Use the table below to answer the following questions: (a) Find the value of the linear correlation coefficient. (b) Assuming a 0.01 significance level, find the critical values. (c) Is there sufficient evidence to support the claim of a linear correlation? Explain your reasoning
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- find linear correlation coefficient, P value, and test statistic.The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 27 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4500 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 27 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? Click the icon to view the Minitab display. Minitab output The linear correlation coefficient is. (Round to three decimal places as needed.) The regression equation is Highway = 50.4- 0.00535 Weight %3D Predictor Сoef SE Coef T Constant 50.383 2.732 17.75 0.000 Weight - 0.0053502 0.0007856 -7.55 0.000 S= 2.17876 R-Sq = 65.1% R-…what are the critical values r =?
- The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 31 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? Click the icon to view the Minitab display. The linear correlation coefficient is (Round to three decimal places as needed.) Is there sufficient evidence to support a claim of linear correlation? Yes O No Minitab output The regression equation is Highway = 50.8 -0.00508 Weight Predictor Coef SE Coef T P Constant 50.772 2.793…a) Are the body mass leanness and heat-loss ratecorrelated? Explain your reasoning. b) Calculate the standard error of the correlation coefficient; what does this value represent?Using the standard error how do you report (write) your results in a scientific paper?Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.05, Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.5 178 Click here to view a table of critical values for the correlation coefficient. 9.6 9.4 8.8 8.2 Weight 112 205 238 204 188 OA. YB. OC. KD D. Aweight (kg) 300- A weight (kg) Aweight (kg) 300- Aweight (kg) 300- 300- .. 100 100+ 100 7. rect: 0 10 10 10 10 width (om) width (cm) width (on) widn (om) The linear correlation coefficient is r= (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. O parts remaining Check Answer वी
- Carefully read the description of the following two studies (A and B). For each study answer the following questions: Should a correlation analysis or multiple regression be used to analyze the results. Describe the basis for your answer – why did you select this test. Study A Dr. Banner want to determine whether his patients’ age is a factor in compliance with dialysis. He hypothesizes that older patients will be less compliant with dialysis. In other words, he believes the older the patient the more dialysis appointment they miss. Study B Dr. Banner’s intern does not agree. She believes there are other factors, along with age, that influence compliance such as race anxiety and mistrust of health care, side effects of treatment and issues related to culture. She wants to know who much each of these factors contribute to non-compliance.The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? 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. Use a significance level of a = 0.01. Does it appear that riders base their tips on the time of the ride? Click here for information on the taxi rides. Construct a scatterplot. Choose the correct graph below. O A. Tip Amount ($) 25- Q 0 35 G Ride time (minutes) Determine the linear correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.) Tip Amount ($) B. 25- 0- 0 35 G Ride time (minutes) Taxi data ip Amount (S C. 25- 0- 35 Ride time…A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of alpha equals 0.05. Based on these results, do you get better quality paint by paying more? a. Calculate the test statistic. r s equals (Round to three decimal places as needed.) b. Find the critical values. r s equals plus or minus (Round to three decimal places as needed.)
- Using the linear correlation coefficient given above, calculate and give the value of the coefficient of determination. Explain in a sentence what this means in the context of this example, treating gpa as a predictor.Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Use a significance level of x = 0.05 to answer the following questions. Correlation Results Correlation coeff, r: Critical r: P-value (two tailed): 0.000 Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There are two critical values at r= ± OB. There is one critical value at r= Is there sufficient evidence to support the claim that there is a linear correlation between the weigh of bears and their chest sizes? Choose the correct below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) exceeds the critical value. A. No, because the absolute value of r= OB. Yes, because the absolute value of r= OC. No, because r= exceeds the positive critical value. falls…Please show all values and show whether us sufficient evidence to support the claim
