The table below lists the percentage P of women in state legislatures, where x is the number of years after 1993. Women in State Legislatures Year 1993 1997 2001 2005 2007 4 8. 12 14 P 20.5 21.6 22.4 22.7 23.5

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I really just need help getting started, if you could help me with the first 3 showing my what it'd look like on a graph that would be nice

The table below lists the percentage P of women in state legislatures, where x is the number of years after 1993.
Women in State Legislatures
Year
1993
1997
2001
2005
2007
4
8
12
14
20.5
21.6
22.4
22.7
23.5
Address each of the following questions in your Journal entry. Remember, neatness and organization are important.
1. Use desmos.com to do linear regression to find a function P, where P (x) is the percentage of women in state legislatures x
years after 1993. Round a to two decimal places and b to 1 decimal place. Write in the form P (x) = ax + b. Include a
DESMOS plot of the graph of P, as well as the original data points.
2. Use P to estimate the percentage in 2003. Explain your reasoning.
3. Use P to predict the first year that the percentage exceeds 25 percent. Explain your reasoning.
4. What is the value of r´ for the regression?
5. For which of the 5 years in the data table is the residual the largest?
6. Search for some statistics on women in state legislature in the US (for example, https://cawp.rutgers.edu/ ¤ .) Compare what
you find with predictions made by this linear regression model.
Transcribed Image Text:The table below lists the percentage P of women in state legislatures, where x is the number of years after 1993. Women in State Legislatures Year 1993 1997 2001 2005 2007 4 8 12 14 20.5 21.6 22.4 22.7 23.5 Address each of the following questions in your Journal entry. Remember, neatness and organization are important. 1. Use desmos.com to do linear regression to find a function P, where P (x) is the percentage of women in state legislatures x years after 1993. Round a to two decimal places and b to 1 decimal place. Write in the form P (x) = ax + b. Include a DESMOS plot of the graph of P, as well as the original data points. 2. Use P to estimate the percentage in 2003. Explain your reasoning. 3. Use P to predict the first year that the percentage exceeds 25 percent. Explain your reasoning. 4. What is the value of r´ for the regression? 5. For which of the 5 years in the data table is the residual the largest? 6. Search for some statistics on women in state legislature in the US (for example, https://cawp.rutgers.edu/ ¤ .) Compare what you find with predictions made by this linear regression model.
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