Question

Charlie gathered data about the time it takes him to complete a crossword puzzle and the number of clues in the puzzle. He used a graphing tool to organize the data in a scatter plot and find the line of best fit.

He found the relationship between the number of clues, x, and the time required to complete the puzzle, y, is modeled by the equation y=0.376x + 15.48, and the correlation coefficient for the data is 0.219.
Could the line of best fit be used to make reliable predictions about the time it takes Charlie to complete a crossword puzzle?
A) Yes, because the slope of the line of best fit is closer to o than to 1, which indicates a strong association between the variables.
B) Yes, because the correlation coefficient is closer to o than to 1, which indicates a strong association between the variables.
C) No, because the slope of the line of best fit is closer to 0 than to 1, which indicates a weak association between the variables.
D) No, because the correlation coefficient is closer to o than to 1, which indicates a weak association between the variables.

Answer 1

The line of best fit can be used to make reliable predictions about the time it takes Charlie to complete a crossword puzzle. The slope of the line indicates a positive association between the variables. The correlation coefficient indicates a weak but significant association.

Step-by-step explanation:

The line of best fit can be used to make reliable predictions about the time it takes Charlie to complete a crossword puzzle. The equation y=0.376x + 15.48 represents the relationship between the number of clues, x, and the time required to complete the puzzle, y. The slope of the line of best fit is 0.376, which indicates a positive association between the variables. The correlation coefficient of 0.219 indicates a weak association, but it is still significant, meaning there is some relationship between the variables.