Worksheet

Slope of a fit line from r and the spreads

Grade 11 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. Pia's class compares practice-test scores (x) with final-test scores (y), r = 0.8. A student is 2 spreads above the mean on x, z = 2. How many spreads from ȳ is the predicted y?

  2. Zee's class compares practice-test scores (x) with final-test scores (y), r = 0.6. A student is 1.5 spreads above the mean on x, z = 1.5. How many spreads from ȳ is the predicted y?

  3. Esme's class compares practice-test scores (x) with final-test scores (y), r = 0.7. A student is 2 spreads below the mean on x, z = -2. How many spreads from ȳ is the predicted y?

  4. Jun's class compares practice minutes (x) with free throws made (y). The fit line is ŷ = 20 + 3x. One dot is (15, 70). What is its residual?

  5. Luz's class compares temperature in °F (x) with ice melt minutes (y). The fit line is ŷ = 60 − 1.5x. One dot is (20, 34). What is its residual?

  6. Milo's class compares miles from school (x) with bus ride minutes (y). The fit line is ŷ = 12 + 4x. One dot is (6, 33). What is its residual?

  7. r = 0.8; spread of x = 4; spread of y = 10. Noah's class compares practice minutes (x) with free throws made (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

  8. r = 0.5; spread of x = 4; spread of y = 5. Pia's class compares sunlight hours (x) with bean plant height (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

  9. r = -0.6; spread of x = 10; spread of y = 5. Tala's class compares temperature in °F (x) with ice melt minutes (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

  10. r = 0.9; spread of x = 6; spread of y = 4. Zee's class compares miles from school (x) with bus ride minutes (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

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Slope of a fit line from r and the spreads

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Pia's class compares practice-test scores (x) with final-test scores (y), r = 0.8. A student is 2 spreads above the mean on x, z = 2. How many spreads from ȳ is the predicted y?

    1.6

  2. Zee's class compares practice-test scores (x) with final-test scores (y), r = 0.6. A student is 1.5 spreads above the mean on x, z = 1.5. How many spreads from ȳ is the predicted y?

    0.9

  3. Esme's class compares practice-test scores (x) with final-test scores (y), r = 0.7. A student is 2 spreads below the mean on x, z = -2. How many spreads from ȳ is the predicted y?

    -1.4

  4. Jun's class compares practice minutes (x) with free throws made (y). The fit line is ŷ = 20 + 3x. One dot is (15, 70). What is its residual?

    5

  5. Luz's class compares temperature in °F (x) with ice melt minutes (y). The fit line is ŷ = 60 − 1.5x. One dot is (20, 34). What is its residual?

    4

  6. Milo's class compares miles from school (x) with bus ride minutes (y). The fit line is ŷ = 12 + 4x. One dot is (6, 33). What is its residual?

    -3

  7. r = 0.8; spread of x = 4; spread of y = 10. Noah's class compares practice minutes (x) with free throws made (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

    0.32

  8. r = 0.5; spread of x = 4; spread of y = 5. Pia's class compares sunlight hours (x) with bean plant height (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

    0.4

  9. r = -0.6; spread of x = 10; spread of y = 5. Tala's class compares temperature in °F (x) with ice melt minutes (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

    -1.2

  10. r = 0.9; spread of x = 6; spread of y = 4. Zee's class compares miles from school (x) with bus ride minutes (y). Now the class wants a line that predicts x from y, using the table shown. What is its slope?

    1.35