for advertising its products. The following table shows amounts of radio time (X, in minutes) anu the number of electrical appliances sold (Y) over the last six weeks. 25 18 32 21 35 29 Y 16 11 20 15 26 28 Calculate the coefficient of correlation between the two series.
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- 3. Find the linear correlation coefficient , r. Round to four decimal places .Q1 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 6% 5% -2% 10% 3% 8% -4%Stock Y 11% 7% 10% -2% 3% 5% -1% What is the correlation of returns on the two stocks? Please round your answer to the nearest hundredth.If there is a very strong correlation between two variables, then the correlation coefficient must beA. any value greater than 1.B. much smaller than 0, if the correlation is negative.C. much larger than 0, regardless of whether the correlation is negative or positive.D. None of these.
- The Pearson correlation statistic, r, is always greater than or equal to _____ and less than or equal to _____. Absolutely no association is present when r = ___. Between r = -0.56 and r = +0.46, the stronger correlation isWhat would be an example of an impossible correlation coefficient? In other words, give a value of r that would lead you to suspect that the researcher made a mistake.A researcher computes the correlation coefficient r =r= -0.2512 for an explanatory and response variable. What proportion of the changes in the response variables value is accounted for by the change in the explanatory variable's value? Give your answer to four decimal places
- Ten pairs of points yielded a correlation coefficient r of 0.790. If alpha=0.05 which of the following statements is correct if H0 : p =0? ( Do not calculate a t-value) 1. Because 0.790 is greater than 0.632, the null hypothesis is not rejected.2. Because 0.790 is greater than 0.602, the null hypothesis is not rejected.3. There is no correlation between the variables.4. Because 0.790 is greater than 0.632, the null hypothesis is rejected. Also, is the second value in the answers just randomly used or are they calculated? I don't understand what I am comparing.A set of n=5 pairs of X and Y values has SSx=16, SSy =4 and SP=2. For these data, what is the Pearson correlation?Question 8:Research at the University of Toledo indicates that 50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program? Test at the .05 level of significance.