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- The weights (in pounds) of 66 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use alphaαequals=0.010.01. Weight, x 59205920 53205320 65006500 51005100 58405840 48004800 Variability in braking distance, y 1.761.76 1.921.92 1.911.91 1.591.59 1.691.69 1.501.50 find the critical value1. What is the most important predictor in terms of contribution to the dependent variable? 2. Which of the following is not a significant predictor at 5%? 3. Which of the following is the best predictor?andres asked if there is a relationship between the quality of sneakers worn by a sample of 20 volleyball players and their average number of point scored per game. he computed r= +.21 and immediately claimed he had evidence that better-quality sneakers are related to better performance (a) is his claim correct? why? (b) what are Ho and Ha? (c) with alpha=.05, what is rcrit ?
- #1 Of the following, which one is an observational study? measuring the average strength of a batch of metal by stressing some sample pieces until they deform Asking people for their opinion on the taste of a new cereal tracking the temperature in a city over a five year period Checking the effectiveness of a new headache medicine by giving one group the new medicine and one group acetaminophenThe Road Department is trying to see whether they should buy road treatments ( in tons) for storms based on the number of inches of snow for each recorded. Use Pearson r at alpha- 0.05 to test the hypothesis. ILLUSTRATE THE NORMAL CURVE inches in snow 1.5 1.7 3.7 2.8 4.6 2.4 3.1 2.9 3.6 4.2 3.1 number of tons 805 905 1235 1000 1302 998 1102 1305 1456 1600 1005A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients.
- A researcher is interested in hamster wheel-running activity during the summer versus the winter. He suspects that either the hamsters will run less during the winter to conserve energy or they will run more to keep warm. He records the activity of n = 16 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February. The data are collected, and the results show an average difference score of MDD = 3.8 and a sum of squares of SS = 522.15. What is the value for degrees of freedom for this repeated-measures t test? 47 15 50 16 What is the sample standard deviation (s) for the D scores? 1.48 5.9 522.15 34.81 What is the estimated standard error of the mean difference (sMDMD) for this study? 0.37 2.18 1.48 1.22A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45, SSY = 90. a) If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SSregression) and how much would not be predicted (SSresidual)? b) Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)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 consistent
- Ten observations were provided for a dependent variable y and two independent variables x1 and x2; for these data, SST = 15,189.8 and SSR = 14,056.9. (a) Compute R2. (Round your answer to three decimal places.) R2 = (b) Compute Ra2. (Round your answer to three decimal places.) Ra2 = (c) Does the estimated regression equation explain a large amount of the variability in the data? Explain. (For purposes of this exercise, consider an amount large if it is at least 55%. Round your answer to one decimal place.) , after adjusting for the number of independent variables in the model, we see that % of the variability in y has been accounted for.The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)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…