Questions 1-1? are related to the following Below are the values for two variables x and 5? obtained from a sample of size 25. We want to build a regression equation based the sample data. jr=bn+hlx E x 49.3 3.9 22 5.2 39.2 3.4 23 4.2 29.4 4.9 29.3 2.3 24.3 3.1 23 3.1 49.1 12.3 23.3 2.3 23.5 2.2 41.4 9.5 33.2 13.3 33.4 3.2 25.2 3.4 32.3 19 13.3 4.2 43.3 3.9 35.2 9.4 59.2 12.1 39.4 2.2 42.3 9.2 33.5 2.2 39.3 19.3 34.3 2.5 22.5 2.1 22.2 3.2 32.4 2.2 32.3 9.1 29.4 3 49.1 3.3 33.4 19.4 13.3 4.3 43.4 9.2 3?.6 9.5 The sum product of x and y is, 9307.57 9695.39 10099.36 10520.17 2 The value in the numerator of the formula to compute the slope of the regression equation is, 455.474 474.452 494.221 514.813 3 The sum of squared x is, 2835.23 2726.18 2621.33 2520.51 4 The slope coefficient by is, 2.9384 3.1147 3.3016 3.4997 5 The intercept coefficient is, 9.8394 9.1106 8.4357 7.8108 6 The predicted value of y for x = 9.4 in the data set is, 45.44 42.46 39.69 37.09 7 The observed y in the data set associated with x = 9.4 is 35.7. The prediction error is, 1.26 -1.39 -1.53 -1.688 that!\" that!\" 10 that!\" 11 that!\" 12 that!\" 13 that!\" 14 that!\" Sum of prediction errors is, 0.00 -0.05 0.50 0.?2 Sum of squared errors [SSE] is. 1399.03 130?.50 1221.96 1142.02 The variance ofthe prediction error is. 42.394? 39.6212 3?.0292 34.606? On average the observed 5? deviate from the predicted y by, 6.085 5.15? 4.3?0 3.?041- Sum of squares total [531'] is, 3125.281 291641-58 2834.?22 2699.?35 Sum of squares regression [55R] is. 1629244- 1551.661 14??.T?2 140141-02 The fraction ofvariations in}? explained by x is: 0.541\"!- 0.5950 0.646? 0.?029 15 The x and y data are sample data from the population of X and Y to compute b, as an estimate of the population slope parameter 1. The sample statistic by is the estimator of the population parameter B1. The estimated measure of dispersion of the sample statistic by is, 0.7499 b 0.6520 0.5670 0.4930 16 The margin of error for a 95% confidence interval for B, is, a 1.0031 b 0.9119 0.8290 0.7536 17 To perform a hypothesis test with the null hypothesis Ho: B1 = 0, we need a test statistic. The test statistic for this hypothesis test is, a 5.5592 h 6.3173