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I. Histograms

For each variable, provide a histogram that summarizes its distribution. Make sure each histogram has a title and that both chart axes have labels.

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just answers these question based on the project make the answers short as can as you could QUALITATIVE.  These are intentionally open-ended.  In "real life" an interviewer would be mostly looking 2

just answers these question based on the project make the answers short as can as you could QUALITATIVE.  These are intentionally open-ended.  In "real life" an interviewer would be mostly looking 3

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II. Simple Regression Analysis

In this section, you will report results from performing SIMPLE regression with each of your independent variables.
Estimated Regression Parameters and R-squared. Please report the regression parameters and R-squared values found via simple regression. Provide UNITS with your regression coefficients.

Independent Variable Name

R-squared

(y-intercept)

(slope)

State Majority (after 2012 elections)

0.616858

0.222222

0.777778

Clinton votes percentage

0.540414

1.924159

-0.02999

Electoral College Votes

0.001831

0.602996

-0.00218


Residual Plots. For each simple regression model, provide a residual plot showing e (the residual error) versus x. Make sure each plot has a title and that both axes have labels.

Inference. Populate the following table using a confidence level of 99%.

Independent Variable Name

p-value for

p-value for

Is relationship significant at 99% confidence level? (Y/N)

Confidence Interval (Lower, Upper)

Does inference appear to be valid? (Y/N)

State Majority (after 2012 elections)

0.000549

1.44E-11

Yes

0.540469

1.015087

Yes

Clinton (%age of votes won)

7.3E-14

1.21E-09

Yes

-0.0407

-0.01928

Yes

Electoral College Votes

6.45E-07

0.767965

No

-0.02186

0.017508

Yes

III. Multiple Regression Analysis

Next, you will perform a MULTIPLE regression using all of the independent variables together.

Correlation Table. Provide a table showing the correlation between your independent variables. This is important for knowing whether your model might suffer from multi-collinearity. Use a different cell color to indicate values that are greater than 0.5 in absolute value (positive or negative).

State Majority (after 2012 elections)

Clinton

Electoral College Votes

State Majority (after 2012 elections)

-0.7468

-0.19103

Clinton (%age of votes won)

-0.7468

0.25983

Electoral College Votes

-0.19103

0.25983

Estimated Regression Parameters and Confidence Intervals. Report the regression parameters found via multiple regression using the table below. Provide UNITS with your regression coefficients.

Parameter

Estimated Value

p-value

Significant at 99% confidence? (Y/N)

Confidence Interval
(Lower, Upper)

y-intercept

0.947624238

0.001043

Yes

0.220267561

1.674980915

State Majority (after 2012 elections)

0.527877739

0.000072912

Yes

0.202426659

0.853328818

Clinton (%age of votes won)

-0.015500733

0.003726174

Yes

-0.029129389

-0.001872077

Electoral College Votes

0.007982467

0.070869747

No

-0.003616981

0.019581915

Residual Plot. Provide a SINGLE residual plot showing e (the residual error) versus . Make sure each plot has a title and that each plot axis has a label.

Multiple Regression Summary. Answer the following questions:

  1. What is the Adjusted R-squared value for this model?

R2 = 0.691269241

  1. Does inference appear to be valid based on your residual plot?

Yes