(4) The coefficient of correlation between X and Y is and o o2 = 114 where Z = 3X -4Y. Then the value of the constant a is 2. От OF = a, o = 4a, and
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- A correlation between two variables is spurious when the correlation disappears after adding a theoretically unrelated variable to the analysis. O TrueO FalseThe correlation between the two variables of interest is 0.81, which is significant at the 0.0337 level. This means ______. Group of answer choices 1.that the null hypothesis is rejected 2.the research hypothesis is rejected 3.that the null hypothesis is accepted 4.that the null hypothesis cannot be determinedHow many pairs of observations must be included in a sample so that an observed correlation coefficientof value 0.42 shall have calculated value of t is equal to 2.72?
- A correlation coefficient of .85 is co sidereal strong. True, false, neither or unable to determine. See attached.How do I calculate the correlation coefficient from the information provided in the attached image?Compute the correlation coefficient between the temperatures of the left and right feet. Round the answer to at least three decimal places.
- Suppose that X1, ..., Xn are random variables such that the variance of each variable is 1 and the correlation between each pair of different variables is 1/4. Determine Var (X1 + ...+Xn).An urn contains 10 white balls and 8 red balls. 2 balls are selected at random. Let X denote the number of red balls drawn and let Y denote the number of white balls drawn. Find the correlation coefficient between X and Y.It is about the differantial equations...
- If the null hypothesis is true in a test of the Pearson’s correlation between X and Y, then __________. a. higher scores of X are paired with higher scores of Y b. none of mentioned here c. higher scores of X are paired with low and high scores of Y d. higher scores of X are paired with lower scores of Y e. lower scores of X are paired with higher scores of YTwo random variables X = (1,2) and Y= (-2,-1] are equiprobable and independent. Determine the correlation factor r(X,Y),A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?