the data below show the percentage of students who use public transportation to commute to school. a. scatter plot the data with excel or a graphing calculator and then use linear regression to model the data. write your model the coefficients to two decimal places and define all variables. b. what does your model predict the percentage will be in 2004? c. what does your model estimate the percentage was in 2010? d. what is the y-intercept of your model?  interpret it in the context of the problem using the correct unit. year          x.years after 2000   % use public trans 2000              0                                20.1

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the data below show the percentage of students who use public transportation to commute to school.

a. scatter plot the data with excel or a graphing calculator and then use linear regression to model the data. write your model the coefficients to two decimal places and define all variables.

b. what does your model predict the percentage will be in 2004?

c. what does your model estimate the percentage was in 2010?

d. what is the y-intercept of your model?  interpret it in the context of the problem using the correct unit.

year          x.years after 2000   % use public trans

2000              0                                20.1

2002                                                 19.2

2004                                                 18.8

2006                                                  17.5

2008                                                   1.7

2010                                                    15.8

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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post that parts separately.

a.

Given data table is,

year x % use public trans, y
2000 0 20.1
2002 1 19.2
2004 2 18.8
2006 3 17.5
2008 4 1.7
2010 5 15.8

Scatter plot:

Steps to construct scatter plot in Excel:

 

  • Enter the data for x and y in Excel sheet
  • Select the columns of x and y
  • Go to Insert menu.
  • Click on “Insert scatter or bubble chart” option.
  • Select Scatter under Charts.
  • Under chart elements, check Trend line as linear.

 

Excel Output:

 

The scatter plot is,

Statistics homework question answer, step 1, image 1

From the scatter plot, y=20.90-2.15x

 

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