Select the correct answer. The owner of a sporting goods store gathered data about the numbers of men’s, women’s and children’s bicycles sold each month. She used a graphing tool to organize the data in different scatter plots and found these lines of best fit: The relationship between the numbers of men’s, x, and women’s, y, bicycles sold is modeled by the equation y = 0.95x + 0.83, and the correlation coefficient for the data is 0.791. The relationship between the numbers of men’s, x, and children’s, y, bicycles sold is modeled by the equation y = 0.87x + 0.98, and the correlation coefficient for the data is 0.564. The relationship between the numbers of children’s, x, and women’s, y, bicycles sold is modeled by the equation y = 0.73x + 0.91, and the correlation coefficient for the data is 0.945. Which line of best fit can the store owner expect to produce the most reliable predictions?
A. the line modeling the numbers of men’s and women’s bicycles sold
B. the line modeling the numbers of men’s and children’s bicycles sold
C. the line modeling the numbers of children’s and women’s bicycles sold D. All three lines will give equally reliable predictions.

the reason i think it's C. is because it says that the correlation is 0.945 which is the strongest out of the rest so therefore it has to be more reliable. Thats my guess tho. Educated guess as teacher call it.

Answer Link

ayoushivt ayoushivt · Answer 2 · 2022-07-22T07:09:52+02:00

The line of best fit which gives the most reliable predictions is, the line modeling the numbers of children’s and women’s bicycles sold, the correct option is C.

What is the Correlation Coefficient?

Correlation coefficient is the value which depicts the linear interdependence of two variables.

Its value lies in between -1 to 1.

The scatter data and the line for the best fit is:

The relationship between

numbers of men’s, x, and women’s, y, bicycles sold is modeled by the equation

y = 0.95x + 0.83,

The Correlation coefficient is 0.791.

numbers of men’s, x, and children’s, y, bicycles sold is modeled by the equation

y = 0.87x + 0.98

The correlation coefficient is 0.564.

numbers of children’s, x, and women’s, y, bicycles sold is modeled by the equation

y = 0.73x + 0.91

The correlation coefficient is 0.945.

The correlation coefficient for the plot numbers of children’s, x, and women’s, y, bicycles sold is 0.945, which shows a strong relationship between the variables and is the most reliable prediction, the correct option is C.

To know more about Correlation Coefficient

https://brainly.com/question/15577278

#SPJ2