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.)

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…

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 1.65 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 Distance

The 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…

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…

Find the principal components of the data for Exercise 1. Reference Exercise 1: 19 22 6. 3 20 12 9. 15 13

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 23 4 23 5 22 6 26 7 25 8 25 9 25 10 30 11 31 12 31   Ho: ρ = 0Ha: ρ ≠ 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =