payton collected data to show the relationship between the number of hours to practice and the number of…

payton collected data to show the relationship between the number of hours to practice and the number of errors he makes when playing a new piece of music. the table shows the data.\npractice makes better\n| number of hours | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |\n| number of errors | 36 | 34 | 30 | 21 | 22 | 16 | 11 | 5 |\nwhich is the approximate slope of the line of best - fit for the data?\n- 5.5\n- 4.5\n- 4.0

payton collected data to show the relationship between the number of hours to practice and the number of errors he makes when playing a new piece of music. the table shows the data.\npractice makes better\n| number of hours | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |\n| number of errors | 36 | 34 | 30 | 21 | 22 | 16 | 11 | 5 |\nwhich is the approximate slope of the line of best - fit for the data?\n- 5.5\n- 4.5\n- 4.0

Answer

Explanation:

Step1: Calculate Σx

1+2+3+4+5+6+7+8=36

Step2: Calculate Σy

36+34+30+21+23+10+11+6=171

Step3: Calculate Σxy

1×36+2×34+3×30+4×21+5×23+6×10+7×11+8×6=578

Step4: Calculate Σx²

1²+2²+3²+4²+5²+6²+7²+8²=204

Step5: Compute slope m

m=(8×578 - 36×171)/(8×204 - 36²)=(-1532)/336≈-4.5

Answer:

-4.5