Line of Best Fit Assignment

Kardal did a study to determine the correlation between men's heights, x, and their shoe sizes, y, and found the following data: (60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5) Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply.

1 3

Which scenarios have a negative correlation? Check all that apply.

1 5

Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the number of miles run, y. (1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11) Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the nearest tenth of a mile. day 3 ≈

4.6

Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player score for every additional hour of practice?

B

Which table shows a positive correlation?

B

Which temperature values would an interpolation be limited to?

B

Which scatterplot shows no correlation?

D

LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning.

LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.

John sells frozen fruit bars at a stand in a park during the summer months. He records the average weekly temperature and number of frozen fruit bars sold for 6 weeks. What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-worl

positive 2.2 1