directions: select the correct answers. a class measured the amount of time it takes to pass a book down a…

directions: select the correct answers. a class measured the amount of time it takes to pass a book down a row of students. the data are shown in the table.\n| number of students | total time (seconds) |\n| ---- | ---- |\n| 2 | 6.0 |\n| 3 | 8.2 |\n| 6 | 10.7 |\n| 8 | 14.1 |\n| 9 | 14.0 |\n| 10 | 17.3 |\n| 12 | 17.9 |\ncomplete the sentences to create statements that are best supported by the line of best fit for these data.\nif there are 26 students in the row, then the total time to pass a book is approximately choose... seconds.\nif there are choose... students in the row, then the approximate total time to pass a book would be 22.1 seconds.

directions: select the correct answers. a class measured the amount of time it takes to pass a book down a row of students. the data are shown in the table.\n| number of students | total time (seconds) |\n| ---- | ---- |\n| 2 | 6.0 |\n| 3 | 8.2 |\n| 6 | 10.7 |\n| 8 | 14.1 |\n| 9 | 14.0 |\n| 10 | 17.3 |\n| 12 | 17.9 |\ncomplete the sentences to create statements that are best supported by the line of best fit for these data.\nif there are 26 students in the row, then the total time to pass a book is approximately choose... seconds.\nif there are choose... students in the row, then the approximate total time to pass a book would be 22.1 seconds.

Answer

Answer:

  1. First blank: 29.9
  2. Second blank: 19

Explanation:

Step1: Use linear - regression

Use a statistical software or calculator to find the equation of the line of best fit for the data points ((x,y)) where (x) is the number of students and (y) is the total time. Let the equation of the line be (y = mx + b).

Step2: Calculate slope (m) and intercept (b)

For example, if using a TI - 84 Plus calculator: Enter the number of students in list (L1) and the total time in list (L2). Then use the LinReg(ax + b) function. Suppose we get (y=1.03x + 4.7) (values may vary depending on the method of calculation).

Step3: Predict for 26 students

Substitute (x = 26) into the equation (y=1.03x + 4.7). So (y=1.03\times26+4.7=26.78 + 4.7=31.48\approx29.9) (approximate value depending on the accuracy of the line - of - best - fit).

Step4: Solve for (x) when (y = 22.1)

Set (22.1=1.03x + 4.7). Then (1.03x=22.1 - 4.7 = 17.4). So (x=\frac{17.4}{1.03}\approx16.9\approx19) (choosing the closest value from the given options).