Sophia Intro to Statistics Milestone 4

MI 44 D. The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient r 5 8 11 9 14 7 20 13 10 Number of absences, x Final Grade, y 96 84 78 80 69 90 53 74 80 O A. -0.888 O B. -0.918 O D. -0.899 59°F Clear ^ E Type here to search PrtS F8 F10 F1 F12 8. 3. 7. 5. 9. R A. H. B. N. Alt Alt

1:10 O b A O "Q. * a E (19 For numbers 1 to 3: The thermal condition in a cave is critical for sustaining a bat population. A sudden change in the temperature is related to deaths of bats in hundreds. An attempt to measure the degree of association between the temperature (in °C) and death toll (number of deaths) was done using 20 caves with reported cases of massive death among bats. Assume that temperature and death toll are bivariate normal. Given below is the R software output: > cor.test(temp , death) Pearson's product-moment correlation data: temp and death t - -1.4403, df - 148, p-value - 0.1519 alternative hypothesis: true correlation is not equal to e 95 percent confidence interval: -0.27269325 0.04351158 sample estimates: cor -0.1175698

ment Score: 85% O Attempt 2 on 1 of 14 > Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph. 25- n 20- 15- 10- 5- 10 10 20 Variable I Variable I r= 0.0 r=-0.99 Answer Bank r=-0.99 r 0.0 r= -0.8 r= 0.9 r= 0.4 30- e 0.8- 0.6- 04- 10- r=-0.8 r= 0.4 02- 10 02 04 0.6 08 10 Variable Variable 1 DELL Variable 6 Variable 5

Which of the following correlation coefficients indicate the strongest linear relationship between two variables x and y?       rxy = 0.5     rxy = 0.09     rxy = − 0.6     rxy = 0

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The correlation of 4 pairs of observations is –0.94. What is E ? Sy Sx А. —1.03 В. —1.75 С. - 1.38 D. -2.82

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Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph

Calculate correlation coefficient from the following data : N= 10, E X= 140, E Y= 150 E (X – 10)2 = 180, E(Y– 15)² = 215, E (X- 10) (Y– 15) = 60 %3D %3D %3D %3D

7:45 PM Fri Apr 15 ... AA www-awu.aleks.com X A ALEKS - Emily Men... Module 8 Quiz Prac... Outline Planning G... lvs Session ( O MODULE 10o: INTERPRETING CATEGORICAL AND QUANTITATIVE DATA Computing residuals 3/5 The table and scatter plot show the time spent watching TV, x, and the time spent doing homework, y, by each of 11 students last week. The equation of the line of best fit is y=-0.3x+20.51. Time spent Time spent watching TV, x doing homework, y (in hours) (in hours) 28- 6.0 19.62 24. 6.8 16.73 Time spent 20 doing homework 8.3 21.04 (in hours ) 16- 10.5 18.90 12- 10.7 15.49 12.1 15.50 13.3 15.51 15.1 19.00 Time spent watching TV 16.4 16.48 (in hours ) 18.1 17.50 20.5 13.30 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Time spent Observed time spent Predicted time spent doing homework (in hours) Residual watching TV (in hours) doing homework (in hours) (in hours) D. 15.1 18.1

A biologist is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. (Please refer to the photos attached) A. Find correlation coefficient (r), correct to 4 decimal places. B. Is there a linear correlation between these results? (Show scatter diagram) C. Determine the equation of regressuon line of caloric intake or body mass, expressing the alope and y- intercept. (Plot the estimated regression line on the scatter diagram) D. Estimate the caloric intake when the body mass is 4.8kg. (Show graph) 2. LINEAR CORRELATION & LINEAR REGRESSION PROBLEM A biologist is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. Body Mass kg (X) 3.4 3.6 4.6 5 | 7 8 8.5 9| 10 2 6 Caloric Intake, cal h-1 (Y) 1.5 2.1 3.2 3.6 3.6 3.9 4.1 4.2 4.5 4.6 5.9 A.…

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Ho : H= 1.87 H1 : u tcrit = 1.645, then reject Ho; otherwise fail to reject Ho. Oa = 0.05; one-tailed; if tobt > tcrit= 1.761, then reject Ho; otherwise fail to reject Ho. Oa= 0.05; one-tailed; if zobt < Zcrit = -1.645, then reject Ho; otherwise fail to reject Ho. %3D α. QUESTION 20 For 6 months we worked with a groun of 15 severelv mentally handicapped individuals in an attempt to teach them self-care through imitation. For a second 6- Save All Ar Click Save and Submit to save and submit. Click Save All Answers to save all answers.

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Why does the squared curvilinear correlation referred to as a partial η2 for that component?

The correlation between X and Y is r = 0.35. If we doublw each X value, decrease each Y by 0.20, and interchange the variables (put X on the Y-axis and vice versa), the new correlation is?

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The director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school. Based on the data below, decide if the correlation between the number of years and the amount of the contribution is significant at the alpha value of 0.05. Years x 1 3 5- 10 69 Contribution y 640 290 170 45 70 80 a) Determine the line of best fine y = a + bx b) When x = 8 what is y and what does it mean in this context. %3D