Given the following : Y= 10 - 3 X, +5 X2- 2 X3 , based on a sample of 20 observations.SSR = 360, SSE = 150. Perform an F test for overall significance (critical value at 95% confidence 3.24)Select one:a. Reject the null hypothesis and conclude the overall model is insignificant2b. Reject the null hypothesis and conclude the overall model is significantO C. Fail to reject the null hypothesis and conclude the model is insignificant29O d. Fail to reject the null hypothesis and conclude the overall model is significant36FiniNext pageeNEXT ACTIVITYTIVITYJump to...Midterm 1

Given : There are 3 independent variables Degrees of freedom of Regression = number of independent…

Answered: Given the following : Y= 10-3X + 5 X2-…

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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Suppose researchers conducted a study to see if the mean body temperature for adultswas different from 98.6 degrees Fahrenheit. For this study, they took a random sampleof 25 healthy adults and found a mean body temperature of 98.2 degrees Fahrenheit forthe sample with a standard deviation of 0.6 degrees. The temperatures of the sampleparticipants were unimodal and symmetric.a. Write the null hypothesis and alternative hypothesis and define your parameter.b. Show that the necessary conditions (Randomization Condition, 10% Condition,Nearly Normal Condition) are satisfied to perform a hypothesis test. Brieflyexplain how each condition is satisfied.c. Perform the hypothesis test and find the P-value. (To show your work: Writedown which calculator you are using and what values you are entering into thecalculator.)d. Is there strong evidence that the mean body temperature is different than 98.6degrees? Briefly explain how you know.
H1.
Use the set of points to compute the following. The slope of the regression line for this data is computed to be b, =0.1369762, and the standard error of b, is computed as sS,=0.1179499. 14 18 3 17 15 6 12 y 10 12 9. 10 14 11 10 Send data to Excel Part: 0 / 3 Part 1 of 3 Find the critical value for a 99% confidence interval for and round the answer to three decimal places. The critical value for a 99% confidence interval is
The data for a random sample of six paired observations are shown in the table. a. Calculatex and s b. Express μ in terms of μ, and μ₂- c. Form a 90% confidence interval for Hd. d. Test the null hypothesis Ho: H = 0 against the alternative hypothesis H₂: #0. Use α=0.10. a. Calculate the difference between each pair of observations by subtracting observation from observation 1. Find X- (Round to two decimal places as needed.) (-) Pair 1 2 5 6 Population 1 Sample (Observation 1) 5 12 11 6 3 3 Population 2 Sample (Observation 2) 3 Q
1: Two random samples taken from two normal populations yielded the following information: Sample size nz = 9 Sample variance s? = 45 Sample 1 2 n2 = 31 %3D %3D iii. Perform the test the hypotheses Ho: of = ož vs. H1: o? # ož at the 5% level of significance.
Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple linear regression model holding the confidence level constant. Let Width (C.I) = the width of the confidence interval for the average value y for a given value of x, and Width (P.I) = the width of the prediction interval for a single value y for a given value of x. Which of the following statements is true? Width (C.I) = 0.5 Width (P.I) Width (C.I) = Width (P.I) Width (C.I) > Width (P.I) Width (C.I) < Width (P.I)
10 11 12 13 14 15 16 Use a significance level of a=0.05 to test the claim that u = 19.6. The sample data consists of 10 scores for which x =20.1 and s=4.1. State the null and %3D alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusions abcut the clalm. do H:H=19.6 H:Hz 19.6 O Test statistic: t=0.3856. P-Value: P=0.7087, Reject H. : u = 19.6. Since P>a, there is sufficient evidence to support the claim that the mean is different from 19.6. H :µ=20.1 H: Hz 20.1 O Test statistic: t= 20.1. P-Value: P=0.7087. Accept H: u = 20.1. Since P>a, there is not sufficient evidence to support the claim that the mean is different from 20.1. Ho: H= 19.6 H: uz 19.6 Submit Assignment Continue 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility DII & %24 7 t e f
Consider the following two confidence intervals for B₁: 90% confidence interval: [0.49, 29.51] 95% confidence interval: [-2.29, 32.29] You want to test the null hypothesis that B₁ = 0 against the alternative hypothesis that ß₁ ‡ 0. Which of the following is true? Select all that apply. You reject the null hypothesis at the 5% significance level You fail to reject the null hypothesis at the 10% significance level. You fail to reject the null hypothesis at the 5% significance level You reject the null hypothesis at the 10% significance level
Mary, a Javelin thrower, claims that her average throw ıs б 1 meters. Ďunng a practice session, Mary has a sample thịrow mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary's mean throw is less than 61 meters? Accept or reject the hypothesis given the sample data below. Ho : μ-61 meters; Ha : , K 61 meters . α-0.01 (significance level) . Zoー-1.99 p0.0233 Select the correct answer below O Reject the null hypothesis because |-199 > 0.01. O Do not reject the null hypothesis because |-1.990.01 O Reject the null hypothesis because the p-value 0.0233 is greater than the significance level a 0.01. O Do not reject the null hypothesis because the value of z is negative. O Do not reject the null hypothesis because the p-value 0.0233 is greater than the significance level α 0.01.
Given two independent random samples with the following results: n1=10x‾1=89s1=19�1=10�‾1=89�1=19 n2=17x‾2=128s2=28�2=17�‾2=128�2=28 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
The data from exercise 3 follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation is = 7.6 + .9x. What is the value of the standard error of the estimate (to 4 decimals)? What is the value of the t test statistic (to 2 decimals)? What is the p-value? Use Table 1 of Appendix B.Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 3 What is your conclusion ( = .05)?SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 4 Use the F test to test for a significant relationship. Use = .05.Compute the value of the F test statistic (to 2 decimals). What is the p-value?Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6 What is your conclusion?SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists…
You're fired! ~ Suppose that in a random sample of 252 employed Americans, there are 38 individuals who say that they would fire their boss if they could. Round all calculated values in this problem to 4 decimal places. 1. The value 38/252 = 0.1508 is a Statistic We want to use the information from the sample to conduct a hypothesis test to determine if fewer than 19% of employed Americans would fire their boss if they could. 2. Choose the null and alternative hypotheses for this test. Use appropriate notation. ОА. Но : р %3D 0.19, На : р 0.19 A 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? А. 38 В. 10 С. 20 D. 67 ОЕ. 53 OF. None of the above

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