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

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Which statement about this regression is correct?

To answer the question of how many hours a man should be active to maintain a weightof170pounds,usean 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 interpolation and extrapolation value.

To answer the question of how many hours a man should be active to maintain a weightof170pounds,usethe regression'scoefficient of determination.

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 2 of 12

Question2

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Which statement about this regression is correct?

The correlation is not strong enough. More data or a new approach is needed.

Dataisnot close enough to the regression line, so no conclusion can be made.

There are too many outliers. No conclusion can be made before the outliers are removed.

There is a strong correlation between the number of hours active per day and a man's weight.

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, 22) 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 0.03 x right parenthesis and r squared equals 0.72] 2018 WGU, Powered by GeoGebra

Question 3 of 12

Question3

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Which statement is true about this regression?

By(65,22.2)on the function,itcanbeestimatedthat the town's population was approximately22,200in 1965. This is an extrapolation.

By(65,22.2)on the function,itcanbeestimatedthat the town's population was approximately22,200in 1965. This is an interpolation.

A linear regression should be used beforedrawingany conclusion.

Investigate the possible outlier before drawing any conclusion.

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 4 of 12

Question4

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Based on this model, whatisthe weight of a man who is active 7 hours per day?

Byf(7)138f(7)138, a man who is active 7 hours per day would weigh approximately 138 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)151f(7)151, a man who is active 7 hours per day would weigh approximately 151 pounds.

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.

[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 (0, 13) and (4, 5). The points plotted on the line are as follows: (0.5, 12), (1, 10.9), and (1.5, 10). The equation near the line reads: f of x equals negative 2 times x plus 12.83 and r squared equals 0.92.] 2018 WGU, Powered by GeoGebra

Question 5 of 12

Question5

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Which statement is true about this regression?

A polynomial regression should be used before a good conclusion is made.

The coefficient of determination is very high.It can beconcludedthat the more a person uses a smartphone, the less likely that the person is depressed.

More data is needed before any trustworthy conclusions can be made.

An exponential regression should be used before a good conclusion is made.

Which statement is true about the following regression?

[The graph plots Number of Episodes on the horizontal axis and Number of Viewers in Thousands on the vertical axis. A wave-like curve falls from the second quadrant, then passes through the points (0, 10.8), (4.4, 1.6), (13.1, 10.4), and then falls through the fourth quadrant. A series of data points closely follows the curve and the equation near the curve reads: h of x equals negative 0.02398 times x cubed plus 0.6545 times x squared minus 4.5156 times x plus 10.93655, and r squared equals 0.96.] 2018 WGU, Powered by GeoGebra

Question 6 of 12

Question6

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Byh(16)8h(16)8, there will be approximately 8 thousand viewers for Episode 16.

A logistic function should be used to model the data.

A second-degree polynomial function should be used to model the data.

Byh(19)3h(19)3, no viewers would watch Episode 19.

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 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.

Which statement is true about this regression?

A logistic regression should be used instead of a linearregression.

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.

By the very good coefficient of determination, a linear model fits the scenario.

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?

There are fewer than 30 data points, so no trustworthy conclusions can be drawn.

Byf(3)=2f(3)=2,itcanbeestimatedthat the town's population was approximately2,000in 1897. This is an interpolation.

Althoughf(3)=2f(3)=2,no conclusions can be drawnbecausethex-value cannot be negative in this context.

Byf(3)=2f(3)=2,itcanbeestimatedthat the town's population was approximately2,000in 1897. This is an extrapolation.

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 9 of 12

Question9

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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 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 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 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 interpolation.

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), (3, 3.6), (7, 4), and (11, 4.4). A series of data points closely follow the line. The equation near the line reads: f of x equals 0.1 times x plus 3.32 and r squared equals 0.66.] 2018 WGU, Powered by GeoGebra

Question 10 of 12

Question10

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Which statement is true about this regression?

Removing data for 2003 and 2008 would not change the regression function.

Removing data for 2003 and 2008 would not improve the coefficient of determination.

Data for 2003 and 2008 should not be removed from the data set. Otherwise,itisnot fair.

If data points for 2003 and 2008 were lower than usual due to two recessions, they should be removed to make more trustworthyinterpolationsor extrapolations.

The following scatterplot, with an exponential regression, models acity'spopulation 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 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?

There are fewer than 30 data points, so no trustworthy conclusion can be made.

Althoughf(100)124f(100)124,the result should not be trusted.

Byf(100)124f(100)124,itcanbeestimatedthat the city had approximately124,000residents in 2000. This is an extrapolation.

Byf(100)124f(100)124,itcanbeestimatedthat the city had approximately124,000residents in 2000. This is an interpolation.

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 12 of 12

Question12

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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.

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.

Byh(1,500)1,884h(1,500)1,884, the monthly rent for a1,500-square-foot house is approximately $1,884.