Is a linear relationship between S1 and S2 appropriate? Justify your response.Is the role of S1 significant in predicting S2, at α = 0.001?What is the sample correlation between S1 and S2? To examine whether there is any association between the performances on the twotests, T1 and T2 (test T1 was conducted before T2), and whether T2 scores could bepredicted in terms of T1 scores. A random sample of 150 students in Statistics majorwas selected. Let the scores be denoted S1 and S2 for tests T1 and T2, respectively.The tests had different maximum points. The following outputs using R codes wereobtained.fit<-lm (S2~S1)summary(fit)onCall:Im (formula = S2 *S1)20253035404550Residuals:Score: S1Min1QMedian3QМаx-13.0214-3.09340.29522.937914.5996Coefficients:Estimate Std. Error t value Pr(>[t])(Intercept) 0.101522.510030.040.968S10.267230.0192113.91<2e-16 ***Signif. codes:O ***' 0.001 **' 0.01 (*' 0.05 '.' 0.1 '? 1Residual standard error: 4.472 on 148 degrees of freedomMultiple R-squared:F-statistic: 193.6 on 1 and 148 DF,0.5667, Adjusted R-squared:0.5638p-value: < 2.2e-16plot (fit$fitted,fit$residuals, xlab="fitted values", ylab="residuals")qqnorm (fit$residuals)Normal Q-Q Plotoo000000O Go agod0000 0.of2530354045-22fitted valuesTheoretical Quantilesesiduals15Score:Sample Quantiles091

Answered: Is a linear relationship between S1 and…

Is a linear relationship between S1 and S2 appropriate? Justify your response. Is the role of S1 significant in predicting S2, at α = 0.001? What is the sample correlation between S1 and S2?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Recall that small effects may be statistically significant if the samples are large. A study of small-business failures looked at 153 food-and-drink businesses. Of these, 107 were headed by men and 46 were headed by women. During a three-year period, 17 of the men's businesses and 7 of the women's businesses failed. (a) Find the proportions of failures for businesses headed by men (sample 1) and businesses headed by women (sample 2). These sample proportions are quite close to each other. p̂men = p̂women = Give the P-value for the z test of the hypothesis that the same proportion of women's and men's businesses fail. (Use the two-sided alternative.) The test is very far from being significant. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = (b) Now suppose that the same sample proportions came from a sample of 30 times as large. That is, 210 out of 1380 business headed by women and 510 out of 3210 businesses…
Two separate samples receive two different treatments. The first treatment group (N = 9) has a mean of 50 with SS = 710. The second treatment group (N = 6) has a mean of 60 with SS = 460. Is the second treatment group significantly larger than the first? What is the effect size?
For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether or not there is a linear relationship between household income and number of children. Part 1 (a) State the null and alternative hypotheses. Ho: II vs Ha: 44₁ :: p ₂ ^ P₁ p II :: P₁ A P₂ : 0 p
A researcher believes that more sleep can result in better reaction time. A random sample of adults were involved in the study, where the amount of sleep they got the previous night was recorded and their reaction time was measured the next morning using a standard test for reaction time . The data is given in the table below. At the alpha = 0.05 level of significance , test the researcher's claim that there is a negative linear correlation between sleep and reaction time. Round all results to three decimal places .
Find the critical value for a test for correlation with α = 0.01 for a sample size of 18.
In a sample of n=20 what would be the student's t test statistic for a correlation of r=0.400?
Among a random sample of the stat's census deciles (a small geographic unit), there is a -0.90 correlation (p=.50) between school truancy rates and the rates of alcohol sales to minors. How would you characterize the relationship between truancy and alcohol sales to minors? A. We cannot be confident that there is a relationship between the two variables. B. We have evidence that there is a strong, positive correlation between the two variables. C. We have evidence that there is a strong, negative correlation between the two variables. D. We have evidence that there is a weak, positive correlation between the two variables. E. We have evidence that there is a weak, negative correlation between the two variables.
It is assumed that standardized test scores should be correlated with students' classroom performance. One would expect that students who consistently perform well in the classroom (on tests, quizzes, etc.) would also perform well on a standardized test scored from 0-100 (with 100 indicating high achievement). A teacher decides to examine this hypothesis. At the end of the academic year, she collects the following data for her (admittedly small) class: Standardized test score Overall GPA 56 1.8 1 73 2.6 2 78 2.9 3 83 2.9 4 85 3.0 5 rows x 2 columns What is your best guess for the expected GPA of a student who scored a 88 on the standardized test? number (rtol=0.01, atol=0.0001) Determine a 95% confidence interval for the expected GPA of a student who scored a 76 on the standardized test. Ib number (rtol=0.01, atol=0.0001) ub number (rtol=0.01, atol=0.0001)
What is the interpretation of a Pearson's r correlation coefficient value of 0.8?
2. Recovering from surgery: A new postsurgical treatment was compared with a stan- dard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the a = 0.05 level. Treatment: Control: H₁: 12 18 (a) List the null and alternate hypetheses. Ho : (c) List the P-value. 13 23 (d) Make the comparison. 15 24 19 30 20 32 (b) List the distribution, the test statistic, the calculator program, and all input and output variables. 21 35 We reject Ho / We do not reject Ho (circle one) (e) State the final conclusion in the wording of the problem. 24 39
A researcher hypothesizes that there is a positive correlation between the hours spent studying and the final exam score. They collect data from 20 students and compute the Pearson correlation coefficient, r, to be 0.75. Using a significance level of 0.05, test the hypothesis that there is a significant correlation between the hours spent studying and the final exam score.