Chapter 3 Lesson 4 HW - Copy

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Pennsylvania State University *

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100

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Statistics

Date

May 1, 2024

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pdf

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4

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Chapter 3 Lesson 4 HW #1. Watch the video of making residual plots. Write down the steps of making a residual plot. https://savi-cdn.macmillantech.com/brightcove/index.html?videoId=573163497100 1 Steps to make a residual plot: #2. G iven data on the fuel consumption y of a car at various speeds x. Fuel consumption is measured in liters of gasoline per 100 kilometers driven, and speed is measured in kilometers per hour. A statistical software package gives the least-squares regression line y^=11.058–0.01466x. Use the residual plot to determine if this linear model is appropriate. Explain. #3. Is there a relationship between the amount of sugar (in grams) and the number of calories in movie-theater candy? Here are the data from a sample of 12 types of candy:
a. Sketch a scatter plot of the data using sugar as the explanatory variable . b. Use technology to calculate the equation of the least-squares regression line for predicting the number of calories based on the amount of sugar. Add the line to the scatterplot from part (a). c. Explain why the line calculated in part(b) is called the“least-squares”regression line. d. Use technology to create a residual plot. Sketch the residual plot and explain what information it provides.
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