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
(b) Find the correlation coefficient. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c-1) To test the correlation coefficient for significance at α = 0.05, fill in the following. (Use the rounded value of the correlation coefficient from part b in all calculations. For final answers, round tcalc to 3 decimal places and the p-value to 4 decimal places. Negative values should be indicated by a minus sign.) tcalc= p-value= Noodles & Company Sales Growth and Loyalty Card Sales (n = 74 restaurants) Annual Sales Growth (%) Loyalty Card % of Net Sales Restaurant Growth% Loyalty% 1 -8.3 2.1 2 -4.0 2.5 3 -3.9 1.7 4 -3.4 2.1 5 -3.3 2.5 6 -1.9 3.0 7 -0.8 2.3 8 -0.4 2.3 9 -0.2 2.2 10 -0.2 2.3 11 0.5 2.1 12 0.6 2.5 13 0.8 2.0 14 1.9 2.0 15 2.0 2.0 16 2.1 2.6 17 2.8 2.2 18 2.9 2.1 19 4.0 1.9 20 4.0 2.2 21 4.0 0.7 22 4.0 2.0 23 4.2 1.8 24 4.6 2.1 25 5.1 2.5 26 5.1 2.6…
(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
a) Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) r = b) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P- value = c) If a regression analysis were to be carried out to predict endurance from lactate level, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) ____________ d) If a regression analysis were to be carried out to predict lactate level from endurance, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) _____________
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
1:49 AA O www-awn.aleks.com : d on the same scale from a population, O REGRESSION AND CORRELATION Linear relationship and the.. y u V 1.0 3.0 1.0 7.2 11 10 10 9- 84 2.0 | 4.4 2.0 9.0 3.0 | 3.0 3.0 | 7.0 4.0 4.9 4.0 5.6 6- 5.0 4.3 5.0 8.1 4. 4- 6.0 | 7.0 6.0 4.8 2. 7.0 | 6.1 7.0 4.3 8.0 7.8 8.0 | 7.1 9.0 | 7.0 Figure 1 9.0 6.0 Figure 2 10.0 8.3 10.0 4.3 t mn w 1.0 10.0 1 10- x 9- 1.0 3.8 11 2.0 | 5.8 10- 94 2.0 9.0 3.0 | 8.1 3.0 | 8.0 7 4.0 7.0 4.0 | 9.2 6- 5. 5.0 10.3 4. 5.0 6.0 4- 3 3 6.0 9.7 6.0 5.0 2. 7.0 | 9.8 7.0 | 4.0 8.0 | 7.9 8.0 3.0 9.0 2.0 Figure 4 |10.0 1.0 9.0 | 6.6 Figure 3 10.0 3.7 Answer the following questions. The same response answer for more than one question. 1. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? Choose one 2. In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one 3. Which data set indicates the strongest negative linear Choose one relationship…
Given the correlation coefficient 0.794 and the linear regression equation ŷ = 16.4 +1.58x, compute the coefficient of determination. p² Round to 4 decimal places. =

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