Bus and subway ridership for the summer months in London, England, is believed to be tied heavility to the number of tourists visiting the city. DUring the past 12 years, the data on the next page have been obtained.

Year (Summer Months) Number of Tourists (In Millions) Ridership In Millions)
1 7 1.5
2 2 1.0
3 0 1.3
4 4 1.5
5 14 2.5
6 15 14
7 16 24
8 12 2.0
9 14 10
10 20 4.4
11 15 3.4
12 7 1.7

Plot these data and decide if a linear model is reasonable.

Respuesta :

Answer:

The data can be represented as a linear model.

Step-by-step explanation:

The data is provided for the Bus and subway ridership for the summer months in London, England for 12 years.

The data can be plotted as follows:

Step 1:

Mark the x-axis as the number of tourists and y-axis as the Ridership (in millions).

Step 2:

Take the scale as follows:

x-axis: 1 unit = 5 tourists

y-axis: 1 unit = 5 million

Step 3:

Plot the points corresponding to the x and y axis.

For example, for year 1 the point to marked is (7, 1.5), for year 2 the point to be marked is (2, 1) and so on.

The graph for the data is provided below.

A linear model is used to predict the values of the response variable based on one or more than one predictor variable.

The response and predictor variables has a straight line relationship.

In this case the response variable is Ridership and the predictor variable is the Number of tourists.

As the ridership value can be estimated from the number of tourists value the data can be represented as a linear model.

Ver imagen warylucknow

The data of number of tourists and ridership for the summer months in London, England is plotted, and these data represent the linear model.

Which model plot using the data table?

Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

  • Linear model-The highest power of unknown variable in linear model is 1.To construct the linear model with the values given in the table, the slope of the two lines should be equal.
  • Quadratic model-The highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of quadratic equation must satisfy for all the of the data table.

Bus and subway ridership for the summer months in London, England, is believed to be tied heavily to the number of tourists visiting the city.

During the past 12 years, the data on the next page have been obtained.

Year (Summer Months)                1,  2,  3,  4,   5,   6,   7,  8,   9,  10,   11,   12

Number of Tourists (In Millions) 7,  2, 0,  4,   14,  12, 16, 12, 14,  20,  15,    7

Ridership In (Millions)                 1.5, 1, 1.3, 1.5, 2.5, 14,24, 2, 10, 4.4, 3.4, 1.7

Let x-axis represent the Number of Tourists (In Millions) and y-axis represent the  Ridership In (Millions). For this case, the data is plotted in the attached image below.

For the data, the value of ridership can be calculated with the value of number of tourists. Thus, this data represents the linear model relationship.

Hence, the data of number of tourists and ridership for the summer months in London, England is plotted, and these data represent the linear model.

Learn more about the data table here;

https://brainly.com/question/15602982

Ver imagen bhoopendrasisodiya34