Slope of a fit line from r and the spreads
Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.
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Summary table (example data), statistic and value
r = 0.5; mean of x, x̄ = 7; spread of x = 2; mean of y, ȳ = 20; spread of y = 6.
Milo's class compares sunlight hours (x) with bean plant height (y). The summary is in the table shown. What is the intercept a of the fit line?
Summary table (example data), statistic and value
r = -0.6; mean of x, x̄ = 50; spread of x = 10; mean of y, ȳ = 30; spread of y = 6.
Noah's class compares temperature in °F (x) with ice melt minutes (y). The summary is in the table shown. What is the intercept a of the fit line?
Summary table (example data), statistic and value
r = 0.75; mean of x, x̄ = 12; spread of x = 4; mean of y, ȳ = 25; spread of y = 8.
Pia's class compares miles from school (x) with bus ride minutes (y). The summary is in the table shown. What is the intercept a of the fit line?
Slope b = 1.5; spread of x = 4; spread of y = 10. Tala's class compares practice minutes (x) with free throws made (y). The fit line and spreads are in the table shown. What is the correlation r?
Slope b = 0.4; spread of x = 5; spread of y = 2.5. Zee's class compares sunlight hours (x) with bean plant height (y). The fit line and spreads are in the table shown. What is the correlation r?
Slope b = -3; spread of x = 2; spread of y = 10. Esme's class compares temperature in °F (x) with ice melt minutes (y). The fit line and spreads are in the table shown. What is the correlation r?
Summary table (example data), statistic and value
r = 0.8; mean of x, x̄ = 20; spread of x = 5; mean of y, ȳ = 40; spread of y = 10.
Kira's class compares practice minutes (x) with free throws made (y). The summary is in the table shown. What does the fit line predict for x = 30?
Summary table (example data), statistic and value
r = 0.5; mean of x, x̄ = 6; spread of x = 2; mean of y, ȳ = 20; spread of y = 6.
Luz's class compares sunlight hours (x) with bean plant height (y). The summary is in the table shown. What does the fit line predict for x = 10?
Summary table (example data), statistic and value
r = -0.6; mean of x, x̄ = 50; spread of x = 10; mean of y, ȳ = 30; spread of y = 6.
Milo's class compares temperature in °F (x) with ice melt minutes (y). The summary is in the table shown. What does the fit line predict for x = 60?
Summary table (example data), statistic and value
r = 0.75; mean of x, x̄ = 12; spread of x = 4; mean of y, ȳ = 25; spread of y = 8.
Noah's class compares miles from school (x) with bus ride minutes (y). The summary is in the table shown. What does the fit line predict for x = 4?