Determine the regression equation for the data. Round the final values to three significant digits, if necessary.Ten students in a graduate program were randomly selected. The following data represent their grade point averages (GPAs) at the beginning of the year (x) versus their GPAs at the end of the year (y). Show all work below. 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0  

Provide an appropriate response.A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows.The are used to represent the probabilities in the different cells so, for example, the represents and the represents True or false, is equal this can be interpreted as follows: 24% of the women who voted in this election voted Republican?

Find the indicated probability by using the general addition rule.Of the 91 people who answered “yes” to a question, 5 were male. Of the 81 people who answered “no” to the question, 13 were male. If one person is selected at random from the group, what is the probability that the person answered “yes” or was male?

Find the indicated probability by using the complementation rule.The age distribution of students at a community college is given below. Age (years)Number of students (f) 1456A student from the community college is selected at random. Find the probability that the student is 21 years or over. Give your answer as a decimal rounded to three decimal places.

Find the indicated probability by using the general addition rule.A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

Provide an appropriate response.A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows.The are used to represent the probabilities in the different cells so, for example, the represents and the represents True or false, is equal this can be interpreted as follows: 24% of the people who voted in this election were women who voted Republican?

Identify potential outliers, if any, for the given data in #14 and #15.The weekly salaries (in dollars) of sixteen government workers are listed below.

Find the mean of the random variable.The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Round the answer to three decimal places when necessary.

Find the specified probability.Use the special addition rule and the following probability distribution to determine P(6 < X ≤ 8). x 5 6 7 8 9 10 11 P(X = x) 0.05 0.05 0.20 0.15 0.15 0.10 0.30

Provide an appropriate response.For which of the following sets of data points can you reasonably determine a regression line? 1) 2) ​ ​ 3) 4) ​