Pearson correlation is an example of a nonlinear correlation Pearson correlation is an example of a nonlinear correlation true or false
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- MathematicsAverage Age and Length of Service The data show the average ages and lengths of service in months. Age 24.8 25.4 26.3 26.7 27.1 Time 66.3 71 72.5 88.2 80.2 Send data to Excel The correlation coefficient for the data is r = 0.824 and a= 0.05. should regression analysis be done? The regression analysis should not be done. • 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 = -120.306 b = 7.519 If a service person is 26.7 years old, predict the time that the person will serve. Round the answer to at least one decimal place. The service person will serve 80.45 months.A value of -1 for the coefficient of correlation between two variables means that the two variables are ________________. weakly related not related at all somewhat strongly related very weakly related perfectly related
- The Pearson s product moment correlation coefficient (r ) is derived by calculating the ratio of the _____________. between treatments variability / variability in X and Y separately variability in X and Y separately / the covariance of X and Y together between treatments variability / the total variability in the dataset the covariance of X and Y together / variability of X and Y separatelyCorrelation Question An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 5 people. Higher scores for cognitive function reflect higher levels of performance. Hours of sleep Cognitive function 0 2 10 6 4 2 8 4 8 6 ______________________________________________________________________________ Write the null and research hypotheses for the relationship between sleep and cognitive functioning in regular prose-i.e. you do NOT need to use H0/H1 form. The correlation coefficient for this problem is .875. Is it significant? Determine this by using the critical t-values table and alpha level = .05 for a two-tailed test. Does the…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
- A positive value of the correlation coefficient "r" means_________ Group of answer choices that when x increases, y tends to increase and when x decreases, y tends to decrease that when x increases, y tends to increase and when x increases, y tends to decrease that when x increases, y tends to decrease and when x decreases, y tends to increasePls someone help I really need these answers fast Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.@ 2 Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). 9 2 3 4 2 5 9 10 D 85 52 55 68 67 86 83 73 Cost Number OA. 0.246 OB. 0.708 OC. -0.071 OD. 0.235 W S X дв mand #3 80 F3 E D C $ A GA 4 F4 R F % er d 5 V & T G 6 MacBook Air B Fo Y H & 7 U N * 8 J DII FB 1 M ( 9 K F9 О O < I H do ) O L Time Remaining: 01:55:22 P ^. : ; d F11 { + [ = 11 T 1 ? command option Next 1 de
- Multiple Choice Question The table below shows data collected on the length and weight of sand sharks. Length 60 62 64 66 68 70 72 Weight 105 114 124 131 139 149 158 A linear regression analysis is run on this data and results in a linear regression equation of y = 4.36x - 156.14 where x is the length of the shark in inches and y is the weight of the sharks in pounds. The correlation coefficient (r) is calculated as 0.9991. Interpret the slope of the regression line in context. A. On average, for each pound heavier a sand shark is, it will be 4.36 inches longer. B. On average, for every 1 inch longer a sand shark is, it will weight 4.36 more pounds. C. Each pound more a sand shark weighs adds exactly 4.36 inches to its length. D. Each inch longer a sand shark is adds exactly 4.36 pounds to its weight.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 5Oil 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.