Katie Sr Yr Stats practice problem set (prob 17)

The following data represent the number of weeks of sprint training (x) and the resulting 40-yard dash times in seconds (y) for a group of athletes:
What is the correct regression equation, correlation coefficient (r), and coefficient of determination (r²) for the sprint training data?

• Equation: y^=−0.18x+5.2, Correlation: r=−0.99, Determination: r²=0.98

• Equation: y^=−0.17x+5.2, Correlation: r=−0.95, Determination: r²=0.90

• Equation: y^=−0.15x+5.3, Correlation: r=−0.91, Determination: r²=0.83

• Equation: y^=−0.20x+5.0, Correlation: r=−0.85, Determination: r²=0.72

Tags

CCSS.HSS.ID.C.8

What is the best predicted 40-yard dash time for someone who has trained for 2 weeks?

• 5.0 seconds

• 4.9 seconds

• 4.84 seconds

• 4.75 seconds

How many weeks of training are needed to reach a dash time of 4.5 seconds?

• 3.6 weeks

• 3.9 weeks

• 4.2 weeks

• 4.5 weeks

Tags

CCSS.7.EE.B.4A

The following data show the number of hours of weekly violin practice (x) and a judge’s performance rating (y) on a scale of 1–10:
What is the correct regression equation, correlation coefficient (r), and coefficient of determination (r²) for the violin practice data?

• Equation: y^=0.85x+3.1, Correlation: r=0.99, Determination: r²=0.98

• Equation: y^=0.80x+3.2, Correlation: r=0.96, Determination: r²=0.92

• Equation: y^=0.75x+3.0, Correlation: r=0.91, Determination: r²=0.83

• Equation: y^=0.65x+3.5, Correlation: r=0.87, Determination: r²=0.76

Tags

CCSS.HSS.ID.C.8

What is the best predicted performance score for someone who practices 2 hours per week?

• 4.5

• 4.8

• 5.2

• 5.5

How many hours of practice are needed to score an 8 on the performance scale?

• 5.5 hours

• 5.8 hours

• 6.2 hours

• 6.5 hours

Tags

CCSS.HSS.ID.B.6A