5.2 The following table gives the vapor pressure of water for various temperatures. Temperature (°K) Vapor Pressure (mm Hg) 273 4.6 283 9.2 293 17.5 303 31.8 313 55.3 323 92.5 333 149.4 343 233.7 353 355.1 363 525.8 373 760.0 a. Plot a scatter diagram. Does it seem likely that a straight-line model will be adequate?
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4he following data are measurements of temperature (x = °F) and chirping frequency (y = chirps per second) for the striped ground cricket. Temperature 31.4 22.0 34.1 29.1 27.0 24.0 20.9 27.8 Frequency 20.0 16.8 19.9 18.2 17.4 15.5 14.6 17.4 Temperature 20.8 28.5 26.4 28.1 27.0 28.6 24.6 Frequency 15.3 16.1 15.3 17.8 16.3 17.1 14.3 Find the best-fitting line for the data. (Round your values to three decimal places.Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 Compute SP (equation below) 420 5 6 17
- A study is made of the relationship between annual production volume of Good A and factory floor area. Table below shows the data from a sample of 10 factories. Factory Factory floor area, X (‘000m2 ) Annual production volume, Y ($‘ 000) 1 40 3.5 2 600 25.0 3 60 4.8 4 72 3.5 5 400 30.0 6 90 5.0 7 200 12.0 8 70 4.5 9 80 5.0 10 84 6.0 Construct a scatter plot.Q1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,
- 1. The following data has been collected to determine if a relationship exists between the amountof snowfall in Toronto and the number of students who attend lecture at U of T.Year Snowfall, x (cm) Number of students in class, y1995 173 1821996 165 1901997 152 2071998 184 1801999 178 184a. Determine the line of best fit by creating a scatter plot in Excel, a trendline, and thecorrelation coefficient. Make sure your scatter plot is properly titled and formatted.b. Explain what this correlation tells you about the relationship between the amount ofsnowfall and the number of students who attend lecture.c. How many students could we expect to attend a lecture if it were to snow 160 cm in aseason. Is this an example of interpolation or extrapolation?A glass manufacturing company wanted to investigate the effect of breakoff pressure and stopper height on the percentage of breaking off chips. The results are in the accompanying table. Complete parts (a) through (e). a. At the 0.01 level of significance is there an interaction between the breakoff pressure and the stopper height? b. is there an effect due to the breakoff pressure? c. is there an effect due to the stopper height? d. Plot the percentage breakoff for each breakoff pressure for each stopper height. e. Discuss the results of (a) through (d).The director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school. Based on the data below, decide if the correlation between the number of years and the amount of the contribution is significant at the alpha value of 0.05. Years x 1 3 5 10 6 9 Contribution y 640 290 170 45 70 80 a) Determine the line of best fine y = a + bx b) When x = 8 what is y and what does it mean in this context.
- Consider the following data relating hours spent studying (X) and average grade on course quizzes (Y): X Y 5 6 3 8 4 8 7 10 5 7 6 9 From these observations, can we conclude that hours spent studying caused increases in quiz grades?1.Consider the accompanying data on and (%) at failure of the cheese. [Note: Theresearchers were Italian and used real mozzarella cheese, not the poor cousin widelyavailable in the United States.]a. Construct a scatter plot.b. What does the plot suggest about the nature of the relationship between the twovariables?c. Calculate coefficient of correlation between x and y. Comment on the result. 2.Scraps of iron were selected on the basis of their densities, x, and their iron contents, y,were measured. The results were as follows:x 2.8 2.9 3.0 3.1 3.2 3.2 3.2 3.3 3.4y 27 23 30 28 30 32 34 33 30(i) Plot the data(Scatter Diagram)9 | P a g e(ii) Find the regression equation of y on x by the method of least squares(iii) Comment on Goodness of fit of the fitted line(iv) Predict y for given x=3.5A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…
