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The salary of a high school teacher typically increases as they have more experience. Below is a list of teacher salaries for one district based on their years of experience.  \n\n| Years taught\u003Cbr>􀝐 | 0 | 4 | 10 | 15 | 25 | 30 |\n| --- | --- | --- | --- | --- | --- | --- |\n| Annual Salary 􀜵 | $53,300 | $61,500 | $68,800 | $72,150 | $77,600 | $79,900 |\n\na. Find a linear regression curve. Round to three decimal places.  \n􀜵ሺ􀝐ሻ ൌ 822.826􀝔 ൅ 57355.435  \nb. Use your model from part 􀜽 to find the error at 􀝐 ൌ 4.  \n􀜵ሺ4ሻ ൌ 60,646 .739  \n60,646 .739 െ 61,500 ൌ  \nെ853.261  \nc. Is the value predicted an overestimate or underestimate of the actual value?  \nUnderestimate  \n2. The altitude of the Sun is simply a measurement of how high it appears above the horizon, in terms of an angular measurement. On Halloween, Mr. Bean does his best to measure the sun’s altitude throughout the day. The measurements in hours ℎ since sunrise and the angle 􀜽 in degrees are given below.  \n\n| Hours ℎ\u003Cbr>since sunrise\u003Cbr>(input) | 0.5 | 3 | 7 | 10 | 11 |\n| --- | --- | --- | --- | --- | --- |\n| Altitude 􀜽 in degrees\u003Cbr>(output) | 6 | 32 | 41 | 12 | 0 |\n\na. Find a quadratic regression curve. Round to three decimal places.  \n􀜽ሺℎሻ ൌ െ 1.458ℎଶ ൅ 16.164ℎ െ 2.195  \nb. Use your model from part 􀜽 to find the error at ℎ ൌ 10.  \n􀜽ሺ10ሻ ൌ 13.645  \n13.645 െ 12 ൌ  \n1.645  \nc. Is the value predicted an overestimate or underestimate of the actual value?  \nOverestimate  \n© The Algebros [from FlippedMath.com](from FlippedMath.com)  \n3. A student creates a model for a data set. Which of the following could be an appropriate residual plot for their linear regression? More than one answer may apply.  \nI. II.  \nIII.  \n4. A student creates a model for a data set. Which of the following could be an appropriate residual plot for their quadratic regression? More than one answer may apply.  \nI.  \nIII.  \n© The Algebros [from FlippedMath.com](from FlippedMath.com)  \n5. A student creates a model for a data set. Which of the following could be an appropriate residual plot for their exponential regression? More than one answer may apply.  \nII.  \nIV.  \n6. Students from an AP Precalculus class were brought to the gym to shoot free throws, but only the students with littleto-no basketball experience were allowed to shoot. Each student was given 60 seconds to shoot as many free throws as possible. A regression model was calculated with the student’s height (in inches) as input values and the number of shots made as the output values. The residual plot for the regression model and data points is below.  \na. The given residual plot has a point labeled 􀜲 at the coordinate ሺ62, 4.7ሻ . What does point 􀜲 indicate in the context?  \nBecause point 􀜲 is above the 􀝔-axis, for the student with a height of 62 inches, the model underestimates the actual number of shots made by 4.7.  \nb. The point labeled 􀜳 is at the coordinate ሺ74, െ2.4ሻ . What does point 􀜳 indicate in the context?  \nBecause point 􀜳 is below the 􀝔-axis, for the student with a height of 74 inches, the model overestimates the actual number of shots made by 2.4.  \n© The Algebros [from FlippedMath.com](from FlippedMath.com)  \n7. After getting a driver’s license, the reality of monthly insurance costs (premiums) sets in for many people. Insurance companies charge less for insurance the more years of experience a driver has. A local high school statistics class collects information from several insurance companies regarding their monthly insurance premiums. A regression model was calculated with the driver’s experience (in years) as input values and the monthly premiums (in dollars) asthe output values. The residual plot for the regression model and data points is below.  \na. The given residual plot has a point labeled 􀜲 at the coordinate ሺ6, െ102.5ሻ . What does point 􀜲 indicate in the context?  \nBecause point 􀜲 is below the 􀝔-axis, for the driver with 6 years of driving expe","cbCaikzGHbeYXp7B","https://ap.wps.com/l/cbCaikzGHbeYXp7B","pdf",438523,"English","# 2.6 Competing Function Model Validation\n## Linear, quadratic, and error interpretation\n## Choosing appropriate residual plots\n## Interpreting residual point context\n## Exponential regression evaluation","[{\"question\":\"How do you choose which residual plots match linear, quadratic, or exponential regression?\",\"answer\":\"Select the residual plots whose patterns are consistent with the expected behavior of each regression type; the problems note that more than one answer may apply.\"}]","2.6 Competing Function Model Validation - Practice | PDF"]