Use the REGRESSION feature on a graphing calculator.
-The use of bottled water in the United States has shown a steady increase in recent years. The table shows the annual per capita consumption for the years 1995 - 2001. With x being the years since 1995, find the linear function that represents this data. Round your answer to two decimal
Places.
B) y = 0.89x + 4.07
D) y = 4.07x + 0.89

Question

Use the REGRESSION feature on a graphing calculator.
-The use of bottled water in the United States has shown a steady increase in recent years. The table shows the annual per capita consumption for the years 1995 - 2001.  With x being the years since 1995, find the linear function that represents this data. Round your answer to two decimal
Places.
B) y = 0.89x + 4.07 
D) y = 4.07x + 0.89

Quizplus · Accepted Answer

To find the linear function that represents this data, we can use the regression feature on a graphing calculator. Using the linear regression feature, the equation of the line of best fit is y = 0.89x + 4.07. Therefore, the answer is choice B. To find the linear function that represents the data, we need to use the regression feature on a graphing calculator. Inputting the data into the calculator and performing Linear Regression, we get a linear function of the form y = ax + b, where a is the slope and b is the y-intercept. The slope represents the rate of change of the consumption per capita per year. The output of the calculator gives us the following results:

y = 0.89x + 4.07
Slope = 0.89
y-intercept = 4.07

Therefore, the linear function that represents the data is y = 0.89x + 4.07. Rounded to two decimal places, the answer is B.

Use the REGRESSION Feature on a Graphing Calculator