The particular question is related to Lean Six Sigma Black Belt (MindPro) covering Experimental Methods. Please thoroughly understand the relevant image, and accurately confirm whether the mentioned statement is TRUE or FALSE, by, clearly providing a Justificatio
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Experimental Methods - Question 30
The particular question is related to Lean Six Sigma Black Belt (MindPro) covering Experimental Methods.
Please thoroughly understand the relevant image, and accurately confirm whether the mentioned statement is TRUE or FALSE, by, clearly providing a Justification/Working.
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- In the manufacture of synthetic fiber, the fiber is often “set” by subjecting it to high temperatures. The object is to improve the shrinkage properties of the fiber. In a test of 23 yarn specimens, the relationship between temperature in °C (x) and shrinkage in % (y) was summarized by the least-squares line y = −12.789 + 0.133x. The total sum of square was ∑ni=1(yi−y⎯⎯)2∑i=1n(yi−y¯)2 = 57.313, and the estimated error variance was s2 = 0.0670. Compute the coefficient of determination r 2. Round the answer to three decimal places.A regression analysis between weight (y in pounds) and height (x in inches) resulted in following least squares line: y^= 120+5x. this implies that if the height is increased by 1 inch, the weight is expected ?Each of 25 teenage girls with one brother was asked to provide her own height (y), in inches, and the height (x), in inches, of her brother. The scatterplot below displays the results. Only 22 of the 25 pairs are distinguishable because some of the (x,y) pairs were the same. The equation of the least-squares regression line is ŷ = 35.1 + 0.427x.*Girls are on the y-axis and brothers are on the x-axis* a.) Draw the least-squares regression line on the scatterplot above. b.) One brother’s height was x = 67 inches and his sister’s height was y = 61 inches. Circle the point on the scatterplot above that represents this pair and draw the segment on the scatterplot that corresponds to the residual for it. Give a numerical for the residual. c.) Suppose the point x = 84 , y = 71 is added to the data set. Would the slope of the least squares regression line increase, decrease, or remain about the same?Explain. Would the correlation increase, decrease, or remain about the same? Explain.
- 6) The line of best fit through a set of data isy=36.704+0.985xy=36.704+0.985xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 30?y = Round to 1 decimal place.Let Factor A have four levels and Factor B have six levels. What is the value of κ for the q-curve if we are performing Tukey’s multiple-comparison procedure for a. the levels of Factor A? b. the levels of Factor B?Let Factor A have four levels and Factor B have six levels. What is the value of κ for the q-curve if we are performing Tukey’s multiple-comparison procedure for a. the levels of Factor A? b.the levels of Factor B?
- Answer the following: 2. Describe the form, direction, and strength of the relationship between these variables. Does there appear to be any outliers? 3. The equation of least-squares regression line is y = 6.871 + 0.061x. This line goes through the points (0, 6.9) and (700, 49.5). Use these points to add the regression line to your scatterplot above. 4. One animal is farthest from the regression line and is an outlier for these two variables. Find the name of this animal and write a sentence describing how its position differs from the overall relationship among the other animals. 5. The elephant has the longest gestation period of these animals. a. Considering only the gestation variable, would you say that the elephant is an outlier? Write a sentence or two explaining why or why not? b. Considering both variables and the relationship between average life span and average gestation period, would you say the elephant is an outlier now? Write a sentence or two explaining why or why…The attached cost-output data were obtained as part of a study of the economies of scale in operating a charter high school in Wisconsin:What type of cost-output relationship (linear, quadratic, cubic) is suggested by these statistical results?The following table shows the marks in statistics and economics for ten students. Fit a least square line to the data using a) ‘X’ as the independent variable b) What will be the regression equation if X= 20
- 8. Areal estate company wants to study the relationship between Home price (in OMR 1000) and the following variables: Floor size (in 100 square feet) (X 1 ) Type of Heating (X 2 =1 if electricity and X 2 =0 , Gas, Location of home in town and X 3 =0 , if in village). Use this to answer the following questions: Then the P-value for testing Ho: B2=0 against H 1 :B 2 not =0 is A. 0.2623 B. 0.0073 C. 0.0037 D. 0.1312 E. NoneDetermine the best (according to sum-of-squares-measure) curve y = ax2 + bx + c, throughthe data above.Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.
