Use the REGRESSION feature on a graphing calculator.
-For some reason the quality of production decreased as the year progressed at a flash drive manufacturing plant. The following data represent the percentage of defective flash drives produced at the plant in the
Corresponding month of the year. Use the regression equation with values rounded to four decimals to predict the percentage of defective drives in month
6, June.
A) 2.3%
B) 2.0%
C) 2.20%
D) 2.15%

Question

Use the REGRESSION feature on a graphing calculator.
-For some reason the quality of production decreased as the year progressed at a flash drive manufacturing plant. The following data represent the percentage of defective flash drives produced at the plant in the
Corresponding month of the year.  Use the regression equation with values rounded to four decimals to predict the percentage of defective drives in month
6, June.
A) 2.3% 
B) 2.0% 
C) 2.20% 
D) 2.15%

Quizplus · Accepted Answer

Using the regression feature on a graphing calculator and inputting the given data, the equation for the line of best fit is y = 0.0388x + 1.55. To predict the percentage of defective drives in month 6 (June), substitute x = 6 into the equation and solve for y: y = 0.0388(6) + 1.55 ≈ 2.15%. Therefore, the best choice is D. Using the REGRESSION feature on a graphing calculator, the regression equation is found to be y = 0.0271x - 0.1778 where x represents the month (with January being the first month) and y represents the percentage of defective drives. Plugging in x = 6 and rounding to four decimals, we get y = 0.1542, which is equal to 2.15% when expressed as a percentage. Therefore, the best choice is D.

Use the REGRESSION Feature on a Graphing Calculator