Final answer:
The question involves creating a scatterplot, finding a line of best fit, calculating the least-squares line, and analyzing the correlation in the context of a high school math/statistics problem.
Step-by-step explanation:
The subject of this question is Mathematics, as it involves creating a scatterplot, finding a line of best fit, calculating the least-squares line, and analyzing the significance of correlation coefficient. These are typical tasks associated with high school level algebra and statistics.
Steps to address the question:
- Draw a scatter plot of the data with the number of pictures on the x-axis and the price of the package on the y-axis.
- Calculate the least-squares line, which minimizes the sum of the squared differences between the observed values and the values predicted by the line. Use the formula ý = a + bx where ý is the predicted value, a is the y-intercept, b is the slope, and x is the independent variable.
- Discuss the significance of the y-intercept (a) in this context. Consider if the intercept has a meaningful interpretation when extrapolating the number of pictures to zero.
- Find the correlation coefficient to assess the strength and direction of the linear relationship between the number of pictures and the price of the package.
- Consider the significance of the correlation coefficient to determine if the relationship between the variables is strong enough to make reliable predictions.