( 60 pts) The results of a sample of 7 data points are presented…
QuestionAnswered step-by-step( 60 pts) The results of a sample of 7 data points are presented…( 60 pts) The results of a sample of 7 data points are presented below in terms of the Average Daily Temperature (oF) and the Average Monthly Precipitation (inches): Average Daily temperature x 86 81 83 89 80 74 64Average Monthly Precipitation y 3.4 1.8 3.5 3.6 3.7 1.5 0.2 (10 pts) Draw a scatter plot (5 pts) Compute the correlation coefficient (10 pts) State the hypothesis and test the correlation significance at a = 0.01(5 pts) Determine the regression line equation(10 pts) Plot the regression line on the scatter plot (on same graph)(10 pts) Calculate the standard error of estimate(10 pts) Find the 95% prediction interval for the 95oF average daily temperature (20 pts) A researcher claims that the standard deviation of the ages of cats is greater than the standard deviation of dogs who are owned by families in a large city. A randomly selected sample of 29 cats has a standard deviation of 3.5 years, and a random sample of 16 dogs has a standard deviation of 2.7 years. Is the researcher correct at a = 0.05. (20 pts) A composition teacher wishes to see whether a new grammar program will reduce the number of grammatical errors her students make when writing a two page essay. The data are shown here. At a = 0.025, can it be concluded that the numbers of errors has been reduced? Student 1 2 3 4 5 6Errors Before 12 9 0 5 4 3Errors After 9 6 1 3 2 3 MathStatistics and ProbabilityMATHEMATIC STA2300Share Question
