Question: Module 24: Determining Validity Quiz Step 1 of 1 A company surveyed 32 male employees on their weight and the number of hours they were
Module 24: Determining Validity Quiz
Step 1 of 1
A company surveyed 32 male employees on their weight and the number of hours they were active every day. The following scatterplot has a linear model andcoefficient of determination.
[The graph plots Number of Hours Active per Day on the horizontal axis and Weight in Pounds on the vertical axis. A line passes through the points (0, 205), (4.4, 160), and (8.4, 0). A series of data points closely follows the curve and the equation near the curve reads f of x equals negative 9.6 times x plus 205.54 and r squared equals 0.76.] 2018 WGU, Powered by GeoGebra
Question 1 of 12
Question1
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement about this regression is correct?
To answer the question of how many hours a man should be active to maintain a weightof170pounds,usethe regression'scoefficient of determination.
To answer the question of how many hours a man should be active to maintain a weightof170pounds,usean interpolation and extrapolation value.
To answer the question of how many hours a man should be active to maintain a weightof 170pounds, use an interpolation value.
To answer the question of how many hours a man should be active to maintain a weightof170pounds,usean extrapolation value.
Correct! The numbery= 170is in the data range, so interpolationshould be usedto find the correspondingx-value.
The following scatterplot, with an exponential regression, models a city's population since 1900.
[The graph plots Number of Years since 1900 on the horizontal axis and Population in Thousands on the vertical axis. A curve rises with increasing steepness from the second quadrant, then passes through the points (0, 2.5), (65, 26) in the first quadrant. A series of data points closely follows the curve and the equation near the curve reads: f of x equals 2.38 times e to the power of left parenthesis 0.04 x right parenthesis and r squared equals 0.85.] 2018 WGU, Powered by GeoGebra
Question 2 of 12
Question2
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byf(66)31.95f(66)31.95,itcanbeestimatedthat the city had approximately31,950residents in 1966. This is an extrapolation.
Byf(66)33.1f(66)33.1,itcanbeestimatedthat the city had approximately33,100residents in 1966. This is an interpolation.
Byf(66)31.95f(66)31.95,itcanbeestimatedthat the city had approximately31,950residents in 1966. This is an interpolation.
Byf(66)33.1f(66)33.1,itcanbeestimatedthat the city had approximately33,100residents in 1966. This is an extrapolation.
Incorrect. An interpolation means estimating a value inside the data range.
The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with depression.
Two outliers were investigated and then removed.
[The graph plots Number of Hours Using Smartphone per Day on the horizontal axis and Percent of People with Depression on the vertical axis. A line passes through the points (1, 10) and (10, 26). A series of data points closely follows the line and the equation near the line reads: f of x equals 1.73 times x plus 8.34 and r squared equals 0.56.] 2018 WGU, Powered by GeoGebra
Question 3 of 12
Question3
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
By(10,25.8)on the regression function,itcanbeestimatedthat if a person uses a smartphone for10hours on average per day, there is a25.8%chance of having depression. This is an extrapolation.
By(10,25.8)on the regression function,itcanbeestimatedthat if a person uses a smartphone for10hours on average per day, there is a25.8%chance of having depression. This is an interpolation.
Once outliers are removed, the result is not trustworthy anymore.
With a coefficient of determination of 0.56, conclusions cannot be trusted.
Incorrect. Since this is a moderate fit, we can reasonably extrapolate tox= 10.
The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with depression.
Two outliers were investigated and then removed.
[The graph plots Number of Hours Using Smartphone per Day on the horizontal axis and Percent of People with Depression on the vertical axis. A line passes through the points (1, 10) and (10, 26). A series of data points closely follows the line and the equation near the line reads: f of x equals 1.73 times x plus 8.34 and r squared equals 0.56.] 2018 WGU, Powered by GeoGebra
Question 4 of 12
Question4
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byf(11)=26.37f(11)=26.37,itcanbeestimatedthat if a person uses a smartphone for11hours on average per day, there is a26.37%chance of having depression. This is an interpolation.
Byf(11)=27.37f(11)=27.37,itcanbeestimatedthat if a person uses a smartphone for11hours on average per day, there is a27.37%chance of having depression. This is an extrapolation.
Byf(11)=26.37f(11)=26.37,itcanbeestimatedthat if a person uses a smartphone for11hours on average per day, there is a26.37%chance of having depression. This is an extrapolation.
Byf(11)=27.37f(11)=27.37,itcanbeestimatedthat if a person uses a smartphone for11hours on average per day, there is a27.37%chance of having depression. This is an interpolation.
