Question

Describe in a meaningful manner what the correlations, means and standard deviations, in the table below, convey about this class of 3015 students. (7) Variables Test 1 ASS1 Test 2 Mean SD Test 1 .49* .69* 68.53 17.19 ASS1 .38* 63.02 16.98 Test 2 61.11 20.22 Note. ASS1 = Assignment 1. Test 1, ASS 1, and Test 2 grades as a per cent. *p<.05.

Answer 1

Son the Correlation. If X and Y are two mondom variables. The correlation between x and r measures extent_of_linear_relationship between x and Y. Correlation between X and Y denoted by Sxycon be completed as; 5 (75-7)(y-7) Cov(x,y) 6х бу L 3 (0:-57J? 3 (9-3)? Cor(x,y) : Sat - - no nist where Cor(x,y): Covariance between xx. By : Standard deviation of x standard deviation of r. For the given table, Cor ( Test 1, ASSI) = 0.49 i.e. Extent of linear relationship of scores in Testt and Assigment i is 0.49 and Corc Testi, Testa) = 0.69 That is extent of lineer relationship between scores of Testi and Testa is 0.69 similarly cor ( ASSI, Testa) = 0.38 This indicates that extent of lingor relationship between Assignment i and Test a is 0.38. Scores (2) Mean: If x is a random variable with observations weer weg then mean of x by. Mean(x) = 12c; is given nis single value which is Mean gives the querage value_my representative_of_the whole data. - Here Mean ( Test 1) = 68.53 Mean ( ASSI) = 63.00 = 61.11 says that most of the values mound 68.53 says that most of the values around 63.02 saya that most of the values are around 61.14 9 Mean ( Test) This says that, most of the students scored around 68.53 in the test t, near around 63.02 in assignment 1 and 6.Lin Test 3. 6 CS scored with Camdannes

37 Standard Deviation: If x is a random variable with observation exh then: Standord deviation of x i-e. SD(x) is given by SDCX) = Z (xi-x2 تردلا را ni the spread more Standard deviation of random Variable measures of a random variable If spread is then standard deviation must be be large large and vice versa. Then in given table; SDC Test 1) = 17.19 SDCAS51) 1698 and SDC Test 2) = 20.32 From this we can say that score in Testy is less spread than score in Test a. That is marks scored by students in Testi from small interval as compared with interval of marks of for students for Assignment I done belongs interual Tests and small Test 3. compare is Testa The Seores a CS Scanned with CamScanner