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V ANALYSIS I Data Set 1. Imagine that a cart is rolling smoothly along alevel track as shown in the diagram at the right. A motion detector, placed at the left end of the track, records the position of the moving cart at equal intervals of time. Assume that the forces of friction are very small and can be neglected in your data analysis. The motion data is shown below. t, s x, m 0.20 0.69 0.40 0.80 0.60 1.18 0.80 1.29 1.00 1.69 1.20 1.83 You wish to learn the relationship between position and time. Time t is the independent variable and position x is the dependent variable. Enter the data into a graphing calculator or a data analysis program, plot the data and examine the resulting graph. Often, it is best to plot data as points only and omit the connecting lines between points. programs allow you to display plotted data either 1. Most plotting way. Make a freehand sketch of the resulting graph. Include axes labels (variable names and units) on your sketch. Does the graph show a linear relationship? 2. Do a linear regression analysis of the data, report the resulting slope and y-intercept with proper units, and write the explicit function. Plot the regression function on the same graph as your plotted data. Comment on how well the regression function fits the data? 3. 4

V ANALYSIS I Data Set 1. Imagine that a cart is rolling smoothly along alevel track as shown in the diagram at the right. A motion detector, placed at the left end of the track, records the position of the moving cart at equal intervals of time. Assume that the forces of friction are very small and can be neglected in your data analysis. The motion data is shown below. t, s x, m 0.20 0.69 0.40 0.80 0.60 1.18 0.80 1.29 1.00 1.69 1.20 1.83 You wish to learn the relationship between position and time. Time t is the independent variable and position x is the dependent variable. Enter the data into a graphing calculator or a data analysis program, plot the data and examine the resulting graph. Often, it is best to plot data as points only and omit the connecting lines between points. programs allow you to display plotted data either 1. Most plotting way. Make a freehand sketch of the resulting graph. Include axes labels (variable names and units) on your sketch. Does the graph show a linear relationship? 2. Do a linear regression analysis of the data, report the resulting slope and y-intercept with proper units, and write the explicit function. Plot the regression function on the same graph as your plotted data. Comment on how well the regression function fits the data? 3. 4

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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ANALYSIS I Data Set 1. Imagine that a cart is rolling smoothly along alevel track as shown in the diagram at the right. A motion detector, placed at the left end of the track, records the position of the moving cart at equal intervals of time. Assume that the forces of friction are very small and can be neglected in your data analysis. The motion data is shown below. t, s x, m 0.20 0.69 0.40 0.80 0.60 1.18 0.80 1.29 1.00 1.69 1.20 1.83 You wish to learn the relationship between position and time. Time t is the independent variable and position x is the dependent variable. Enter the data into a graphing calculator or a data analysis program, plot the data and examine the resulting graph. Often, it is best to plot data as points only and omit the connecting lines between points. Most plotting programs allow you to display plotted data either way. 1. 2. Make a freehand sketch of the resulting graph. Include axes labels (variable names and units) on your sketch. Does the graph show a linear relationship? 3. Do a linear regression analysis of the data, report the resulting slope and y-intercept with proper units, and write the explicit function. Plot the regression function on the same graph as your plotted data. Comment on how well the regression function 4 fits the data?
Transcribed Image Text:ANALYSIS I Data Set 1. Imagine that a cart is rolling smoothly along alevel track as shown in the diagram at the right. A motion detector, placed at the left end of the track, records the position of the moving cart at equal intervals of time. Assume that the forces of friction are very small and can be neglected in your data analysis. The motion data is shown below. t, s x, m 0.20 0.69 0.40 0.80 0.60 1.18 0.80 1.29 1.00 1.69 1.20 1.83 You wish to learn the relationship between position and time. Time t is the independent variable and position x is the dependent variable. Enter the data into a graphing calculator or a data analysis program, plot the data and examine the resulting graph. Often, it is best to plot data as points only and omit the connecting lines between points. Most plotting programs allow you to display plotted data either way. 1. 2. Make a freehand sketch of the resulting graph. Include axes labels (variable names and units) on your sketch. Does the graph show a linear relationship? 3. Do a linear regression analysis of the data, report the resulting slope and y-intercept with proper units, and write the explicit function. Plot the regression function on the same graph as your plotted data. Comment on how well the regression function 4 fits the data?
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