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- Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week. Table :1 Hrs.Worked ( x ) No. of accidents( y ) 30 2 42 3 25 4 44 8 56 5In a sample of size200,the correlation coefficient is 0.45. Is thecorrelation coefficient is significant under the population. α=0.05For a correlation of -.64 between X and Y, each 1 _SD change in Zx corresponds to a predicted change of _____________SD in Zy.
- Show that the coefficient of determination is indeed equal to the square of the linear correlation coefficient (hence the nickname “r2”).Find the -coefficient of rank correlation. -coefficient of determination. value of y if x=11.Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show that correlation between Y1 + Y2 and Y2 + Y3 is equal to half. Whether correlation coefficient is zero or not
- In two sets of variables X and Y with 50 observations each, the following data were observed X = 10, SD of x = 3, y =6 , SD of x = 2 Co efficient correlation between X and Y is 0.3 . however on subsequent verification it was found that one value of X (=10) were in accurate and hence weeded out. With remaining 49 pairs of values, how is the original value of correlation coefficient affected.How 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 computer while calculating correlation coefficient between two variables X and Y from 25pairs of observation obtained the following results: n=25, 2X=125, EX2 = 650, Y=100,Y2= 460, 2XY=508. But on subsequent verification it was found that he had copied downtwo pairs as (6,14) and (8,6) while the correct values were (8,12) and (6,8). Obtain the correctvalue of correlation coefficient?
- Why does a correlation table have a diagonal line of 1s? 1 Because the sum of all correlation coefficients must equal one. 2 Because it’s the result of a dummy variable. 3 Because p-values cannot be greater than one. 4 None of these 5 Because it acts as a benchmark for all other correlation coefficients.A study conducted by students in an AP Psychology classat South Kent School in CT discovered a correlation of-0.38 between students’ hours of sleep (x) and GPAs (y).The scatterplot below displays the relationship. Whatconclusion can be reasonably drawn from these data? A) Students who get more sleep tend to earnhigher GPAs.B) If a student wishes to earn higher grades, he or sheshould get more sleep. C) Based on the pattern in the scatterplot and the cor-relation, these data indicate that as students sleep longer, they tend to earn lower GPAs. D) The scatterplot and the correlation coefficient contra-dict one another. E) The scatterplot shows two influential points thataffect the value of the correlation.Calculate the Pearson product-moment correlation coefficient, r, between these two sets of data: 1, 1, 2, 2, 2 4, 3, 3, 3, 4