A data set includes weights of garbage discarded in one week from 62 The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of a = 0.05. iniont ?
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- 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 =You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25 Ho: ρ = 0Ha: ρ > 0 1/The p-value leads to a decision to Reject Ho Do Not Reject Ho Accept Ho 2/The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. please choose correct answer in each…To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 19 29 21 26 26 19 24 32 24 27 25 16 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient…
- The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. Best Actor (years) A. 70- 20+ CHIT • 20 70 Best Actress (years) The linear correlation coefficient is r = (Round to three decimal places as needed.) B. Best Actor (years) 70- 20- IDI ... ● 20 70 Best Actress (years) Best Actress 28 30 Best Actor 41 37 O Best Actor (years) Print 70- 20+ Best Actresses and Best Actors 29 61 33 32 36 43 49 50 20 70 Best Actress (years) 46 64 29 60 23 53 40 56 Done 43 43 57 32 n X Best Actor (years) 70- 20+ Mid 18 ● ● 20 70 Best…For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r= 0.846. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. .... a. Is there a linear correlation between chest size and weight? A. No, because the absolute value of the test statistic exceeds the critical value of 0.707. B. Yes, because the absolute value of the test statistic exceeds the critical value of 0.707. C. Yes, because the test statistic falls between the critical values of - 0.707 and 0.707. D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between…A data set contains information on the grams of fat and number of calories in 28 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.53. Calculate the p-value for the test of significance.
- From the list below of the data being collected, identify which data would be considered variable data: Select ALL correct answers. Door closing speed at Honda Time before a call is answered at a call center Number of mistakes/miss-information given per call at a call center Percentage of medical bills with more than one defect Number of defects on one medical bill Weight of a golf ball Meal delivery time at a restaurant Number of orders with incorrect products per every 100 sampled at Amazon NEXT QUESTION From the list below of the data being collected, identify which data would be considered attribute data: Select ALL correct answers. Door closing speed at Honda Time before a call is answered at a call center Number of mistakes/miss-information given per call at a call center Percentage of medical bills with more than one defect Number of defects on one medical bill Weight of a golf ball Meal delivery time at a restaurant…A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample I for Men vs Women Mean 112.8 118.1 StDev SE Mean Men Women 95% Cl for mu Men - mu Women (-9.81, - 0.79) T-Test mu Men = mu Women (vs <) T= - 2,34 P = 0.0104 DF = 126 54 11.2 14.5 1.5 75 1.7 P-value = 0.0104 State the researcher's conclusion. Which of the following is correct? O A. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O B. Reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O C. Fail to reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men…The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r=0.707. At & = 0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? Click the icon to view the soccer player data. Determine the null and alternative hypotheses. Ho:p = 0 Ha:p # 0 Determine the critical value(s). to = (Round to three decimal places as needed. Use a comma to separate answers as needed.)
- A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of α = 0.05. Click here to view a table of critical values for the correlation coefficient. Determine the null and alternative nypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) Identify the test statistic, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= B. There are two critical values at r = ± State the conclusion. Because the absolute value of the test statistic is the positive critical value, there correlation between the weights of discarded paper and alass for a significance level of α = 0.05. kample Get more help -…The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x1 15 158.42 158.72 158.42 3.127 0.807388 x2 15 65.95 66.45 65.95 1.091 0.281695 x3 15 187.23 186.63 187.23 4.171 1.076948 Variable Minimum Maximum Q1 Q3 x1 124 174 135.828 166.400 x2 41 80 47.088 77.579 x3 124 244 142.885 223.525 Correlations (Pearson) x1 x2 x2 0.829 x3 0.860 0.661 Regression Analysis The regression equation is x1 = 0.837 + 1.120x2 + 0.928x3 Predictor Coef StDev T P…The cost of building a supermarket is related to the total area of the building. Data for the last 10supermarkets built for Regork, Inc., are shown in the accompanying table.a. Develop a CERfor the construction of supermarkets. Use the CER to estimate the cost ofRegork’s next store, which has a planned area of 23,000 square feet.b. Compute the standard error and correlation coefficient for the CER developed in Part (a).