Question

part b: correlations and scatterplots directions: use the data sets below. create a scatterplot grid to the right of the word problem. plot each one on a scatterplot (x - axis = first variable, y - axis = second variable). then, determine whether the correlation is positive, negative, or none. 1. exercise and stress (hours of exercise per week vs. stress level 1 - 10) data: (0,9), (1,8), (2,7), (3,6), (4,5), (5,4) type of correlation? __________ 2. hours of tv and gpa (hours of tv per day vs. gpa) data: (1,3.8), (2,3.5), (3,3.2), (4,3.0), (5,2.6), (6,2.3) type of correlation? ________ 3. caffeine and test performance (cups of coffee vs. test score %) data: (0,70), (1,80), (2,85), (3,90), (4,88), (5,85), (6,70) type of correlation? ________ 4. shoe size and intelligence (shoe size vs. iq) data: (5,100), (6,98), (7,102), (8,101), (9,99), (10,100) type of correlation? __________

Explanation:

Step1: Analyze Exercise and Stress data

As the hours of exercise per week (x - values: 0, 1, 2, 3, 4, 5) increase, the stress level (y - values: 9, 8, 7, 6, 5, 4) decreases.

Step2: Analyze Hours of TV and GPA data

As the hours of TV per day (x - values: 1, 2, 3, 4, 5, 6) increase, the GPA (y - values: 3.8, 3.5, 3.2, 3.0, 2.6, 2.3) decreases.

Step3: Analyze Caffeine and Test Performance data

As the cups of coffee (x - values: 0, 1, 2, 3, 4, 5, 6) increase from 0 - 3, the test score increases from 70 - 90, then from 3 - 6 cups, it decreases. But overall, there is a positive - like trend initially.

Step4: Analyze Shoe Size and Intelligence data

As the shoe size (x - values: 5, 6, 7, 8, 9, 10) changes, the IQ (y - values: 100, 98, 102, 101, 99, 100) shows no clear increasing or decreasing pattern.

Answer:

1. Negative
2. Negative
3. Positive
4. None