rob is investigating the effects of font size on the number of words that fit on a page. he changes the font…

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.\nwords per page\n| font size | 14 | 12 | 16 | 10 | 12 | 14 | 16 | 18 | 24 | 22 |\n| word count | 352 | 461 | 340 | 407 | 435 | 381 | 280 | 201 | 138 | 114 |\nwhich 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?\n y=-55x + 407\n y=-41x + 814\n y=-26x + 723

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.\nwords per page\n| font size | 14 | 12 | 16 | 10 | 12 | 14 | 16 | 18 | 24 | 22 |\n| word count | 352 | 461 | 340 | 407 | 435 | 381 | 280 | 201 | 138 | 114 |\nwhich 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?\n y=-55x + 407\n y=-41x + 814\n y=-26x + 723

Answer

Explanation:

Step1: Calculate mean of x (font size)

Sum x=14+12+16+10+12+14+16+18+24+22=158, x̄=158/10=15.8

Step2: Calculate mean of y (word count)

Sum y=352+481+340+407+435+381+280+201+138+114=3129, ȳ=3129/10=312.9

Step3: Check each option with x̄=15.8

Option 3: y=-26(15.8)+723≈-410.8+723=312.2≈312.9

Answer:

C. y=-26x + 723