MathsheetsPrintable math worksheets for teachers and families
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Use a Linear Model: Slope and Intercept
Say what the slope and intercept mean in this situation, then use the model to predict.
Example
The line of best fit is y = 5x + 52, where x is hours studied and y is test score. What do the slope and the y-intercept mean here, and what does the model predict when x = 5?
Slope means: each extra hour of study is worth about 5 more points (5)
Intercept means: a student who did not study at all would score about 52 (52)
Prediction: y = 5(5) + 52 = 77
1.
The line of best fit is y = 5x + 52, where x is hours studied and y is test score. What do the slope and the y-intercept mean here, and what does the model predict when x = 6?
Slope means:
Intercept means:
Prediction:
2.
The line of best fit is y = −2x + 24, where x is age of car (years) and y is price ($1000s). What do the slope and the y-intercept mean here, and what does the model predict when x = 6?
Slope means:
Intercept means:
Prediction:
3.
The line of best fit is y = −0.4x + 82, where x is minutes of exercise per day and y is resting heart rate. What do the slope and the y-intercept mean here, and what does the model predict when x = 32?
Slope means:
Intercept means:
Prediction:
4.
The line of best fit is y = 1.5x + 3, where x is pages in the chapter and y is minutes to read. What do the slope and the y-intercept mean here, and what does the model predict when x = 16?
Slope means:
Intercept means:
Prediction:
5.
The line of best fit is y = −2x + 190, where x is daily high temperature (°f) and y is cups of hot chocolate sold. What do the slope and the y-intercept mean here, and what does the model predict when x = 55?