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2.4 Trends, Interpolation and Extrapolation
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Line of Best Fit a line that approximates a trend for the data in a scatter plot shows pattern and direction
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Line of Best Fit a line that approximates a trend for the data in a scatter plot shows pattern and direction
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How to Find the Line of Best Fit The line of best fit should: – pass through as many points as possible – allow remaining points to be grouped equally above and below the line
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Draw the line of best fit for the following scatter plots:
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Why make a Line of Best Fit? Helps us to make predictions by INTERPOLATING EXTRAPOLATING
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Interpolating: Estimating a value BETWEEN two measurements in a set of data Extrapolating: Estimating a value BEYOND the range of a set of data
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Interpolating – what would the wife’s age be of a husband who is 57? Extrapolating - what would the wife’s age be of a husband who is 84?
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The table below shows the sales of bottled water at a refreshment booth at the Canadian National Exhibition in Toronto for different days during a heat wave one summer. Temperature (°C) 23252829242827303235 373637 Bottles Sold3250112147193223312390286250357364321335 Dependent variable: Bottles sold Independent Variable: Temperature
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20 24 28 32 36 40 44 500 450 400 350 300 250 200 150 100 50
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20 24 28 32 36 40 44 500 450 400 350 300 250 200 150 100 50
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Describe the relationship between the variables. – The warmer it is outside the more bottles of water you sell. d) Identify any outliers. Should they be included in the data set? – (let’s discuss) e) What does the ordered pair (29, 147) mean? – remember (x,y)!!!!
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20 24 28 32 36 40 44 500 450 400 350 300 250 200 150 100 50 “ Outlier” Order pair (29,147)
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Predict how many bottles of water will be sold on a day when the temperature reaches 25°C. This is an example of ___________________. g) Predict how many bottles of water will be sold on a day when the temperature reaches 42°C. This is an example of ___________________. HW. p. 73 #2, 4, 6-8
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