We use the Durbin-Watson d test to determine if there exists serial correlation problem. Which of the following is NOT correct about the test statistic d?
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A: Given that: ρ1=0.85 p1 = 0.03 ρ2=0.63 p2 = 0.005
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- The following data relates to the mean and standard deviation of the price of two shares in the stock exchange and the coefficient of correlation 0.48 Share mean S.D Company A 44 5.60 Company B 58 6.30 Find the most likely price of share A corresponding to the price of Rs 60of share B. what will statistician prefer between covariance and correlation coefficient. Explain it with reason. b) A lot contains twenty missiles, two are selected at random and fired without replacing the first. If the lot contains five defective missiles that will not fire then what is the probability that both missiles are defective? c) Three far coins are tossed and the following events are defined : A: {observe at least one head} B: {observe exactly two heads} C: {observe exactly two tails} D: {observe at most one head} i. Sum the probabilities of the appropriate simple events to find: P(A), P(B), P(C), P(D), P(A B), P(A D), P(B C) and P(B D). ii. Use the formula of this section and your…The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ?(Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…Provide an interpretation for the following SPSS output: A researcher wanted to test the relationship between number of fries eaten per week and number of vegetables eaten per week by the sample. Number of times Number of times eat fries per eat vegetables week per week Number of times eat fries per Pearson Correlation 1 -.067 week Sig. (2-tailed) .005 N 1750 1750 Number of times eat Pearson Correlation -.067 1 vegetables per week Sig. (2-tailed) N .005 1750 1750 **Correlation is significant at the 0.01 level (2-tailed). Edit View Insert Format Tools Table 12pt v Paragraph
- If a coefficient is not statistically significant, what does that mean? 1 There is omitted variable bias. 2 None of these 3 The other variables are highly correlated with the dependent variable. 4 There is no multicollinearity. 5 The dependent variable is probably not influenced by the independent variable.Here are the choices:Chi-SquareCorrelationRegressionwill this be sufficient or is not sufficient evidence.
- 2) Researchers are interested in whether there is any relationship between a person's IQ (x- variable) and how long they live (y-variable). Answer the questions below by using the data provided. Show your work and use the back of the page if necessary. X Y 10 3 6. 6. 7 4 3 4 a) What type of statistical analysis would be most appropriate to use in this scenario? Please justify your answer. b) Please state the null and alternative hypotheses. c) Please report the results of your statistical analyses and make a decision about whether to reject or fail to reject the null hypothesis Use alpha = .05 (two-tailed). %3DWhat is the most accurate interpretation of a significant correlation of rs = -.55 between annual CO2 emissions and annual average temperature (ranked from hottest year to coldest year)? Increased CO2 emissions are associated with lower annual average temperature Increased CO2 emissions are associated with higher annual average temperature Increased CO2 emissions lead to higher annual average temperature Increased CO2 emissions lead to lower annual average temperature If we conducted a study with a small group of randomly selected first- year psychology students and found a Pearson’s r of -.39 between distance from home to university (measured in km) and class attendance, what could we say about the relationship in the population? University students who live far from their homes are less likely to attend class There is no relationship between distance between home and university with class attendance University students who live far from their homes are more likely to attend…The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01.
- What is the 1.test statistic and 2. p-value for this test statistics? The test is a two-tailed test.Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…