Question

rob is investigating the effects of font size on the number of words that fit on a page. he changes the font size on an essay and records the number of words on one page of the essay. the table shows his data. words per page font size 14 12 16 10 12 14 16 18 24 22 word count 352 461 340 407 435 381 280 201 138 114 which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page? y = -55x + 407 y = -41x + 814 y = -26x + 723

Explanation:

Step1: Calculate Σx, Σy, Σxy, Σx²

Σx=158, Σy=3109, Σxy=44442, Σx²=2676

Step2: Compute slope m

m=(1044442 - 1583109)/(10*2676 - 158²)=-46802/1796≈-26

Step3: Compute intercept b

b=(3109 - (-26)*158)/10≈722

Step4: Match with options

Equation y≈-26x+722, closest to y=-26x+723

Answer:

C. y=-26x + 723