Correct!Substitutex= 11into the regression function andcalculate:f(x)=1.73x+8.34f(x)=1.73x+8.34, sof(11)=1.73(11)+8.34=27.37f(11)=1.73(11)+8.34=27.37.
The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with depression.
Two outliers were investigated and then removed.
[The graph plots Number of Hours Using Smartphone per Day on the horizontal axis and Percent of People with Depression on the vertical axis. A line passes through the points (1, 10) and (10, 26). A series of data points closely follows the line and the equation near the line reads: f of x equals 1.73 times x plus 8.34 and r squared equals 0.56.] 2018 WGU, Powered by GeoGebra
Question 5 of 12
Question5
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byf(24)=49.86f(24)=49.86,itcanbeestimatedthat if a person uses a smartphone for24hours on average per day, there is a 49.86% chance of having depression. This is an extrapolation.
Byf(24)=49.86f(24)=49.86,itcanbeestimatedthat if a person uses a smartphone for24hours on average per day, there is a 49.86% chance of having depression. This is an interpolation.
Althoughf(24)=49.86f(24)=49.86, this result cannot be used to make any conclusion.
A value likex= 24is too far away from the data range. A new regression needs to be done.
Incorrect. It is true that x=24 is too far away for accurate extrapolation. However, a new regression cannot change the fact that using a smartphone 24 hours per day is unreasonable.
Dobson Financial issues end-of-year bonuses every year. The bonus is a percentage of an employee's annual salary. The following scatterplot shows bonuses since 2000 with a linear regression.
[The graph plots Number of Years since 2000 on the horizontal axis and Bonus in Percent of Salary on the vertical axis. A line passes through the points (0, 3.4), (1, 3.6), and (2, 3.8). The equation near the line reads: f of x equals 0.2 times x plus 3.4 and r squared equals 1.] 2018 WGU, Powered by GeoGebra
Question 6 of 12
Question6
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
It isvery certain thata4% bonus was handed out in 2003.
Interpolations or extrapolationscannot be trustedbased on this model.
The functionf(x)=0.2x+3.4f(x)=0.2x+3.4can be used to accurately predict the amount of bonus in the next few years.
The coefficient of determinationis1, so this linear modelcan be usedto make goodinterpolationsor extrapolations.
Correct! Interpolations or extrapolations based on three data points are not trustworthy.
A company surveyed 32 male employees on their weight and the number of hours they were active every day. The following scatterplot has a linear model andcoefficient of determination.
[The graph plots Number of Hours Active per Day on the horizontal axis and Weight in Pounds on the vertical axis. A line passes through the points (0, 205), (4.4, 160), and (8.4, 0). A series of data points closely follows the curve and the equation near the curve reads: f of x equals negative 9.6 times x plus 205.54 and r squared equals 0.76.] 2018 WGU, Powered by GeoGebra
Question 7 of 12
Question7
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Based on this model, whatisthe weight of a man who is active 10 hours per day?
Byf(10)115f(10)115, a man who is active 10 hours per day would weigh approximately 115 pounds.
The regression line does not extendtox= 10, so there is no way to estimate the value.
Byf(10)110f(10)110, a man who isactive10 hours per day would weigh approximately 110 pounds.
Byf(10)102f(10)102, a man who is active 10 hours per day would weigh approximately 102 pounds.
Correct! Substitutex= 10into the regression function to calculate the extrapolation value.
The following scatterplot, with an exponential regression, models a city's population since 1900. The population in 1950 was adjusted because a drought caused an exodus of farmers, most of whom moved back a few years later.
[The graph plots Number of Years since 1900 on the horizontal axis and Population in Thousands on the vertical axis. A curve rises with increasing steepness from the second quadrant, then passes through the points (0, 2.5), (65, 26) in the first quadrant. A series of data points closely follows the curve and the equation near the curve reads: f of x equals 2.38 times e to the power of left parenthesis 0.04 x right parenthesis and r squared equals 0.85.] 2018 WGU, Powered by GeoGebra
Question 8 of 12
Question8
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byf(3)=2f(3)=2,itcanbeestimatedthat the town's population was approximately2,000in 1897. This is an interpolation.
Byf(3)=2f(3)=2,itcanbeestimatedthat the town's population was approximately2,000in 1897. This is an extrapolation.
There are fewer than 30 data points, so no trustworthy conclusions can be drawn.
Althoughf(3)=2f(3)=2,no conclusions can be drawnbecausethex-value cannot be negative in this context.
Incorrect.Whenx= 3, it implies the year 1897.
