I PxY (xy) Consiter the followihg pdf: 2 -2 3 ad Find the variance of random varibles x and Y, b.) Find the cs varience between Xand Y c.) Fine the Correlation coefficient betwren X and Y
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![Il Consiter the follawilg pofi
fxx (xy)
2
-2
al Find the variance of random varibles X and
Y,
b.) Find the co varience between Xand Y
c.) Fine the
Correlation Coefficient betwren X end Y
c.) Find Px ard Px
e) Find PxY (xly] for every y.
f) Find PYlx (yk)
for
Every t.
o tM O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3096ecc-4168-46da-9b03-e203b35c20cd%2F7945e280-fb07-4472-876b-4d6664d17578%2Fl6e56t_processed.png&w=3840&q=75)
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- Caffeine (mg) Sleep (hours) 60 8 0 8 220 5.5 100 7 80 6.5 For caffeine intake, the mean is 92 and the standard deviation is 80.75. For sleep, the mean is 7 and the standard deviation is 1.06. Calculate the linear correlation coefficient r by hand for this set of paired data values using r=(z_x-z_y)/(n-1). Show your work. Is the value of r statistically significant? Use Pearson's r table to justify your answer. Does the value for r and the statistical significance indicate a positive linear correlation, a negative linear correlation, or no linear correlation between the variables caffeine intake and hours of sleep? What does this mean in context?Can you please figure out critical values are r=(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
- Can someone help me out with these questions.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 separatelyx y A random sample of two variables, x and y produced the following observations: 19 7 13 9 17 8 9 11 12 9 25 6 20 7 3. Test the significance of the slope of the correction model at a = 0.05 17 8 1. Develop a scatter plot of the data. Does the plot suggest a linear or nonlinear relationship betwe dependent and independent variables? 2. Compute the correlation coefficient between x and y (to.05 = 1.9432)
- Two pair misread values. A computer while calculating the correlation coefficient.between two variables x and y obtained the following constants : N=25, Ex=125, Ex=650, Ey-100, Ey=460, Exy=508. It was however later discovered at the time of checking that be had copied down two pairs of observations as (6, 14), (8, 6) while the correct values were (8, 12), (6, 8). Obtain the correct value of the correlation coefficient between x and y.A car salesperson wants to develop a method to predict the resale value of trucks based on the age of the truck. age of car Resale Value O 35000 1 32000 2 31250 3 29000 4 32350 S 25000 6 26000 7 23000 8 22000 9 19000 10 21500 11 20000 Use the data provided and excel to calculate the correlation coefficient. (Round your answer to 4 decimal places).GDP(in millions),X. CO2 emission 1.7. 552.6 1.2. 462.3 2.5. 475.4 2.8. 374.3 3.6. 748.5 2.2. 400.9 0.8. 253.0 1.5. 318.6 2.4. 496.8 5.9. 1180.6 A) Find the correlation coefficient and the coefficient of determination. Interpret the coefficient of determination. B) Graph the scatterplot and find the equation of the regression lining.
- Which of the following scatter plots that true linear association?The total expenses of a hospital (dependent variable) are related to many factors. One of these factors is the number of admissions to the hospital (independent variable). Using the summary output below to answer, what is the meaning (analysis) of the coefficient of determination? SUMMARY OUTPUT Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Statistics Regression Residual Total df 0.98706 0.974288 0.972145 8.106794 Coefficients 14 1 12 13 SS 29883.07 788.6412 30671.71 Standard Error Intercept 1.518053 Admissions 0.668591 OA) is the value of Expenses with one unit increase in Admissions 3.248929 0.031354 MS 29883.07 65.7201 t Stat 0.467247 21.32375 F 454.7022 P-value 0.648693 6.59E-11 Significance F 6.59E-11 Lower 95% -5.56075 0.600276 Upper 95% 8.59686 0.736907Listed below are systolic blood pressure measurements ( in mm Hg ) from the same woman. Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 a) Find the linear coefficient correlation r. What is the critical value in this case ?? ? b) Is there sufficient evidence to conclude that there is a linear correlation between right and left arm systolic blood pressure measurements? c) Find the equation of the regression line between right and left arm systolic. d) What proportion of left arm systolic can be explained by the right arm systolic ? e) Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg.
