The weight (x) and systolic blood pressure (y) of 26 randomly selected males in the age group 25 to 30 are shown in the following table.Assume that weight and blood pressure are jointly normally distributed.Subject Weight Systolic BP11651302167133180150415512852121516.175146719015082101402001481014912511158133121691351317015014172153151591281616813217174149181831581921515020195163211801562214312423240170242351652519216026187159 Round your answers to 3 decimal places.(a) Estimate the correlation coefficient.r- i(b) Test the hypothesis that Ho: p = 0 against H1:p + Owitha = 0.05.(c) Test the hypothesis that Ho: p = 0.62 against H1:p + 0.62 witha = 0.05.(d) Construct a 95% confidence interval for the correlation coefficient.

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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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The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they slept the night before the exam. Calculate the linear correlation coefficient. n = 10 Σx = 70 Σy = 700 Σx 2= 504.4 Σy 2 = 53410 Σxy = 5126.8
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. O A. OB. Best Actor (years) 70- 20- 20 70 Best Actress (years) Best Actor (years) The linear correlation coefficient is r= (Round to three decimal places as needed.) xample Get more help. 70- ||||||||| THHHH 20+ 20 Best Actr 11111 H ||||||||| Qu 70 Q *** Best Actor (years) C. 20+ 20 P +||||| HHHH 70 Best Actresses and Best Actors 29 Best Actress 29 30 29 59 32 32 43 Best Actor 45 37 40 43 49 50 59 48 O D. Best Actor (years) 64 37 70- 20+ 20 D M 23 42 53 55 43…
(d) Compute the linear correlation coefficient between MRI count and IQ for females. Compute the linear correlation coefficient between MRI count and IQ for males. The linear correlation coefficient for females is enter your response here. 2.The linear correlation coefficient for males is enter your response here. Cirticul value table 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 27 0.381 28 0.374 29 0.367 30 0.361 n
Find the Q1, Q3 and IQR of the 1% hydrogen peroxide
The following zero order correlation coefficients are given : r12 = 0.5 r13 = 0.6 r23 =.7 %3D Calculate the multiple correlation coefficients R1,23, R2.13 and R3.12
(i) State the hyptheses. (ii) Sketch a scatter plot tat best represents the data. (iii) Compute the value of the correlation coefficient. Round the answer to at least three decimal places. (iv) Find the P-value. Round the answer to at least four decimal places. Test the significance of r at α=0.05. Determine whether to reject or not reject the null hypothesis.
A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes they make on a simple test. He records the following data: Hours without sleep, x 30 36 48 24 42 30 36 42 Number of MIstakes, y 6 8 15 7 10 7 10 12 Test Ho: p = 0 against H,: p± 0 at a = 0.05. The correlation coefficient r = 0.903 has been computed from the data. a) Give the critical value or values. b) Compute the value of the test statistic.
You run a regression analysis on a bivariate set of data (n = 22). With ☎ = 22.3 and y = 58.5, you obtain the regression equation y = 0.842x + 37.664 with a correlation coefficient of r = 0.897. You want to predict what value (on average) for the response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
You run a regression analysis on a bivariate set of data (n = 120). With i = 66.3 and y = 50.6, you obtain the regression equation y = 4.097x – 11.636 with a correlation coefficient of r = 0.56. You want to predict what value (on average) for the response variable will be obtained from a value of 120 as the explanatory variable. What is the predicted response value? y = (Report answer accurate to one decimal place.)
Consider this set of bivariate data. x 2 3 2 3 y 2 3 1 2 (a) Draw a scatter diagram. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Calculate the correlation coefficient. (Give your answers correct to three decimal places.) 0.707 (c) Calculate the line of best fit. (Give your answers correct to two decimal places.) y hat = + x
Data collected from a sample of 8 students relating study time (x in hours per week) and leisure time (y in hours per week) yielded the information shown below. What is the value of the sample correlation coefficient? Enter your answer accurate to TWO (2) decimal places. X= 59.37 Y = 4.25 SS= 1843.87 SS, = -49.75 SS, = 7.5
(d) Test the significance of the correlation coefficient at a=0.05, using The Critical Values for the PPMC Table. Critical values: + Reject the null hypothesis. X Ś

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