Making Predictions: Interpolation
Practice making predictions within the range of observed data using lines of best fit. Learn how to use trend lines for interpolation.
Questions
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MultiChoice
What does 'interpolation' mean when using a line of best fit?
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MultiChoice
Given the trend line equation y = 3x + 10, what is the predicted value of y when x = 4?
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MultiChoice
A linear model y = -2x + 50 predicts exam performance. What is the predicted score for x = 10?
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MultiChoice
A scatter plot of height (x in inches) vs weight (y in lbs) has line y = 4x - 130. Predict weight for height x = 65.
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MultiChoice
The best fit equation for study time (x hours) vs test score (y) is y = 6x + 55. What score is expected for 5 hours of study?
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MultiChoice
A best fit line is y = 1.5x + 2. If y = 11, what is the predicted value of x?
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MultiChoice
Data was collected for temperatures between 50°F and 90°F. Predicting a value at 70°F is an example of:
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MultiChoice
A line model y = -0.5x + 20 represents ice remaining (y kg) after x hours. Predict ice left at x = 8 hours.
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MultiChoice
If a line of best fit is y = 0.8x + 15, what is the estimated y-value when x = 25?
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MultiChoice
A linear model predicts plant growth: y = 2x + 3 (x in weeks). How tall is the plant predicted to be at week 4?
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MultiChoice
For the equation y = -4x + 100, find x when the predicted y is 60.
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MultiChoice
Why is interpolation generally considered reliable?