(b) Would you say the correlation is low, moderate, or strong? positive or negative? O moderate and positive O low and negative O low and positive O strong and negative O moderate and negative O strong and positive
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- In a given community, a survey was conducted to determine whether there is any relationship between the size of one’s yearly income x (in hundred thousands of pesos) and the size of one’s home y (in hundreds of square meters). The data were collected for 10 samples. x. Income 41.2 68.3 22.4 56.7 42.2 86.1 50.3 35.7 44.4 47.5 y, Home size 2.9 3.5 2.5 3.1 3.3 4 3.7 2.9 3 3.1 a.) Find the correlation coefficient r between income and home size b.) Determine the equation of the regression line of home size on c.) Determine the home size of a person with an annual income of Php 4,000,000.00Consider the following data set. Concentration, mg/L Absorbance 0.100 0.125 0.200 0.304 0.300 0.422 0.400 0.559 0.500 0.712 Write capital letters only on the space provided. 1. What is the slope? -0.064 0.697 1.429 -13.135 2. What is the y-intercept? -0.004 0.004 0.717 10.141 3. What is the concentration of an unknown sample with an absorbance reading of 0.218? 0.156 0.194 0.242 0.267Q1A) List down the measures of central tendency and measures of dispersion 1) Q1B) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of 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. PLEAS ANSWER Q1&B. THANK YOU.
- 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 following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. Year03691215 Retail Sales85.851108.426141.781169.256202.297222.266 Let y be the retails sales in billions of dollars in x years since 1995. A linear model for the data is y=9.44x+84.182 A) Use the above scatter plot to decide whether the line of best fit, fits the data well. The function is a good model for the data.The function is not a good model for the data B) To the nearest billion, estimate the retails sales in the U. S. in 2011. billions of dollars. C) Use the equation to find the year in which retails sales will be $240 billion. .A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line. The managers believe that there is a relationship between the defect rate and the production rate per hour. The managers believe that they can use production rate to predict the number of defects. The following data were collected for 10 randomly selected hours. Defects (Y) Production rate per hour(X) 2 40 3 45 1 35 2 37 3 40 2 40 3 45 2 30 1 30 4 30 (a). Construct a scatter plot diagram and comment on the relationship between y and x (b). Calculate the correlation coefficient (r) between x and y and comment on the result. (c). Find the coefficient of determination and interpret the result.
- For normally distributed data, what is the area greater than z = 0.34?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:…Two quality control technicians measured the surface finish of a metal part, obtaining the data in the table below. Assume that the measurements are normally distributed.
- Consider the data set given below. Data Table x1 x2 x3 y1 50 25 50 y2 30 15 50 a) Construct a frequency marginal distribution Marginal Distribution x1 x2 x3 y1 50 25 50 ______ y2 30 15 50 ______ Marginal Distr. ____ _____ _____ ______A company has recorded expenditure on advertising and the resulting sales for six months are as follows: Month Expenditure Sales(Y) March 20 170 April 40 240 May 50 260 June 60 300 July 30 220 August 40 250 Required: i. Plot the data on a scatter diagram and commentii. Calculate the line of best fit through the data, and interpret your values of α and βiii. Determine the explanatory power of your systemiv. Forecast sales when advertising expenditure is: 500 and 100 respectivelyYou obtained the following raw data when setting up a Bradford standard curve: BSA (mg/ml) Absorbancy 595nm 0 0.225 1 0.310 2 0.420 3 0.510 4 0.610 5 0.720 6 0.810 7 0.915 8 0.950 9 0.980 10 0.990 Set up a standard curve. What would the quality of the line-fit (R2 value) be if you do not exclude experimental outliers? (Give you answer to 4 decimal places)