0 Question 3 v You intend to conduct a goodness-of-fit test for a multinomial distribution with 8 categories. You collect data from 61 subjects. What are the degrees of freedom for the x2 distribution for this test? d.f. = The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was \"What do you think are the chances you will be married in the next 10 years?" Here is a two-way table of the responses by gender: \"muss! Some chance but probably not A 50-50 Chance A good chance Almost certain 1190 766 a. How many individuals are described in this table? b. How many females were among the respondents? c. The percent of females among the respondents was about %. d. Your percent from the previous exercise is part of O the marginal distribution of opinion about marriage. 0 the conditional distribution of sex among adolescents with a given opinion. O the marginal distribution of sex. e. What percent of females thought that they were almost certain to be married in the next 10 years? % f. Your percent from the previous exercise is part of O the conditional distribution of opinion about marriage among women. O the marginal distribution of opinion about marriage. O the conditional distribution of sex among those who thought they were almost certain to be married. 0 Question 6 v At the beginning of the semester we collected some data from you. Two of the questions on the survey were about gender and whether or not you have equal, more, or less energy in the afternoon compared to the morning. Below are the results. Assuming that gender and energy levels are not associated, what is the expected value for the number of males who have equal energy in the afternoon as the morning? You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho :pA = 0.5; p3 = 0.1; p0 = 0.1; pp = 0.3 Com- lete the table. Re-ort all answers accurate to three decimal places. Observed Expected \"S \"E E-E What is the chi-square test-statistic for this data? (2 decimal places) 2 X : What is the P-Value? (3 decimal places) P-Value = For significance level alpha 0.1 , What would be the conclusion of this hypothesis test? 0 Fail to reject the Null Hypothesis 0 Reject the Null Hypothesis Question 9 A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (3) and number of sit ups a person can do (3;). The results of the regression were: y=ax+b a=l.115 b=26.761 r2=0.790321 r=0.889 Use this to predict the number of sit ups a person who watches 14 hours of TV can do, and please round your answer to a whole number. Help 0 Question 18 v Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). The equation is 3} = x + Interpret the slope: O For each additional year, the annual high temperature will increase by 0.77 degrees on average. 0 For each additional 33.5 years, the annual high temperature will increase by 1 degree on average. 0 For each additional 0.77 years, the annual high temperature will increase by 1 degree on average. O For each additional year, the annual high temperature will increase by 33.5 degrees on average. 0 Question 19 v Run a regression analysis on the following data set, where y is the final grade in a math class and a: is the average number of hours the student spent workin- on math each week. hours/week Grade X y '- State the regression equation with constants accurate to 2 decimal places. 3? = x + What is the predicted value for the final grade when a student spends an average of 6 hours each week on math? Round to 2 decimal places. Question 2 You are conducting a multinomial hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Squared Category Expected Frequency Frequency Pearson Residual A 17 B 18 C 22 D 25 E 12 What is the chi-square test-statistic for this data? x - =