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Lines of Best Fit & Predictions · Easy Worksheet 1

Lines of Best Fit & Predictions — Easy Worksheet 1

Grade 8 · MathSheets    Name: ____________________   Date: __________

Each scatter plot shows a line of best fit. Answer with a number, or write the equation as y = mx + b.

How to solve

A line of best fit y = mx + b follows the trend of the data. To predict, substitute the x-value into the equation. The slope m is the predicted change in y for each 1 unit increase in x, and the y-intercept b is the predicted value when x = 0. To write the equation, pick two points on the line, find the slope, then find b.

Example

The line of best fit is y = -2x + 42. Predict y when x = 5.

012345678910051015202530354045Age of car (years)Value (thousands of $)

Answer: 32

right so far
1 The line of best fit is y = 9x + 8. Predict y when x = 5.
0123456789100102030405060708090100Laps swumCalories burned
2 The line of best fit is y = 2x + 3. By how much does the predicted y change for each additional week? (Use a negative number for a decrease.)
012345678910024681012141618202224WeeksPlant height (cm)
3 The line of best fit is y = 14x + 9. Predict y when x = 3.
012345678910020406080100120140160Hours workedMoney earned ($)
4 The line of best fit is y = 8x + 11. What value of y does it predict when x = 0?
0123456789100102030405060708090100Hours workedMoney earned ($)
5 The line of best fit is y = -3x + 48. Predict y when x = 4.
01234567891005101520253035404550Age of car (years)Value (thousands of $)
6 The line of best fit is y = 2x + 9. By how much does the predicted y change for each additional week? (Use a negative number for a decrease.)
01234567891005101520253035WeeksPlant height (cm)
7 The line of best fit is y = 11x + 5. Predict y when x = 7.
012345678910020406080100120140Laps swumCalories burned
8 The line of best fit is y = -3x + 63. What value of y does it predict when x = 0?
012345678910010203040506070DaysWater in pond (cm)

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