STATISTICS

ANOVA, ANCOVA, REGRESSION, RSTUDIO

Directions: Answer the following questions inside the picture and choose the correct answer. Explain why it is the correct answer. All the details for the question is indicated in the picture for each number.

1.

Three strains of rats were studied under two environmental conditions for their performance in a maze test. The error scores for the 48 rats were recorded as follows: Environment Strain Bright Mixed Dull Free 28 12 33 83 101 94 22 23 36 14 3.3 56 25 10 41 76 122 83 36 22 58 35 23 Restricted 72 12 GO 89 136 120 48 93 35 126 38 153 25 31 83 110 64 128 91 19 99 118 140 At 0.01 level of significance, which of the following null hypothesis/hypotheses is/are rejected? I. There is no difference in error scores for different environment. II. There is no difference in error scores for different strains. III. The environments and strains of rats do not interact. a. I only b. II only c. Both I and II d. All of the above.Suppeon that we want to build a model that predicts the group memberhip of a hurricane, noher tropical (0) or non-tropical (1) bunked on the latitude of formation of the hurricane. The response variable is the binary variable Type. new (type of hurricane ] wod the predictor variable is First Lat (First Latitude). Using R. we build a model by applying the gim(] function. For the logistic regression model, we specify family . "binomial". The data is available at hepawluserpare bu-berlin.de/bags/200 2010 dats meta humansmum. The R code is Iset up filename # download file ay. file 10 2.05 4.09 3.21 0.571 3. 14 0.552 0.174 0.395 10 3.91 4.60 0-89 4.93 0.863 0-273 0. 617 10 6.31 9.79 7.46 1.74 7. 64 1.14 0.361 0.817 P method 1 : # 1 score 10 10.2 2 0.090112 Friedman kept Which of the following is the correct of the result of the data analysis using R? I The self esteem score was not statistically significantly different at the different time points during the diet IT The self esteem score was statistically significantly different at the same time points during the diet. III. The self esteem score was statistically significantly different at the different time points during the diet. a I only b. II only c. Both I and II d. III onlyIn normality test, it is possible to use a significant test comparing the sample distribution to a normal one in order to ascertain whether data show or not a serious deviation from normality. One of these methods used for normality test is Shapiro-Wilk's test. Which of the following is the correct hypotheses for normality test? Ho: Sample distribution is normal. a. #1: Sample distribution is non - normal. Ho: Sample distribution is non - normal. b. H: Sample distribution is normal. Ho: Sample has a normal distribution. " H, : Sample has a non - normal distribution. Ho: Sample has a non - normal distribution. d. H: Sample has a normal distribution.In ANCOVA, which of the following R code(s) can be used to test for assumptions? a. lm () b. ggnorm ( ) c. plot (density () ) d. All of the above