Slope of a fit line from r and the spreads
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
r = 0.8; spread of x = 5; spread of y = 10. Esme's class compares practice minutes (x) with free throws made (y). The summary is in the table shown. What is the slope b of the fit line?
r = 0.6; spread of x = 4; spread of y = 12. Jun's class compares sunlight hours (x) with bean plant height (y). The summary is in the table shown. What is the slope b of the fit line?
r = -0.5; spread of x = 2; spread of y = 8. Kira's class compares temperature in °F (x) with ice melt minutes (y). The summary is in the table shown. What is the slope b of the fit line?
Slope b = 1.6; mean of x, x̄ = 20; mean of y, ȳ = 40. Milo's class compares practice minutes (x) with free throws made (y). The fit line passes through the means in the table shown. What is its intercept a?
Slope b = 1.8; mean of x, x̄ = 10; mean of y, ȳ = 30. Noah's class compares sunlight hours (x) with bean plant height (y). The fit line passes through the means in the table shown. What is its intercept a?
Slope b = -2; mean of x, x̄ = 50; mean of y, ȳ = 120. Pia's class compares temperature in °F (x) with ice melt minutes (y). The fit line passes through the means in the table shown. What is its intercept a?
Slope b = 4.5; mean of x, x̄ = 2; mean of y, ȳ = 17. Tala's class compares miles from school (x) with bus ride minutes (y). The fit line passes through the means in the table shown. What is its intercept a?
Zee's class compares practice minutes (x) with free throws made (y). The fit line is ŷ = 8 + 1.6x. What does it predict for x = 25?
Jun's class compares temperature in °F (x) with ice melt minutes (y). The fit line is ŷ = 220 − 2x. What does it predict for x = 60?
Kira's class compares miles from school (x) with bus ride minutes (y). The fit line is ŷ = 8 + 4.5x. What does it predict for x = 3?