An agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform a t testfor the slope to determine if a significant linear relationship between the size and the rent exists.a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent?b. Construct a 95% confidence interval estimate of the population slope, ₁.Click the icon to view the data.a. Determine the hypotheses for the test. Choose the correct answer below.A. Ho: Po=0H: Bo#0O C. Ho: B₁ ≤0H₁: B₁>0Find the test statistic.tSTAT= (Round to two decimal places as needed.)What is the p-value?p-value(Round to three decimal places as needed.)Reach a decision.Ho. There isb. The 95% confidence interval is ≤₁ ≤|(Round to four decimal places as needed.)B. Ho: B₁ = 0H₁: B₁ #0D. Ho: ₁20H₁: B₁ <0evidence to conclude that there is a linear relationship between the size of the apartment and the monthly rent. Size and Rent DataSize (square feet)8501,4401,0851,2327181,4951,1267267009661,1001,2951,9851,3591,1751,2351,2451,2491,1608961,3711,0307459901,200Rent ($)1,9502,6002,2252,4751,9252,7252,6251,9351,9002,1252,4002,6503,3002,7752,3752,4252,0752,7002,1752,1752,6002,6252,2001,7752,775

From the information, given that Let X denotes the apartment size in square foot as independent…

Answered: An agent for a real estate company…

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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A cruise ship charges passengers $3 for a can of soda. Because of passenger complaints, the ship manager has decided to try out a plan with a lower price. He thinks that with a lower price, more cans will be sold, which would mean that the ship would still make a reasonable total profit. With the old pricing, the mean number of cans sold per passenger for a 10-day trip was 10.3 cans. Suppose μ represents the mean number of cans per passenger for the new pricing. What hypotheses should the ship manager test if he wants to determine if the mean number of cans sold is greater for the new pricing plan? O Ho: μ = 10.3 versus H₂: μ> 10.3 O Ho: μ = O Ho: μ = 10 versus Ha: μ 10.3
Select all true statements below (Multiple or none can be true). With a large, representative sample, the histogram of the sample data will follow the normal curve closely. If two lists of numbers have exactly the same average of 50 and SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists. Half of a list of numbers is always below its average. The median and average of a list of numbers are not necessarily close together.
light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
Which of the following research scenarios uses a two samples independent-measures t test? a. Examine the difference in self-esteem between student athletes and non-athletes. b. Evaluate the effectiveness of a pain reliever by measuring how much pain is reduced after taking the medication in a single group of people who rated pain, then took the drug and rated pain a second time. c. Test the effectiveness of a cholesterol medication by comparing cholesterol levels before and after the medication is administered to a single group. d. Calculating the z score for the highest X in the data set.
A business department is trying to determine if their program is competitive. They survey recent graduates from their program and compare their recent grads' starting salary to the national average of recent graduates ($48,000 a year). One-Sample Statistics Std. Std. Error Mean Deviation Mean I Incom 84 50,633.333 8,314.7474 1,100.3179 e 4 One-Sample Test Test Value = 48,000 %3D 95% Confidence Interval of the Mean Difference Sig. (2- tailed) Differenc df Lower Upper e Incom 2.144 83 .041 2,633.33 270.923 6,555.74 e 333 9. 28 a) What are the results of this analysis? Write an APA-style statement describing these data as though it were a research report. b) Do you think these results are practically significant? Why or why not? 1,537 words 3.
If you wanted to test, using a 5% significance level, whether a specific slope coefficient is equal to one, then you should Group of answer choices 1. check if the adjusted R2 is close to 1. 2. subtract 1 from the estimated coefficient, divide the difference by the standard error, and check if the resulting ratio is larger than 1.96. 3. add and subtract 1.96 from the slope and check if that interval includes 1. 4. see if the slope coefficient is between 0.95 and 1.05. In a multiple regression framework, the slope coefficient on the regressor X2i Group of answer choices 1. takes into account the scale of the error term. 2. is usually positive. 3. is measured in the units of Yi divided by units of X2i. 4. is larger than the coefficient on X1i.
Question 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that . The data suggest the populaton mean is significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the…
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?

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