Question

1. assume that during a three - hour period spent outside, a person recorded the temperature and their water consumption. the experiment was conducted on 7 randomly selected days during the summer. the data is shown in the table below.

day	temperature (f)	water consumption (oz)
2	85	27
3	97	48
4	75	16
5	92	32
6	85	25
7	83	20

create a scatter plot with the data. what is the correlation of this scatter plot? (hint: do not use the day on the scatter plot.)
identify the data sets as having a positive, a negative, or no correlation.

1. the number of hours a person has driven and the number of miles driven
2. the number of siblings a student has and the grade they have in math class
3. the age of a car and the value of the car
4. the number of weeks a cd has been out and the total sales
5. the number of years a person went to school and their income
6. the number of songs downloaded on your i - pod and the amount of memory available
7. the amount of time spent on the computer instant messaging your friends and the number of computers in your house
8. the age of a house and the number of people living in the house

Explanation:

Step1: Analyze the relationship between temperature and water - consumption data

As the temperature increases, the water - consumption generally increases. For example, when the temperature is 75°F, water - consumption is 16 oz, and when the temperature is 99°F, water - consumption is 48 oz.

Step2: Determine the type of correlation

Since an increase in one variable (temperature) is associated with an increase in the other variable (water - consumption), the correlation is positive.

Step3: Analyze other data - set pairs

8.

The number of hours a person has driven and the number of miles driven: As the number of hours driven increases, the number of miles driven also increases. So, it has a positive correlation.

9.

The number of siblings a student has and the grade they have in math class: There is no clear relationship between the number of siblings and math grades. So, it has no correlation.

10.

The age of a car and the value of the car: As the age of a car increases, its value generally decreases. So, it has a negative correlation.

11.

The number of weeks a CD has been out and the total sales: Usually, as the number of weeks a CD has been out increases, the total sales may initially increase and then decrease. But if we consider the initial phase, there is a positive correlation.

12.

The number of years a person went to school and their income: Generally, more years of schooling are associated with higher income. So, it has a positive correlation.

13.

The number of songs downloaded on your iPod and the amount of memory available: As the number of songs downloaded increases, the amount of memory available decreases. So, it has a negative correlation.

14.

The amount of time spent on the computer instant - messaging your friends and the number of computers in your house: There is no clear relationship between these two variables. So, it has no correlation.

15.

The age of a house and the number of people living in the house: There is no clear relationship between the age of a house and the number of people living in it. So, it has no correlation.

Answer:

For the temperature - water consumption data: Positive correlation

1. Positive correlation
2. No correlation
3. Negative correlation
4. Positive correlation (initially)
5. Positive correlation
6. Negative correlation
7. No correlation
8. No correlation