**Identify the reasons the following statements are incorrect. Not all reasons will be used.**1. **Researchers found that the correlation between the number of pages in novels and the number of hours it takes to read them is \( r = 0.71 \) pages.** - **Answer Reason:** Correlation should not depend on units.2. **The correlation between the advertised selling price of cars and the makes of the cars is \( r = -0.69 \).** - **Answer Reason:** Both variables should be numerical.3. **The amount of ice cream in a sundae and the total grams of fat are highly correlated (\( r = 1.15 \)).** - **Answer Reason:** Correlation should be between \(-1\) and \(1\).4. **The correlation between average gas mileage in miles per gallon and average highway speeds in miles per hour differs from the correlation between average gas mileage in miles per gallon and average highway speeds in kilometers per hour.** - **Answer Reason:** Correlation should not depend on units.**Answer Bank:**- Correlation should be greater than 0.- Correlation should depend on units.- One of the variables should be categorical.- Both variables should be numerical.- Correlation should be between \(-1\) and \(1\).- Correlation should not depend on units.

Correlation is used to find the relationship between two quantitative variables. The range of…

Answered: Identify the reasons the following…

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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For a set of correlated data, you calculate that the correlation coefficient (r) is -0.87. What percent of the variation in the dependent variable is explained by variation in the independent variable? D2L requires decimal format. Convert your percentage to a decimal rounded to the third place. i.e. 51.2218% = 0.512.
Dr. Wright, a researcher at the Young County Botany Institute, reported the following correlations. The correlation between pH level of soil and tomato weight is r₁ = 0.8. The correlation between hours of sunlight and tomato weight is r2 = 0.7. According to this information, which of the following statements are true? Select all that apply. ✓Larger tomatoes result from more daily hours of sunlight. Larger tomatoes result from lower soil pH level. ✔Tomato size is related more strongly to hours of sunlight than to soil pH level. None of these are true.
Below is a table showing the relationship between age and bone density of a typical healthy adult male. Age (years) 25 35 45 55 65 75 85 Bone density (mg/cm²) 1165 1135 1085 1060 1015 975 910 Using your line of best fit find the equation for this line. Describe the correlation between the two variables and what conclusions can you make from this set of data? Using graph plotted extrapolate to find the bone density of a 90 years old typical adult.
A researcher found the correlation between math ability and math anxiety is -0.6. Which of the following is NOT correct? The people who have lower math ability tend to have higher math anxiety. The people who have higher math ability tend to have lower math anxiety. Student A has high math anxiety is because she/he has a low math ability
A correlation of 0.5. The community of having a cat and dog average is 60% and SD = 15. find the score of people having cats that show 75%.
Click this Video for Finding Correlation Coefficient by Using Formula. Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. x (hour) 8 9 3 9 1 2 3 4 5 Calculate the sample correlation coefficient (r) to three decimal places. r= 9 Why would we expect the correlation coefficient to be positive? As the sleep time increases, exam score increases As the sleep time increases, exam score decreases As the sleep time decreases, exam score increases There is no change in exam score to sleep time C E y (score) 91 94 51 100 90 C A
we can conclude from correlation calculation that one variable caused the other variable. True or False.
Which value of r indicates a stronger correlation: r= 0.841 or r= - 0.949? Explain your reasoning. Choose the correct answer below. O A. r= 0.841 represents a stronger correlation because -0.949 > 0.841|. B. r= - 0.949 represents a stronger correlation because -0.949|> |0.841|. C. r= - 0.949 represents a stronger correlation because 0.841 > - 0.949. D. r= 0.841 represents a stronger correlation because 0.841 > - 0.949.
The correlation between a variable and itself is always equal to 0.5 -1 1
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.
What does the sign and actual number tell you in a correlation?
The correlation between autonomy (how independent and in control of their own decisions someone feels) and sleep disturbance is -0.327. Explain this correlation in terms of size and direction (note: use the actual variables in your explanation).

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