Which of the following is incorrect? (a) The correlation and the covariance tell us about the direction of the linear relationship between two variables (b) The covariance ranges between -1 and 1 (c) We can use a scatterplot to observe the strength and direction of the linear relationship between two variables (d) If two variables are independent, then their correlation is zero. (e) We cannot tell the strength of the linear relationship of two variables from the covariance

Which of the following is incorrect? (a) The correlation and the covariance tell us about the direction of the linear relationship between two variables (b) The covariance ranges between -1 and 1 (c) We can use a scatterplot to observe the strength and direction of the linear relationship between two variables (d) If two variables are independent, then their correlation is zero. (e) We cannot tell the strength of the linear relationship of two variables from the covariance

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...

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Correlations Socioeconom Math ic Status Achievement Socioeconomic Status Pearson Correlation 1 .466 Sig. (2-tailed) <.001 N 999 999 Math Achievement Pearson Correlation .466" Sig. (2-tailed) <.001 999 999 **. Correlation is significant at the 0.01 level (2-tailed).
In general, a zero correlation means as the values of one variable increase, there is a tendency for the values of the other variable also to increase. as the values of one variable increase, there is a tendency for the values of the other variableto decrease. as the values of one variable increase, there is no tendency for the values of the other variable to change in any consistent, predictable fashion. as the values of one variable decrease, there is a tendency for the values of the other variable also to decrease.
An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate(y beats per minute) 166 150 134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept. The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ = (d) Use the equation of the least-squares line from part (c) to predict the maximum…
A scientist, who wants to study the effects of precipitation on rice crops, sets up an experiment with 4 groups of rice crops. Rice crop harvest vs. precipitation level Group B Group A 0 150 Group C Precipitation (cm/annually) Harvest (pounds/acre) 0 60 Which statement best describes the relationship between the dependent and independent variables in this study? 20 O The amount of precipitation is dependent on the amount of rice harvest. O The amount of rice harvest is positively correlated with the increase in precipitation. The amount of rice harvest is not affected by the amount of precipitation. The amount of rice harvest is negatively correlated with the increase in precipitation. 200 Group D 40 300
The coefficient of correlation will be zero if if the relationship between two variables x and y is non-linear. if there is no linear relationship between two variables. if the covariance between two variables x and y is 1. None of the above.
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☐True ☐False In two correlated variables, if one of them increases when the other decreases that is called an inverse relationship.
For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5
True or False: A semi-partial correlation will always be smaller than a zero-order correlation.
After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation
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