A student calculates a linear model yy = xx + . (Please show your answers to two decimal places) Use the model to estimate the cost when number of pages is 546. Cost = $ (Please show your answer to 2 decimal places.)
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Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below:
| Number of Pages (xx) | Cost(yy) |
|---|---|
| 801 | 49.05 |
| 595 | 50.75 |
| 748 | 39.4 |
| 903 | 61.15 |
| 775 | 51.75 |
| 570 | 42.5 |
| 567 | 32.35 |
| 532 | 33.6 |
| 372 | 37.6 |
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal places)
Use the model to estimate the cost when number of pages is 546.
Cost = $ (Please show your answer to 2 decimal places.)
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- Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source. Zinc Location concentration in concentration in bottom water Zinc surface water 1 .430 .415 2 .266 .238 3 .567 .390 .531 .410 .707 .605 .716 .609 7 .651 .632 8 .589 .523 9 .469 .411 10 .723 .612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the a =.1 level of significance? a) Express the null and alternative hypotheses in symbolic form for this claim. Assume d = bottom - surface. Enter != for + . Ho: Pd Ha: Pd b) What is the significance level? c) What is the test statistic? Round to 3 decimal places. d) What is the p-value? Round to 4 decimal places. p =Skilled operators make a particular component for an engine. The company believes that the time taken to make this component may be modelled by the normal distri- bution with mean 95 minutes and standard deviation 4 minutes. Assuming the company's belief to be true, Find the probability that the time taken to make one of these components, selected at random, was (Round your answers to 4 decimal places): (a) over 98 minutes (b) under 90 minutes (b) (c) between 90 and 98 minutes (c)Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is significant linear correlation between advertising cost and profit . Use a significance level of 0.10 and round all values to 4 decimal places. Advertising Cost Profit 3 19 4 19 5 24 6 23 7 26 8 23 9 26 10 30 11 29 Ho: ρ = 0Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
- For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. LOADING... Click the icon to view the data set. LOADING... Click the icon to view the critical values table. Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 Question content area bottom Part 1 (a) Draw a scatter diagram of the data. Choose the correct graph below. (b) Compute the correlation coefficient. The correlation coefficient is requals=enter your…Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its oost. The data are shown below: Number of Pages (z) Cost(y) 894 132.22 es 320 57.6 706 93.78 503 69.39 427 75.51 ences 738 95.94 277 52.01 prations 781 107.53 e Drive 813 121.69 967 140.71 365 A student calculates a linear model using technology (Statistics Calculator or Computer) nt Course ations (Please show your answers to two decimal places) Use the model to estimate the cost when number of pages is 964. Cost = S (Use the linear model with yor rounded coefficients and then round your answer to 2 decimal places.) Submit Question ppenmath.com/assess2/#/skip/6 Type here to search R B M AltA statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.65 11 1.11 16 0.84 21 0.62 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8- 1.8 1.8 35 1.6- 1.6 1.6 30 1.4 1.4 1.4 1.2 1.2 1.2 25 1. 1. 1. 20 0.8- 0.8 0.8 0.6- 0.6 0.6- 15 0.4 0.4- 0.4 10 0.2- 0.2 0.2 0. 0. 0. 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 0. 0.2 0.4 0.6 0,8 1. 1.2 1.4 1.6 1.8 Number Number Number Distance (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is no…
- Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is significant linear correlation between advertising cost and profit. Use a significance level of 0.10 and round all values to 4 decimal places. Advertising Cost Profit 3 22 4 20 5 21 26 7 24 8 27 9 25 10 27 11 28 Ho: ρ 0 На: р 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =A statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Average Distance Number of Facilities (miles) 9 1.66 11 1.11 16 0.84 21 0.62 27 0.52 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 35 1.8 1.6 1.6 30 1.4- 1.4 1.2 25 1.2 1. 1. 20 0.8 0.8 0.6 15 0.6 0.4 0.4 10 0.2 0.2 0.- 5 0.- 5 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 Number Distance Number 1.8 1.6 1.4 - 1.2 1. 0.8 0.6 Distance DistanceThe Minitab output shown below was obtained by using paired data consisting of weights (in lb) 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 3000 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. The linear correlation coefficient is. (Round to three decimal places as needed.) Is there sufficient evidence to support a claim of linear correlation? O Yes O No Minitab output The regression equation is Highway = 50.3-0.00528 Weight T Predictor Coef SE Coef Constant 50.309 2.919…
- The data shown below consists of the price (in dollars) of 11 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.10 and round all values to 4 decimal places. Ticket Price Attendence 6 239 10 148 14 101 18 77 22 64 26 57 30 54 34 52 38 51 42 51 46 50 Ho: ρ = 0Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) αα Greater than αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is no Significant Linear Correlation between ticket price and attendence. There is no Significant Correlation There is Significant Positive Linear Correlation between ticket price and attendence. There is Significant Linear Correlation between ticket price and attendence. There is Significant Negative Linear…This exercise requires the use of a statistical software package. The cotton aphid poses a threat to cotton crops. The accompanying data on y = Infestation rate (aphids/100 leaves) X1 = Mean temperature (°C) x2 = Mean relative humidity appeared in an article on the subject. ŷ y = 62 21.0 105 X1 88 28.3 41.5 94 26.0 56.0 97 27.5 58.0 101 27.1 31.0 x2 68 103 28.3 40.0 75 34.0 25.0 7 57.0 78 24.8 48.0 62 30.5 34.0 42 28.3 13.0 13 33.6 20.0 28 30.8 37.0 20 31.0 19.0 31 31.3 21.0 26.8 36.5 119 29.0 41.0 61 78 34.3 X1 33.0 24.5 19 33.0 21.0 6.0 43 32.0 28.0 X2 27.8 39.0 22 31.8 17.0 24 33.5 39 34.5 18.5 16.0 20 34.3 26.0 22 26.5 26.0 57 27.3 24.5 58 25.8 29.0 83 25.0 41.0 88 18.5 53.5 26.0 51.0 103 19.0 48.0 Find the estimated regression equation of the multiple regression model y = a + B₁X₁ + ₂×₂ + e. (Round your numerical values to two decimal places.) 107 18.0 70.0 98 16.3 79.5 Assess the utility of the multiple regression model using a significance level of 0.05. Calculate the test…A statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.67 11 1.11 16 0.84 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8T 1.8 1.8 1.6 1.6 1.6- 30 1.4 1.4 1.4 25 1.2 1.2 1.2 1. 1. 1. 20 0.8 0.8 0.8 15 0.6 0.6 0.6 .. 0.4 0.4 0.4 10 0.2 0.2 0.2 0. 0. 0. 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 5 10 15 20 25 30 35 5 10 15 20 25 30 35 Distance Number Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O No, the scatter diagram suggests that there is no relationship. O Yes, the scatter diagram suggests that there is a linear…
