Match each scatterplot shown below with the best desciption of its correlation 8 800 89 00 O ooo 8 Select an answer Select an answer Select an answer
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- Question list I values for the correlation coefficient Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 K An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weights of various cars and their gas mileages. Complete parts (a) through (d). 27 0.381 28 0.374 29 0.367 30 0.361 X Miles per Car Weight (pounds) Gallon A 3175 22 B 3590 C D E 3000 3565 2580 tical values table. 18 22 20 27 (a) Determine which variable is the explanatory variable and which is the response variable. The explanatory variable is the weight and the response variable is the miles per gallon. The explanatory variable is the miles per gallon and the response variable is the weight. (b) Draw a scatter diagram of the data. Choose the correct scatter plot. O A. B.…Overhead Width of seal 7.2 7.4 9.8 9.4 8.8 8.4 Weight of seal 106 134 225 200 180 171 Find the value of the linear correlation coefficient r 0.678 0.985 0.875 0.789The given data represent the total compensation for 10 randomly selected CEOS and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r=-0.1766. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million? Click the icon to view the compensation and stock performance data. Click the icon to view a table of critical values for the correlation coefficient. What would be the predicted stock return for a company whose CEO made $15 million? % (Type an integer or decimal rounded to one decimal place as needed.) CEO Compensation and Stock Performance Compensation Stock (millions of dollars) Return (%) 26.42 12.84 19.78 13.52 11.99 11.63 26.33 15.23 17.23 14.18 6.16 30.79 32.11 79.78 - 8.19 2.46 4.75 11.24 3.62 11.36 D - X
- The value of the correlation that represents the weakest linear correlation. -0.24 0.50 0.35 0.00Association A researcher investigating the associationbetween two variables collected some data and was surprised when he calculated the correlation. He had expected to find a fairly strong association, yet the corre-lation was near 0. Discouraged, he didn’t bother making a scatterplot. Explain to him how the scatterplot couldstill reveal the strong association he anticipated.Listed below are paired data consisting of amounts spent on advertising (In millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and proft. Use a significance level of 0.05 and round all values to 4 decimal places. Advertising Cost Proft 25 4 28 20 6. 21 7. 21 8 22 6. 20 10 23 Ho: p 0 Ha: p z 0 Find the Linear Correlation Coefficient Find the p-value p-value %3D The p-value is Greater than a O Less than (or equal to) a The p-value leads to a decision to O Reject Ho O Do Not Reject Ho
- Scenario: Is there a relationship between number of hours studied (X) and final exam scores (Y)? Question: What is the most appropriate statistical test to conduct given this scenario? Pearson's r correlation Spearman correlation Point Biserial correlation Phi correlationEspañol Oil and Gas Prices The average gasoline price per gallon (in cities) and the cost of a barrel of oil are shown below for a random selection of weeks in 2015. Oil ($) 66.30 47.23 53.72 43.17 61.92 84.25 Gasoline ($) 2.838 2.606 2.719 2.556 2.645 2.964 Send data to Excel olo The correlation coefficient for the data is r=0.936 and a=0.01. Should regression analysis be done? O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places. y'=a+bx a = b = Find the cost of gasoline when oil is $60 a barrel. Round the answer to st least three decimal places. When oil is $60 a barrel, gas costs$ per gallon. Submit Assignment Continue O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use| Privacy Center | Accessibility MacBook Air DIL F11 F10 80 888 F9 FB F7 F6 F5 esc F4 F3 F2 F1 & %23 $ 山园x = number of traffic tickets y = Cost of auto insurance In a test of linear correlation produces a P-value of 0.578. At the 5% level of significance will the correlation be useful in using x to predict y? Group of answer choices Yes Not enough information No It depends None of these
- SPEARMAN'S RANK CORRELATION Suppose 10 rivers have been ranked by a two judges according to their cleanliness. Do the judges seem to agree on their ratings? River Judge A Judge B 1 6 5 2 6 3 10 4 5 6 7 8 9 10 4 9 1 2 2 3 8 1 7 10 9 Describe the correlation coefficient Is the correlation significant at 0.05 level of significant (two tailed)? 7 3 8 5[ CORRELATION ANALYSIS Determine the relationship between the number of hours students spent per week on studying the lessons on the modules on Statistics and Probability and their obtained grades for the grading period. A random sample of 10 students is selected. The data obtained are shown in the table. Calculate the Pearson's sample correlation coefficient and interpret the result. Number of hours studying Grade (y) x² y² Student xy per week (x) 4 96 2 83 3 81 4 79 5 4 88 3 87 3 90 1 77 85 82 Exy= Computation: Interpretation: 6 8 9 10 Σχ= 2 2 Σy= Ex²= Ey²=Oil and Gas Prices The average gasoline price per gallon (in cities) and the cost of a barrel of oil are shown below for a random selection of weeks in 2015. Oil (S) 72.74 81.22 63.26 55.36 68.19 47.61 Gasoline ($) 2.754 3.083 2.806 2.311 2.464 2.309 Send data to Excel The correlation coefficient for the data is r = 0.857 and a = 0.05. Should regression analysis be done? %3D O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places. y' = a+bx a = Find the cost of gasoline when oil is $63 a barrel. Round the answer to at least three decimal places. When oil is $63 a barrel, gas costs$ per gallon.