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.
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- Part I +Part Il (STAT101 Firnal Exam) > Firial Exam > STAT 1:01.04 , bry=-0.37, bya =-0.75 Find Karl person's coefficient of correlation using regression coefficient الجواب NEXT ACTIVITY PREVIOUS ACT Announce >> ONLINE 23 3r %24 & 50 67 7 V 8 A 99 S- DI F1 GY V) BY N MQ 1 If X is a random variable with distribution X: 0 1 2 3 P(X): 1111 44 44 Find the mean, Variance and standard deviation. Q 2 If X is a random variable with distribution X: 0 12 3 4 P(X): 0 K 2K 3K 4K Explain the following: (i) For which value of K, P(X) is probability mass function? (ii) Find the following probabilities: (a) P(1 ≤ X < 4). (b) P(2 < X < 4). Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (²) and standard deviation (o) of the numbers on the balls. Q4 A special six-sided die is made in which 2 sides have 6 spots, 3 sides have 4 spots, and 1 side has 1 spot. If the die is rolled, find the expected value of the number of spots that will occur. Q5 Let X-B(4,0.6). Find the following (i) P(X = 2) (ii) P(1 < X < 4) (iii) Also find mean and variance. Q6…(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
- A sample of 30 ordered pairs produces a linear correlation coefficient of r-0.026 Which of the following statements would be true? No regression line could be calculated from these ordered pairs Although no linear correlation exists, there might be a strong non-linear correlation A negative linear correlation exists A positive linear correlation exists The regression line would not pass through the point (x, y)In a trivariate distribution the simple coefficient of correlation are as follows if r12 = 0.76, rı3= 0.75 and r²3= 0.71 calculate the coefficient of partial correlation r 12.3UTMUTM 3. The thickness of a road is normally distributed with standard deviation 5.8 cm. A random sample of 15 roads were taken. If the probability that the sample mean road thickness is at least 10.2 cm is 0.82, what is the average thickness of all the roads? UTM UTMUT UTM
- Q5/A// Determine the correlation Company A В C coefficient for the data X 73 30 21 18 Y 7 8. 9. D/ID(d) Perfect negative linear.corelation 60--1 (g) No linear correlation (linearly uncorrelated) Sep 5-3:11 PM Remember the stork example? Correlation does not always mean causation! Two variables may be strongly correlated because they are both variables, called lurking or confounding variables. June 15, 2020-- Research shows bald men are more llkely to die after they get the coronavirus than their hairier counterparts Since the vtus emerged in China, researchers have noticed a higher incidence of death Telegraph in England. Jn 15 2020 -age bald men reported The -ma >Coronavirus ticws Pta wwe.datymat.co.uknews/articie-854804. Coronavina-study-daims.nomt The Real Cause of Polio! Polio Rates / Ice Cream Sales 1949 0000 ke Creamm Nonth In the late 1940s, before there was a polio vaccine, public health experts In America noted that polio cases increased in step with the consumption of ice cream and soft drinks, Eliminating such treats was even recommended as part of an anti-polio diet. It…Which of the following scatter plots that true linear association?
- The paired data below show the Coursework marks of 6 randomly selected students from a statistics course at UWI and their Final Exam marks in the same course. Coursework Mark, x Final Exam Mark, y > x yresult summary (result). Call: 1m (formula y x) Residuals: 1 A 27 22 B 28 34 A linear regression equation was found using R, and the output is shown below. 2 3 4 -7.5563 3.5822 0.3659 3.3830 -1.7252 1.9509 Student Coefficients: Estimate Std. Error t value Pr (>t|) (Intercept) 6.2964 4.6774 1.346 0.24949 0.1706 5.048 0.00724 ** 0.8615 C с 12 17 D 41 45 Signif. codes: 0 **** 0.001 **0.01 0.05 0.11 Residual standard error: 4.698 on 4 degrees of freedom Multiple R-squared: 0.8643, Adjusted R-squared: 0.8304 F-statistic: 25.49 on 1 and 4 DF, p-value: 0.007239 E 33 33 F 9 16 a) Write out the model for the simple linear regression. Define all terms used in the model. b) What are the values of the intercept and the slope of the regression equation? c) Write out the regression equation. d) A UWI…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 0.736907
