Concept explainers
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(a)
To find out which variable you want to use as the explanatory and response variable and why and what would you expect to see in the
(a)
Answer to Problem 2E
Price would be the explanatory variable and number sold would be the response variable.
There is a negative, linear relationship. The relationship is strong.
Explanation of Solution
Now, we have to find out for the: T-shirts at a store; price each and number sold.
We know that, the response variable is the focus of a question in a study or experiment. An explanatory variable is one that explains changes in that variable. It can be anything that might affect the response variable.
As we can see that, price is the explanatory variable and number sold is the response variable because price predicts the number that will be sold.
The relationship is negative because as price increases, the number sold is expected to decrease. The relationship is linear because as price increases, the number sold is expected to decrease by the same amount each time. The relationship is strong because the relationship between the two is almost entirely linear.
(b)
To find out which variable you want to use as the explanatory and response variable and why and what would you expect to see in the scatterplot and also discuss the likely direction, form and strength for the same
(b)
Answer to Problem 2E
Depth would be the explanatory variable and water pressure would be the response variable.
There is a positive, linear relationship. The relationship is strong.
Explanation of Solution
Now, we have to find out for the: Scuba diving; depth and water pressure.
We know that, the response variable is the focus of a question in a study or experiment. An explanatory variable is one that explains changes in that variable. It can be anything that might affect the response variable.
As we can see that,depth is the explanatory variable and water pressure is the response variable because depth is used to predict the water pressure.
The relationship is positive because as depth increases, water pressure also increases. The relationship is linear because as depth increases by one unit, water pressure also increases by the same amount each time. The relationship is strong because the relationship between the two is likely almost completely linear.
(c)
To find out which variable you want to use as the explanatory and response variable and why and what would you expect to see in the scatterplot and also discuss the likely direction, form and strength for the same
(c)
Answer to Problem 2E
Depth is the explanatory variable and visibility is the response variable.
There is a negative, linear relationship. The relationship is strong.
Explanation of Solution
Now, we have to find out for the: Scuba diving; depth and visibility.
We know that, the response variable is the focus of a question in a study or experiment. An explanatory variable is one that explains changes in that variable. It can be anything that might affect the response variable.
As we can see that,depth is the explanatory variable and visibility is the response variable because depth is used to predict visibility.
The relationship is negative because as depth increases, visibility decreases. The relationship is linear because as depth increases by one unit each time, visibility is expected to decrease by the same amount each time. The relationship is strong because the relationship between the two is almost completely linear.
(d)
To find out which variable you want to use as the explanatory and response variable and why and what would you expect to see in the scatterplot and also discuss the likely direction, form and strength for the same
(d)
Answer to Problem 2E
Weight is the explanatory variable and score is the response variable.
There is no relationship between the two variables.
Explanation of Solution
Now, we have to find out for the: All elementary school students; weight and a score on a reading test.
We know that, the response variable is the focus of a question in a study or experiment. An explanatory variable is one that explains changes in that variable. It can be anything that might affect the response variable.
As we can see that,weight is the explanatory variable and score is the response variable because weight is being used to predict reading score.
There is no relationship because there is no
Chapter 7 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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Elementary Statistics
Algebra and Trigonometry (6th Edition)
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- y of 45 home- televisions u find that 010020 le own one, ee, and 1 owns y histogram of 4 Suppose that you have a loaded die. You roll it several times and record the outcomes, which are shown in the following figure. Histogram for Loaded Die 444% 34.00 48% 6% 2% Frequency 20 20 15 155 10 5- ம 0 1 2 3 4 Outcome 5 6 a. Make a relative frequency histogram of these results. b. You can make a relative frequency histo- gram from a frequency histogram; can you go the other direction?arrow_forwardCalculate the mean for Study Hours and Test Scores. Compute the covariance between the two variables using the formula: Calculate the standard deviation for Study Hours (X) and Test Scores (Y). Determine the correlation coefficient Interpret the results: What does the calculated r-value indicate about the relationship between study hours and test scores?arrow_forwardFor unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank c. What is the probability that a…arrow_forward
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