Mariamanages online game servers for a new game, which started on January 1. The server can host a maximum of6,500gamers every day. She collected 11 days of data and drew the following linear regression.
[The graph plots Number of Days since January 1 on the horizontal axis and Number of Gamers per Day on the vertical axis. A line passes through the points (6, 4000), and (12, 7200). A series of data points closely follows the line and the equation near the line reads: r squared equals 0.96 and f of x equals 537.85 times x plus 801.42.] 2018 WGU, Powered by GeoGebra
Question 9 of 12
Question9
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byf(15)=6,600f(15)=6,600, there would be approximately6,600gamers on January 15.
Byf(1)1,854f(1)1,854, there was approximately1,854gamers on December 31.
A logistic regression should be used instead of a linearregression.
By the very good coefficient of determination, a linear model fits the scenario.
Incorrect. The server has an upper limit, so a logistic model should be used. The data also looks like a logistic model.
A company surveyed 32 male employees on their weight and the number of hours they were active every day. The following scatterplot has a linear model andcoefficient of determination.
[The graph plots Number of Hours Active per Day on the horizontal axis and Weight in Pounds on the vertical axis. A line passes through the points (0, 205), (4.4, 160), and (8.4, 0). A series of data points closely follows the curve and the equation near the curve reads: f of x equals negative 9.6 times x plus 205.54 and r squared equals 0.76.] 2018 WGU, Powered by GeoGebra
Question 10 of 12
Question10
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Based on this model, whatisthe weight of a man who is active 7 hours per day?
Byf(7)151f(7)151, a man who is active 7 hours per day would weigh approximately 151 pounds.
Byf(7)160f(7)160, a man who is active 7 hours per day would weigh approximately 160 pounds.
Byf(7)132f(7)132, a man who is active 7 hours per day would weigh approximately 132 pounds.
Byf(7)138f(7)138, a man who is active 7 hours per day would weigh approximately 138 pounds.
Correct! Substitutex= 7into the regression function to calculate the interpolation value.
Jessica collected some monthly rent data in a local neighborhood to determine a reasonable price to rent a2000-squarefoot house. First, she made the following scatterplot and ran a linear regression.
[The graph plots Area in Square Feet on the horizontal axis and Rent in Dollars on the vertical axis. A line passes through the points (600, 680), (1000, 1200), and (1600, 2040). A series of data points closely follows the line and the equation near the line reads: h of x equals 1.35 times x minus 140.54.] 2018 WGU, Powered by GeoGebra
Question 11 of 12
Question11
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
Byh(3,000)3,909h(3,000)3,909, the monthly rent for a3,000-square-foot house is approximately $3,909.
Byh(1,500)1,884h(1,500)1,884, the monthly rent for a1,500-square-foot house is approximately $1,884.
A quadratic regression should be used instead of a linearregression.
Byh(200)129h(200)129, the monthly rent for a200-square-foot house is approximately $129.
Incorrect. The valuex= 3,000is too far away from the data range. This result should not be trusted. This is an extrapolation concern.
The following scatterplot, with a linear regression, shows the relationship between the number of hours using a smartphone per day and the percentageof people with depression.
Two outliers were investigated and then removed.
[The graph plots Number of Hours Using Smartphone per Day on the horizontal axis and Percent of People with Depression on the vertical axis. A line passes through the points (1, 10) and (10, 26). A series of data points closely follows the line and the equation near the line reads: f of x equals 1.73 times x plus 8.34 and r squared equals 0.56.] 2018 WGU, Powered by GeoGebra
Question 12 of 12
Question12
This is not a form; we suggest that you use the browse mode and read all parts of the question carefully.
Which statement is true about this regression?
By(5.25,17.5)on the regression function,itcanbeestimatedthat if a person uses a smartphone for5.25hours on average per day, there is a17.5%chance of having depression. This is an extrapolation.
By(5.25,17.5)on the regression function,itcanbeestimatedthat if a person uses a smartphone for17.5hours on average per day, there is a5.25%chance of having depression. This is an interpolation.
By(5.25,17.5)on the regression function,itcanbeestimatedthat if a person uses a smartphone for5.25hours on average per day, there is a17.5%chance of having depression. This is an interpolation.
By(5.25,17.5)on the regression function,itcanbeestimatedthat if a person uses a smartphone for17.5hours on average per day, there is a5.25%chance of having depression. This is an extrapolation.
Correct! Estimating values within the data range is called interpolation.
Return to CourseGo to Contents
Page navigation
2025 Acrobatiq
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
