The city wants to further develop the model to include the weather conditions of rainy, cloudy, or sunny.Ice Rink AttendanceTemperature (°F)Weather Condition14045Sunny11040Cloudy13550Cloudy12040Cloudy16545Sunny18045Sunny21050Sunny19045Cloudy17040Cloudy13045Rainy14045Cloudy8035Rainy12045Cloudy10045RainyWhat is the regression equation? Use the equation to forecast ice rink attendance if the temperature is 38°F and sunny. Should you keep weather condition in the model?

Question
Asked Feb 21, 2019
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  1. The city wants to further develop the model to include the weather conditions of rainy, cloudy, or sunny.

Ice Rink Attendance

Temperature (°F)

Weather Condition

140

45

Sunny

110

40

Cloudy

135

50

Cloudy

120

40

Cloudy

165

45

Sunny

180

45

Sunny

210

50

Sunny

190

45

Cloudy

170

40

Cloudy

130

45

Rainy

140

45

Cloudy

80

35

Rainy

120

45

Cloudy

100

45

Rainy

  1. What is the regression equation? 
  2. Use the equation to forecast ice rink attendance if the temperature is 38°F and sunny. 
  3. Should you keep weather condition in the model? 

 

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Expert Answer

Step 1

Introduction to linear regression analysis:

Regression analysis is a collection of statistical procedures used to estimate the relationship among variables.

Suppose one variable is thought to be dependent on one or more other variables. Then, statistical methods can be used to form a model of this dependent variable, often called the response variable, on the independent variables, known as regressors or predictors. This procedure is called regression analysis.

Step 2

Indicator variable:

An indicator or a dummy variable is created for using a qualitative predictor variable in a regression model, which assigns a unique number to indicate each value or category of the qualitative predictor variable. If there are k categories, then (k – 1) indicator variables are required.

Step 3

The given data:

In this study, the ice rink attendance is the response variable, which depends upon temperature and weather condition.

Here, the weather condition is a categorical variable, having 3 categories- sunny, cloudy and rainy. As a result, 2 indicator variables must be used to model the weather conditi...

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