Question

In: Statistics and Probability

The data below shows the high temperatures and the times​ (in minutes) runners who won a...

The data below shows the high temperatures and the times​ (in minutes) runners who won a marathon. Answer parts ​a-c.

Temperature​ (x)

5858

63

50

62

72

73

50

57

Time​ (y)

1145.882

146.683

145.931

146.604

147.965

144.267

148.503

147.643

a. Find the value of the linear correlation coefficient r.

b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using

alpha=0.05

c. Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

10. The data below shows the high temperatures and the times​ (in minutes) runners who won...
10. The data below shows the high temperatures and the times​ (in minutes) runners who won a marathon. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using a=0.05. Is there sufficient evidence to conclude that there is a linear correlation between temperature and winning​ times? Temperature_(x)             Time_(y) 56           148.824 60           145.072 45           144.768 63           148.851 70           148.546 74           148.019 52           147.065 57           146.845 What are the null and alternative​ hypotheses? Construct the...
High daily temperatures and times (in minutes) were given for women who won the New York...
High daily temperatures and times (in minutes) were given for women who won the New York City marathon in recent years. Results are listed in the table below. Is here a correlation between temperature and winning time? Use α=.05. What is the best predicted finishing time for a day with a high temperature of 70° F? x(° F) 55 61 49 62 70 73 51 57 y(minutes) 145.3 148.7 148.3 148.1 147.6 146.4 144.7 147.5 r: critical value: Significant linear...
Data are provided to you on test completion times (in minutes) for students who participated in...
Data are provided to you on test completion times (in minutes) for students who participated in a one-hour review class before test number 1 and for these same students who were also administered test number 2 a month later. However, they did not participate in the review class before test number 2. The goal here is to determine whether there is a significant difference in the test completion time between the students when they had the review class compared to...
6. Listed below are actual high temperatures and the high temperatures that were forecast five days...
6. Listed below are actual high temperatures and the high temperatures that were forecast five days earlier. Use a .05 significance level to test the claim of a zero mean difference between the actual high temperatures and the high temperatures that were forecast one day earlier. Use our 4-step procedure. This is a matched or paired samples hypothesis test. Actual high: 80 77 81 85 73 High forecast one day earlier: 78 75 81 85 76 Step 1: Ho____. Ha:...
Given below is simple random sample data for wait times, in minutes, for a call center....
Given below is simple random sample data for wait times, in minutes, for a call center. At the 98% confidence level, calculate the confidence interval estimate for the variance in wait time for the population of all calls at the call center. Assume the population is normally distributed. 12.1 11.5 13.4 16.2 11.3 12.2 11.3
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​...
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below. Commute Time​ (minutes), x 5 15 25 40 60 84 105 ​Well-Being Index​ Score, y 69.2 68.1 67.2 66.5 65.3 64.7 62.8 ​(a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable. y = [ ] x + [ ] ​(b) Interpret the slope and​ y-intercept,...
Two data sets are given below, each representing times (in minutes) to complete a given task...
Two data sets are given below, each representing times (in minutes) to complete a given task for two different samples of students. Data Set A: 3.1, 4.7, 7.3, 8.1, 8.1, 8.7, 8.8, 9.1, 9.1, 9.2 Data Set B: 5.2, 5.6, 5.8, 6.9, 7.0, 7.7, 7.9, 8.5, 8.8, 12.5 Complete the back-to-back stem plot for data set B by adding the numbers that belong in each class below, using a class width of 1.  Do not enter spaces between the numbers. If...
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​...
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below. Commute Time​ (minutes), x 55 1515 3030 3535 5050 8484 105105 ​Well-Being Index​ Score, y 69.169.1 67.867.8 66.266.2 65.865.8 64.564.5 62.362.3 59.959.9 ​(a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable. ModifyingAbove y with caretyequals=nothingxplus+left parenthesis nothing right parenthesis ​(Round to three decimal places as​...
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​...
The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below. Commute Time​ (minutes), x 5 15 30 40 50 84 105 ​Well-Being Index​ Score, y 68.9 67.6 65.8 64.9 64.0 61.5 58.8 ​(a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable. ModifyingAbove y with caret equalsnothingxplusleft parenthesis nothing right parenthesis ​(Round to three decimal places...
The wait times (in minutes) at a pharmacy are shown below. It is claimed that the...
The wait times (in minutes) at a pharmacy are shown below. It is claimed that the average waiting time is 65 minutes using a 5% significance level. 73 63 31 18 61 48 76 111 157 76 137 42 42 40 48 62 61 72 31 39. the value of the statistical test would be + 0. 008? Calculate the statistical test and answer the question whether this result is true or false.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT