ASSIGNMENT- 4 STAT101 Student Full Name:..................................................... Student ID:............................................................... CRN No:.................................................................. Section-I State whether the following statements are True or False. (5 marks, 1 Mark each) 1- There may be some relationship between X and Y even though there is no linear correlation. 2- The graph of regression line is not effected by the outlier. 3- McNemar's for matched test is used for frequency counts from match pairs of nominal data. 4- When conducting a hypothesis test with chi-square analysis, the rejection region in a chi-square distribution is always in the upper or right tail. 5- In ANOVA, if the sum of squares for error is 400, the sum of squares for treatment is 180, then total sum of squares is 480. Section-II Circle the right answer from the answers given below. (5 marks, 1 Mark Each) 1. If r = 0.591 and n =5, then test statistics t is equal to a. 1.69 b.1. 45 c. 1. 269 d.0.91 2. To analyze data cross-classified in a contingency table, how are the degrees of freedom found? a. N-1 b. Number of Rows - Number of Columns c. (Number of Rows) x (Number of Columns) d. (Number of Rows - 1) x (Number of Columns - 1) 2 3. The value of McNemar test statistic for the discordant pairs b=10 and c= 15 is a. 0.46 b. 0.64 c. 0.69 d. 0.76 4- If the line of regression is given by 8X -10Y +66 = 0, then the values of b0 and b1 are respectively given by a. 6.6, 0.8 b. 6.6, 0.6 c. 0.6, 6.6 d. 0.8, 6.6 5- The distribution used to find test statistic for ANOVA is ... a. t-distribution. b. z-distribution. c. F-distribution. d. Chi-square distribution. Section-III Answer the following Essay Type Questions (15 marks, 5 Mark Each) 1- For the following data, calculate linear correlation coef r and also obtain the equation of the regression line: X: 1 2 3 4 5 Y: 1 1 2 2 4 2. The following figures shows the distribution of digits in number chosen at random from a mobile directory Digits: 0 Frequency: 1026 1 2 3 4 5 6 7 8 9 1107 997 966 1075 933 1107 972 964 853 Test whether the digits may be taken to occur equally frequently in the directory at 5% level of significance 3 3. Set up an analysis of variance table for the following data for three varieties of wheat each grown on 4 plots and state if the variety differences are significant. Plot of Per acre production data land Variety of Wheat X1 X2 X3 1 6 5 5 2 7 5 4 3 3 3 3 4 8 7 4