Use the given set of points to construct a 95% confidence interval for β1. No need to interpret the results. x 9 6 5 9 6 12 17 11 y 25 18 15 21 21 28 30 24
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Use the given set of points to construct a 95% confidence interval for β1. No need to interpret the results.
| x | 9 | 6 | 5 | 9 | 6 | 12 | 17 | 11 |
| y | 25 | 18 | 15 | 21 | 21 | 28 | 30 | 24 |
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- Suppose a data set of 4,000 observations (n - 4,000) was analyzed using OLS to examine the factors influencing students' college grade point averages. The regression results are as follows, with standard errors in parentheses: colgpa-1.550 +0.0010 sat-0.03 hspere-0.05 hsize +-0.007 haize (0.00) (0.00006) (0.0007) (0.01) (0.000) where colgpa- GPA in college sat score on the SAT exam hspere -percentile in high school graduating class haize size of graduating class, in hundreds 11-4,000 R-0.254 R²-0.253 -0.45 The predicted college GPA for someone who scored 1,120 on the SAT and graduated in the 27th percentile of his or her 700-person high school graduating class, is Suppose you would like to construct a 95% confidence interval around the expected college GPA for someone with aat 1,120, hapere 27, and haize 7. colga 1853+0.0010 sat (0,01) (0.0000) where colgpa-GPA in college sat0 sat-1,120 0.03 Asperc0-0.05 haize0+ 0.007 haize (0) (0000)A sample of freshman takes a reading comprehension test and their scores are summarized below. Sample scores: 16, 8, 8, 6, 9, 11, 13, 9, 10 a. if the mean for the general population on this test is m=12, can you conclude that this sample is significantly different from the population. Test with a=.05 b. Calculate a 90% confidence interval around your mean.Peggy constructed the 95 percent confidence interval (4.8,5.2)(4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy? A)Peggy’s claim is correct. B)Quincy’s claim is correct. C)Both Peggy’s claim and Quincy’s claim are correct. D)Neither Peggy’s claim nor Quincy’s claim is correct. E)There is not enough information to determine whether the claims are correct.
- Give a 99.9% confidence interval, for u1 H2 given the following information. 25, 1 = 2.21, s1 55, 72 = 2.45, s2 = 0.92 0.37s alt A college admissions officer sampled 120 entering freshmen and found that 42 of them scored more than 30 on the ACT. Construct a 95% confidence interval for the proportion of all freshmen at this college who scored more than 30 on the ACT. 9 a Z W S X 3 12889886HBE 7 e d $ C 4 UUD % f 5 t 6.0 g b fp y h n j 0 * m k alt р { ctri [ ? IAn Internet retailer would like to investigate the relationship between the amount of time in minutes a purchaser spends on its Web site and the amount of money he or she spends on an order. The table to the right shows the data from a random sample of 12 customers. Construct a 99% confidence interval for the regression slope. Construct a 99% confidence interval for the slope. LCL = and UCL = (Round to three decimal places as needed.) C Time 20 12 28 22 1 13 Order Size $71 $23 $93 $198 $54 $35 Time 5 37 8 37 25 8 Order Size $57 $360 $122 $161 $72 $248
- Can you do this problem?A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before After 5.0 6.8 6.3 2.5Echinacea is widely used as an herbal remedy for the common cold, but does it work? In a double-blind experiment, healthy volunteers agreed to be exposed to common-cold-causing rhinovirus type 39 and have their symptoms monitored. The volunteers were randomly assigned to take either a placebo or an echinacea supplement daily for 5 days following viral exposure. Among the 103 subjects taking a placebo, 88 developed a cold, whereas 44 of the 48 subjects taking echinacea 1 developed a cold.K A university would like to examine the relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Construct a 90% confidence interval for the regression slope. Construct a 90% confidence interval for the slope. LCL= and UCL= (Round to three decimal places as needed.) Rating Increase Rating Increase 17 $2400 14 $2000 18 8 22 $2600 14 $2700 $1800 16 $2100 $1600 15 $1900For the data set below, calculate r, r2, and a 95 percent confidence interval in r units. Then write a one- to two sentence conclusion statement that includes whether the null hypothesis was rejected or not and whether there is a strong /weak/no relationship. Assume a two tailed hypothesis and α = .05. Case 1 Case 2 Case 3 Case 4 Case 5 Case 6 X 1.05 1.15 1.30 2.00 1.75 1.00 Y 2 2 3 4 5 2K Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: -1.76 g/dLSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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