HELP IMPORTANT CLASS IS ABOUT TO END!! AND IM INTHE MIDDLE OF A TEST

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?

Question

02-04-2024
Mathematics

contestada

HELP IMPORTANT CLASS IS ABOUT TO END!! AND IM INTHE MIDDLE OF A TEST

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?

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petegaffney petegaffney · Answer 1 · 2024-04-02T20:52:47+02:00

The correlation coefficient indicates the strength and direction of the relationship between variables, with values closer to 1 indicating a strong positive correlation and values closer to -1 indicating a strong negative correlation.

Among the given equations and correlation coefficients:

1. For the relationship between men’s and women’s bicycles sold, the correlation coefficient is 0.791.
2. For the relationship between men’s and children’s bicycles sold, the correlation coefficient is 0.564.
3. For the relationship between children’s and women’s bicycles sold, the correlation coefficient is 0.945.

The line of best fit with the highest correlation coefficient (0.945) is the one representing the relationship between children’s and women’s bicycles sold. Therefore, the store owner can expect this line to produce the most reliable predictions.