & 2 & 23.0 \\ 2 & 1 & 1 & 26.2 & 2 & 1 & 2 & 21.5 \\ 2 & 1 & 1 & 25.5 & 2 & 1 & 2 & 19.5 \\ 2 & 1 & 1 & 27.7 & 2 & 2 & 2 & 18.3 \\ 2 & 2 & 1 & 22.0 & 2 & 2 & 2 & 19.1 \\ 2 & 2 & 1 & 23.3 & 2 & 2 & 2 & 20.8 \\ 1 & 1 & 2 & 34.8 & 2 & 2 & 2 & 21.8 \\ 1 & 1 & 2 & 34.0 & 2 & 2 & 2 & 18.4 \end{array}$$

The 30 vehicles operated by a taxi service have been listed according to their engine ( $1=$ diesel, $2=$ gasoline), transmission ( $1=$ manual, $2=$ automatic), and whether they have air conditioning ( $1=$ no air conditioning, $2=$ air conditioning). These characteristics, along with the miles per gallon (mpg) achieved by each vehicle during the past month, are listed here. The data are also provided in file XR02048.

$$\begin{array}{cccccccc} \text { Engine } & \text { Trans } & \text { AC } & \text { mpg } & \text { Engine } & \text { Trans } & \text { AC } & \mathbf{m p g} \\ \hline 1 & 1 & 1 & 36.4 & 1 & 1 & 2 & 38.6 \\ 1 & 1 & 1 & 37.7 & 1 & 1 & 2 & 34.8 \\ 1 & 1 & 1 & 38.2 & 1 & 2 & 2 & 30.8 \\ 1 & 1 & 1 & 41.8 & 1 & 2 & 2 & 26.4 \\ 1 & 1 & 1 & 34.8 & 1 & 2 & 2 & 31.6 \\ 1 & 2 & 1 & 35.4 & 1 & 2 & 2 & 28.3 \\ 1 & 2 & 1 & 31.3 & 1 & 2 & 2 & 29.5 \\ 1 & 2 & 1 & 32.2 & 2 & 1 & 2 & 23.0 \\ 2 & 1 & 1 & 26.2 & 2 & 1 & 2 & 21.5 \\ 2 & 1 & 1 & 25.5 & 2 & 1 & 2 & 19.5 \\ 2 & 1 & 1 & 27.7 & 2 & 2 & 2 & 18.3 \\ 2 & 2 & 1 & 22.0 & 2 & 2 & 2 & 19.1 \\ 2 & 2 & 1 & 23.3 & 2 & 2 & 2 & 20.8 \\ 1 & 1 & 2 & 34.8 & 2 & 2 & 2 & 21.8 \\ 1 & 1 & 2 & 34.0 & 2 & 2 & 2 & 18.4 \end{array}$$

b. Construct a cross-tabulation describing the fleet, using type of engine and type of transmission as the categorization variables.

The 30 vehicles operated by a taxi service have been listed according to their engine ( $1=$ diesel, $2=$ gasoline), transmission ( $1=$ manual, $2=$ automatic), and whether they have air conditioning ( $1=$ no air conditioning, $2=$ air conditioning). These characteristics, along with the miles per gallon (mpg) achieved by each vehicle during the past month, are listed here. The data are also provided in file XR02048.

$$\begin{array}{cccccccc} \text { Engine } & \text { Trans } & \text { AC } & \text { mpg } & \text { Engine } & \text { Trans } & \text { AC } & \mathbf{m p g} \\ \hline 1 & 1 & 1 & 36.4 & 1 & 1 & 2 & 38.6 \\ 1 & 1 & 1 & 37.7 & 1 & 1 & 2 & 34.8 \\ 1 & 1 & 1 & 38.2 & 1 & 2 & 2 & 30.8 \\ 1 & 1 & 1 & 41.8 & 1 & 2 & 2 & 26.4 \\ 1 & 1 & 1 & 34.8 & 1 & 2 & 2 & 31.6 \\ 1 & 2 & 1 & 35.4 & 1 & 2 & 2 & 28.3 \\ 1 & 2 & 1 & 31.3 & 1 & 2 & 2 & 29.5 \\ 1 & 2 & 1 & 32.2 & 2 & 1 & 2 & 23.0 \\ 2 & 1 & 1 & 26.2 & 2 & 1 & 2 & 21.5 \\ 2 & 1 & 1 & 25.5 & 2 & 1 & 2 & 19.5 \\ 2 & 1 & 1 & 27.7 & 2 & 2 & 2 & 18.3 \\ 2 & 2 & 1 & 22.0 & 2 & 2 & 2 & 19.1 \\ 2 & 2 & 1 & 23.3 & 2 & 2 & 2 & 20.8 \\ 1 & 1 & 2 & 34.8 & 2 & 2 & 2 & 21.8 \\ 1 & 1 & 2 & 34.0 & 2 & 2 & 2 & 18.4 \end{array}$$

a. Construct a simple tabulation in which the counts are according to the type of engine.

Differentiate between simple tabulation and crosstabulation, and give a real or hypotherical example of each. Note; Exercises 2.48-2.50 can be done by hand, but computer statistical software is preferable, if available.

When variables are used as the basis for a contingency table, what scale of measurement must they represent?

A rental management executive has collected data on square footage and monthly rental fee for 80 apartments in her city. The data are in file XR02045. Considering square footage as the independent variable and monthly rental fee as the dependent variable:

d. Viewing the scatter diagram and equation in part (a), do you think there are any apartments that seem to have an unusully high or an unully low rental fee compared to what would be predicted for an apartment of their size? Are there any variables that are not included in the data that might help explain such a differential? If so, what might they be?

A rental management executive has collected data on square footage and monthly rental fee for 80 apartments in her city. The data are in file XR02045. Considering square footage as the independent variable and monthly rental fee as the dependent variable:

c. Interpret the slope of the equation generated in part (a).

A rental management executive has collected data on square footage and monthly rental fee for 80 apartments in her city. The data are in file XR02045. Considering square footage as the independent variable and monthly rental fee as the dependent variable:

b. Does there appear to be any relationship between the variables? If so, is the relationship direct or inverse?