Use the table to calculate the 80 % prediction interval for y at zo = 20 3 22 4 23 29 27 29 8. 31
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Q: Calculate the 70th percentile of the data shown x 1 4.3 6 8 20.5 23.3 23.6 25 26.7 29.8
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Q: Calculate the 25th percentile of the data shown x 1.8 2.3 6.7 11.3 16.7 25.2 26.9 27.9
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The 80% prediction interval for the value of y at x0=20 is between and
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- b) Find the critical value of t for a 90% confidence interval with df=58.With α = .05, what is the critical t value for a one-tailed test with n = 15? a. t = 1.761 c. t = 2.145 b. t = 1.753 d. t = 2.131Use the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 3 decimal places.) Obs Assessed Floor Offices Entrances Age Freeway 1 1796 4790 4 2 8 0 2 1544 4720 3 2 12 0 3 2094 5940 4 2 2 0 4 1968 5720 4 2 34 1 5 1567 3660 3 2 38 1 6 1878 5000 4 2 31 1 7 949 2990 2 1 19 0 8 910 2610 2 1 48 0 9 1774 5650 4 2 42 0 10 1187 3570 2 1 4 1 11 1113 2930 3 2 15 1 12 671 1280 2 1 31 1 13 1678 4880 3 2 42 1 14 710 1620 1 2 35 1 15 678 1820 2 1 17 1 16 1585 4530 2 2 5 1 17 842 2570 2 1 13 0 18 1539 4690 2 2 45 0 19 433 1280 1 1 45 1 20 1268 4100 3 1 27 0 21 1251 3530 2 2 41 1 22 1094 3660 2 2 33 0 23 638 1110 1 2 50 1 24 999 2670 2 2 39 1 25 653 1100 1 1 20 1 26 1914 5810 4 3 17 0 27 772 2560 2 2 24 0 28 890 2340 3 1 5 0 29 1282 3690 2 2 15 1 30 1264 3580 3 2 27 0 31 1162 3610 2 1 8 1 32 1447 3960 3 2 17 0
- Consider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. Using the 68-95-99.7 rule, between what two values would approximately 95% of the observed responses, y, fall when x = 7?A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.264, P-value=0.063, and y=7.92−0.304x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=4. Use a 0.01 significance level. The best predicted value of y when x=4 is __ (Round to one decimal place as needed.)
- For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.228, P-value=0.111, and y=7.81−0.280x. Find the best predicted value of y(attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.10 significance level. The best predicted value of ywhen x=5 is nothing. (Round to one decimal place as needed.)Here is a bivariate data set.xy182425915011737106295223812246 Find the correlation coefficient and report it accurate to four decimal places. r =Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha=0.05 signifiance level. n=20, yhat=28.5+1.4x, and SEb1=0.65
- As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistentFor 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=5.9, r=−0.256, P-value=0.073, and y=7.73−0.285x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=6. Use a 0.01 significance level. The best predicted value of y when x=6 is?