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frajcfruL ^Quiz 2 (Chapter 6.3 - 6.4) - Period 1

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Short AnswerClearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you willnot receive full marks, even if your answer is correct.

1. Determine the independent and dependent variables for the following relationship:

The speed of vehicles is related to the distance travelled in an hour.

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2. a) Use the graph below to describe the characteristics of the trend in the data displayed in the•graph,

'"fpeiAcfb) Use a ruler to help you estimate the slope for a line that best approximates the data in thescatter plot. (Show your calculations)

slops.

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Long Answer ProblemsClearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you willnot receive fall marlas, even if your answer is correct.

1. A Handsworth keeps track of the attendance at their home football home games in the table below.

rflnirmn 1 2 " 3 4 6 7Attendance 1230 1310 1405 1645 1865 2180

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pisa) Create a scatter plot, and draw a line of best fit for the data. Show a rough sketch ofyour , ^ ^graph from your graphing calculator or from EXCEL in the space below, ff-ffaflpl

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3. A research company summarized the average time spent every day by teenagers watching> television. _ia.-. i a 3 v g b 7 a iKJji ' Year 1999 2000 2001 2002 2003 2004 2005 2006Year 1999 2000 2001 2002 2003 2004 2005 2006

Time (min) 179 195 196 190 187 185 . 182 169

a) Create a scatter plot, and draw a curve of best fit for the data using quadratic regression.Show a rough sketch of your graph from your graphing calculator or Jrom EXCEL in the space

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b) Use your, graph to determine and state the equation for the quadratic function that best models

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c) Use your graph to estimate the average amount of time spent watching television in 2008. /

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b) Estimate the change in the depth of water from 14:00 to 16:00. Show your work.

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Name:

Quiz 2 ^Chapter 6.3 - 6.4) - Period 2

J Period: Date:

Clearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you willnot receive full marks, even if your answer is correct

Short Answer

1. Determine the independent and dependent variables for the following relationship:

The number of days is related to the height of a pea plant.

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2. a) Use the graph below to describe the characteristics of the trend in the data displayed in the graph.

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b) Use a ruler to help you estimate the slope for a line that best approximates the data in the scatterplot.

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Long Answer ProblemsClearly communicate all your thinking and show ALL the work,not receive full marks, even if your answer is correct.

If your work is unclear or steps are missing, you will

1. The Handsworth soccer coach want to know the relationship between the number of shots his teamtakes during a game and the number of goals they score. He collected the following data from thelast few games.

' Shots 18 14 8 21 15 10 25 18Goals. 2 1 0 .. 3 2 0 4 3

a) Create a scatter plot, and draw a line of best fit for the data. Show a rough sketch of yourgraph from your graphing calculator or from EXCEL in the space below. j

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b) Use your graph to determine and state the equation for the function that best models this data.

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c) Use you{ graph to estimate the number of shots required to score 2 goals.

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2. A statistician determined that the wanning times in the women's 200 m Olympic sprint can be .modelled by the regression equation

T= 22.249 -0.034ywhere 7 represent the winning time in seconds and y represents the years since 1992.

a) What do the slope andy-intercept represent in this context?

i) Estimate the first year when the winning time will be below 21 s. Remember that the summerOlympics occurs every four years.

3. A research company summarized the average time spent every day by teenagers watchingtelevision.

Year 1999 2000 2001 2002 2003 2004 2005 2006Time (min). 179 195 196 190 187 185 182 169

a) Create a scatter plot, and draw a curve of best fit for the data using quadratic regression.Show a rough sketch of your graph from your graphing calculator or from EXCEL in the spacebelow.

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b) Use your graph to determine and state the equation for the quadratic function that best modelsthis data.

c) Use your graph to estimate the average amount of time spent watching television in 2008.

4. Shane tracked the depth of the water at an ocean marina one afternoon. His data is summarized inthe table below. _ _¦&u,siYit= o ' a 3 y 6 y-

Time of Day 12:00 13:00 14:00 15:00 16:00 18:00 19:00Depth (ft) 12.3 12.7 13.3 13.8 14.3 14.6 14.3

a) Determine the equation for the cubic regression function that models this data. Let jc bethe number of hours since 12:00 andy be the depth in feet.

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Show a rough sketch of your graph from your graphing calculator or from EXCEL in the spacebelow.

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b) Interpolate the depth of the water at 17:00. Show your work. / / ? » o O-iQlOO =

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c) Extrapolate the depth of the water at 10:30 that morning. Show your work.

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