Complete the following instructions: i. Identify the independent and dependent variables. ii. Calculate and interpret the Pearson correlation coefficient r for the paired data. Be sure to indicate if the correlation is positive or negative, and whether it is strong, moderate, or weak, or if there does not appear to be any significant correlation. A researcher for a gasoline retailer examines the relationship between the volume of gasoline purchased in kL(i.e. 1000 L) compared to the price of gasoline (in $/L), over a course of several days, to see if there is a correlation between the data: Amount of Gasoline Purchased Price of Gasoline 2.257 1.079 3.126 1.015 2.793 1.046 4.671 0.973 2.137 1.021 5.916 0.939 2.775 0.995 4.88 0.927 3.162 0.964 7.498 0.899 2.971 0.982 3.596 0.945 1.372 1.129 3.961 1.059 i. Independent Variable: Dependent Variable: ii. Pearson correlation coefficient (r): Round to 3 decimal places.= Correlation: ? Correlation Strength:?

Complete the following instructions: i. Identify the independent and dependent variables. ii. Calculate and interpret the Pearson correlation coefficient r for the paired data. Be sure to indicate if the correlation is positive or negative, and whether it is strong, moderate, or weak, or if there does not appear to be any significant correlation. A researcher for a gasoline retailer examines the relationship between the volume of gasoline purchased in kL(i.e. 1000 L) compared to the price of gasoline (in $/L), over a course of several days, to see if there is a correlation between the data: Amount of Gasoline Purchased Price of Gasoline 2.257 1.079 3.126 1.015 2.793 1.046 4.671 0.973 2.137 1.021 5.916 0.939 2.775 0.995 4.88 0.927 3.162 0.964 7.498 0.899 2.971 0.982 3.596 0.945 1.372 1.129 3.961 1.059 i. Independent Variable: Dependent Variable: ii. Pearson correlation coefficient (r): Round to 3 decimal places.= Correlation: ? Correlation Strength:?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Amount of Gasoline Purchased	Price of Gasoline
2.257	1.079
3.126	1.015
2.793	1.046
4.671	0.973
2.137	1.021
5.916	0.939
2.775	0.995
4.88	0.927
3.162	0.964
7.498	0.899
2.971	0.982
3.596	0.945
1.372	1.129
3.961	1.059

Similar questions

Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Approve of Sushi Marriage Equality Generation Millennials y 32 39 Gen X Boomers Silent/Greatest Generation 54 52 61 55 69 66 a. Determine the correlation coefficient between the percentage of people who won't try sushi and the percentage who do not approve of marriage equality. (Do not round until the final answer. Then round to two decimal places as needed.) b. What explanations can you offer for the correlation coefficient in part (a)? Choose the correct answer below. O A. Unwillingness to try sushi and disapproval of marriage equality have a weak positive correlation. O B. Unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation. C. Unwillingness to try sushi and disapproval of marriage equality have no correlation. O D. Unwillingness to try sushi and disapproval of marriage equality have a strong positive correlation. c. Find the equation of…
2. State whether the variables described have a positive correlation, a negative correlation, or no correlation. (a) Income and SAT scores (b) Length of a person's hair and how far they sit from the screen in a movie theater. (c) Hours of exercise per week and blood pressure.
The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation. The coefficient of variation for the BMI's of beauty pageant winners from the 1920s and 1930s is %
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.
The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r=0.692. At a =0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? E Click the icon to view the soccer player data. Determine the null and alternative hypotheses. Ho: p o Maximum Weights and Jump Heights Ha: p o Maximum Jump height, y Determine the critical value(s). weight, x 190 60 to = (Round to three decimal places as needed. Use a comma to separate answers as needed.) 185 56 155 55 Determine the standardized test statistic. 180 59 175 55 t= (Round to three decimal places as needed.) 170 65 What is the conclusion? 150 52 160 52 Ho. There V enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the…
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of seven anesthetized bears that were measured, the linear correlation coefficient is r=0.147. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? LOADING... Click the icon to view the table of critical values of r. The critical values are nothing. (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Since the correlation coefficient r is ▼ between the critical values in the right tail above the positive critical value in the left tail below the negative critical value , there ▼ is not is sufficient evidence to support the claim of a linear correlation.
A graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between using the explanatory variable x=study time per week (average number of hours) to predict the response variable y=college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. Student 1 2 3 4 5 6 7 8 Study Time 15 6 22 13 24 4 10 15 GPA 3.4 2.8 3.9 3.2 3.7 2.7 3.2 2.7 a. Construct a scatterplot. Interpret. Which scatterplot below correctly shows the data? A. 04004xy A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 10 and a vertical y-axis labeled from 0 to 4 in increments of 1. A cluster of plotted points that form a line that rises from left to right lie between…
The researcher measures the relationship between the number or interruptions in class and time spent on a task in minutes. Answer the following based of the results provided. number of interuptions daily excercise 8 18 3 40 6 20 2 32 1. Compute the Pearson correlation coefficient 2. Multiply each measurement of interruptions by 3 and recalculate the correlation coefficient. 3. Divide each measurements in half for a time on task and recalculate the correlation coefficient 4. True or false, multiplying or dividing a positive constant by one set of scores (X or Y) does not change the correlation coefficient.
A psychologist has calculated the correlation between two variables as 0.9. Which of the following statements is correct? a. The average value of y changes by 0.9 when x is increased by 1. b. The average value of x changes by 0.9 when y is increased by 1. c. The explanatory variable ( x ) explains 0.9 of the variation in the response variable ( y ) d. The explanatory variable ( x ) explains 0.81 of the variation in the response variable ( y )
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.506. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.256. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O B. The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O C. The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors. O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors.