A regression model to predict Y, the state burglary rate per 100,000 people, used the following four state predictors: X1 = median age,X2 = number of bankruptcies per 1,000 population, X3 = federal expenditures per capita (a leading predictor), and X4 = high schoolgraduation percentage.Click here for the Excel Data File(a) Using the sample size of 45 people, calculate the tcalc and p-value in the table given below. (Negative values should be indicatedby a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.)PredictorInterceptAgeMedCoefficientSEtcalcp-value4,641.0430798.0634-28.863012.4684Bankrupt20.160412.1079FedSpendHSGrad%-0.01810.0181-30.31967.1136(b-1) What is the critical value of Student's tin Appendix D for a two-tailed test at a = .01? (Round your answer to 3 decimal places.)-value =

a) The number of independent variables is 4. The sample size n is 45. The degrees of freedom is…

Answered: A regression model to predict Y, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude Temperature 2 55 a. Find the explained variation. 8 40 10370.30 (Round to two decimal places as needed.) b. Find the unexplained variation. (Round to five decimal places as needed.) 13 25 20 - 3 28 - 26 31 41 34 - 53
What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not? Show your work.
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 10 14 19 29 31 33 D Temperature 55 31 27 - 1 - 27 - 41 - 54 a. Find the explained variation. (Round to two decimal places as needed.) b. Find the unexplained variation. (Round to five decimal places as needed.) c. Find the indicated prediction interval. °F
A paper described a study that examined whether stress accelerates aging at a cellular level. The accompanying data on a measure of perceived stress (x) and telomere length (y) were read from a scatterplot that appeared in the paper. Telomere length is a measure of cell longevity. Perceivedstress Telomerelength Perceivedstress Telomerelength 5 0.93 20 1.19 6 0.94 20 0.95 6 0.96 20 0.91 7 0.92 21 0.95 10 1.14 21 1.2 11 1.03 21 1.08 12 0.92 22 1.11 13 1.06 22 1.23 14 0.99 22 0.89 14 0.9 23 1.27 15 1.16 24 0.94 15 1.07 24 1.08 15 1.09 25 1.2 17 0.95 26 0.98 17 0.93 27 1.16 17 1.11 27 1.25 18 1.01 28 1 18 1.07 29 1.22 19 1.15 33 0.9 (a) Compute the equation of the least-squares line. (Round your answer to four decimal places.)y = (b) What is the value of r2? (Round your answer to four decimal places.)r2 =
Assuming the lowest decile of men receive an average of $800/month in Social Security, while the highest decile receive $2200/month in Social Security how much does each receive (on average) during their years in retirement. Use the chart called: Predictive Years of Receiving Social Security Benefits. Also use the born in 1940 data.
A study sought to demonstrate that soy beans inoculated with nitrogen-fixing bacteria yield more. This assumption was based on the fact that plants need nitrogen to manufacture vital proteins and amino acids and that nitrogen-fixing bacteria would make more of this substance available to plants, increasing their size and yield. The plant yield as measured by pod weight for each plant is given in the table. Determine if the mean pod weight exceeds the mean of uninoculated plants, 1.084 g. Alpha = 0.10 1.76 1.45 1.03 1.53 2.34 1.96 1.79 1.21
The null hypothesis: H , :0 The alternative hypothesis: H :0 Н 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the claim that the mean annual income of teachers from Utah is greater than or equal to the mean annual income of teachers from Oregon? Yes No
The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1-year-old Golden Comets is 5.1 eggs/week. Sarah has 35 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 5.4 eggs/day. Sarah wants to determine whether the mean laying rate u for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be o = 2.0 eggs/day. i. State the appropriate null and alternate hypotheses. ii. Compute the value of the test statistic. iii. State a conclusion. Use the a= 0.05 level of significance.
A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strength of nine randomly selected casts (in psi). 3970, 4100, 3100, 3200, 2950, 3820, 4100, 4050, 3470 Compute the mean, median and mode strength of the concrete (in psi).
The Great Plains Railroad is interested in studying how fuel consumption is related to the number of railcars for its trains on a certain route between Oklahoma City and Omaha. A random sample of 10 trains was taken. A residual plot and the output from the regression analysis for these data are shown in the attached picture. A) What is the actual fuel consumption for a fitted value of 102? B) What is the predicted fuel consumption for 100 railcars? Show your work. C) What is the value of the correlation coefficient for the sample? Interpret this value.
The weight and systolic blood pressure of 26 randomly selected males in the age group 25 – 30 are shown below. Assume that weight and blood pressure (BP) are jointly normally distributed. a. Find a regression line relating systolic blood pressure to weight. b. Estimate the correlation coefﬁcient. c. Test the significance of the regression coefficient (Use the Variance Analysis Table) d. Work in two ways using manuals and statistical applications (analyze the results of both)
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, u, is now less than 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H. Ho O

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