Task 3 Using multiple regression, we can attempt to create an even better predictive model of dyslexia. a) By definition, dyslexia should be independent of children's motor skills. Calculate the simple linear regression of the dyslexia score (RAD) on the Motor Skills Test (Pegboardav). Is this independence indeed given? b) Now we want to test whether taking gender into account improves the prediction. improves the prediction. For this, the variable has to be coded appropriately. In the data set the variable "sex" with the values " m " and "f" has already been converted into the new variable "sex coded" with the values " 0 " (m) and " f " (f). with the values " 0 " (male) and " 1 " (female). Calculate the correlation between gender (sex coded) and dyslexia (RAD). c) Now calculate the multiple regression of the dyslexia score (RAD) on the vocabulary test (BPVT std) and gender (sex coded) and state the resulting regression equation. Note: In R, you also compute multiple regression using the lm () command, by specifying multiple predictors (connected with a+ ") as arguments of the function Im() instead of one predictor. arguments of the im() function. d) Are the predictions of this extended model better or worse than those of the simple linear model? Whether the results provide sufficient evidence to Conclude that the extended model resolves significantly more variance, we cannot answer at this point Background information for task 2 and 3 . For this assignment you will use the data set of a real study on the topic of Dyslexia. You can download the dataset on myPFH: "EA Statistics 1. Descriptive Procedures - The Linear Model - Dyslexa Data Set." Unzip the zipArchive open the RData file by going into R-Studio to Fle (top left) > Open File and select the BData file. The word "dyslexia" comes from Greek and means "bad way of speaking". way of speaking". The term describes problems with reading and understanding words or texts with normal or texts with normal vision and hearing of the affected person. Dyslexia usually results from a weakness in processing language information. Both physiological and emvironmental factors can contribute to the development of dyslexia.Dyslexia leads to difficulties in learning to read, write, and spell. spelling, In some cases, short-term memory, math skills, concentration, and other skills are impaired.Approximately,5 to 17% of the total population is affected by dyslexia in varying forms and degrees of severity. Dyslexia is independent of a person's intelligence. person. It is also not a matter of lack of motivation, an emotional disorder or a perceptual disorder. Dyslexia can be largely remedied by special learning support and compensatory strategies. remedied by special learning support and compensatory strategies. However, this requires early diagnosis. The present data set contains data from 34 preschool children who were examined at two two measurement points. The aim of the study is to predict whether a child will will develop dyslexia or not. Edit chapter 11 of the swirl course "R Programming". You will find instructions in the assignments of the distance learning course "Descriptive Methods - Basics". It is not necessary to reinstall the package and the course. Just download the package swirl (command "library(swirl)") and then start swirl (command "swirl(0"). At the end of the chapter you will again get a code word. Type this code word in your answer document. Task 3 Using multiple regression, we can attempt to create an even better predictive model of dyslexia. a) By definition, dyslexia should be independent of children's motor skills. Calculate the simple linear regression of the dyslexia score (RAD) on the Motor Skills Test (Pegboardav). Is this independence indeed given? b) Now we want to test whether taking gender into account improves the prediction. improves the prediction. For this, the variable has to be coded appropriately. In the data set the variable "sex" with the values " m " and "f" has already been converted into the new variable "sex coded" with the values " 0 " (m) and " f " (f). with the values " 0 " (male) and " 1 " (female). Calculate the correlation between gender (sex coded) and dyslexia (RAD). c) Now calculate the multiple regression of the dyslexia score (RAD) on the vocabulary test (BPVT std) and gender (sex coded) and state the resulting regression equation. Note: In R, you also compute multiple regression using the lm () command, by specifying multiple predictors (connected with a+ ") as arguments of the function Im() instead of one predictor. arguments of the im() function. d) Are the predictions of this extended model better or worse than those of the simple linear model? Whether the results provide sufficient evidence to Conclude that the extended model resolves significantly more variance, we cannot answer at this point Background information for task 2 and 3 . For this assignment you will use the data set of a real study on the topic of Dyslexia. You can download the dataset on myPFH: "EA Statistics 1. Descriptive Procedures - The Linear Model - Dyslexa Data Set." Unzip the zipArchive open the RData file by going into R-Studio to Fle (top left) > Open File and select the BData file. The word "dyslexia" comes from Greek and means "bad way of speaking". way of speaking". The term describes problems with reading and understanding words or texts with normal or texts with normal vision and hearing of the affected person. Dyslexia usually results from a weakness in processing language information. Both physiological and emvironmental factors can contribute to the development of dyslexia.Dyslexia leads to difficulties in learning to read, write, and spell. spelling, In some cases, short-term memory, math skills, concentration, and other skills are impaired.Approximately,5 to 17% of the total population is affected by dyslexia in varying forms and degrees of severity. Dyslexia is independent of a person's intelligence. person. It is also not a matter of lack of motivation, an emotional disorder or a perceptual disorder. Dyslexia can be largely remedied by special learning support and compensatory strategies. remedied by special learning support and compensatory strategies. However, this requires early diagnosis. The present data set contains data from 34 preschool children who were examined at two two measurement points. The aim of the study is to predict whether a child will will develop dyslexia or not. Edit chapter 11 of the swirl course "R Programming". You will find instructions in the assignments of the distance learning course "Descriptive Methods - Basics". It is not necessary to reinstall the package and the course. Just download the package swirl (command "library(swirl)") and then start swirl (command "swirl(0"). At the end of the chapter you will again get a code word. Type this code word in your answer document