In the following study question: A bill amendment, passed in the U.S. Senate by

Question

In the following study question:

A bill amendment, passed in the U.S. Senate by a vote of 62-38 (all 100 senators were present), was designed to reduce the requirements of car maufacturers to make vehicles more fule-efficient. A political question of interest is whether there is evidence of monetary influence on a senators' vote. One predictor variable was the monetary contribution from car manufacturers to senators' campaign funds; the other was an indicator variable of whether the senator was a Democrat. Because some senators receied $0 in contributions, 1 was added to contributions before taking the natural log.

Model:

Using the summar output below for the model predict the change in log(1+Contribution) needed to double the odds of a yes vote for Democrats:

Coefficients:

Also, suppose we plot the fitted values from the Model on the x-axis of log(1+Contribution) adn the y-axis logit P(Yes). What would the plot look like: a single straight line, two s-shaped curves in the same or opposite directions, parallel or crossed lines, or something else? Explain why.

Can you assist? Thank you.

Estimate Std. Error z value Pr(>|z|) (Intercept) -6.8402 2.4903 -2.747 0.006020** LogContr 2.1659 0.6131 3.533 0.000411*** Dem -1.7328 0.5804 -2.985 0.002833**

Explanation / Answer

As it is logit model so it has S-shaped curve

This is the standard cumulative disgribution of ogisitc regression

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