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based on the data shown, calculate the regression line (each value to two decimal places)
y= __________x + _______

Sum of X = 105
Sum of Y = 285.6
Mean X = 7.5
Mean Y = 20.4
Sum of squares (SSX) = 227.5
Sum of products (SP) = 469.1
Regression Equation = ŷ = bX + a
b = SP/SSX = 469.1/227.5 =
2.06
a = MY - bMX = 20.4 -
(2.06*7.5) = 4.94
ŷ = 2.06X + 4.94
Consider the data: X- 1 Y- 6 3 14 5 7 2 20 9 11 10 18 13 15 26 22 (a) Calculate the correlation between X and Y. 0.7399 (b) What percent of the variation in Y can be attributed to X? (Round to a whole percent) 55 % (c) Obtain the equation of the regression line for these data y = X +
The following sample observations were randomly selected: 1 2 3 4 5 X: 17 4 2 7 6 Y: 13 25 6 15 15 a. Determine the regression equation. (Negative answer should be indicated by a minus sign. Do not round intermediate calculations. Round the final answers to 4 decimal places.) b = a = Y' = + X b. Determine the value of Y' when X is 13. (Do not round intermediate calculations. Round the final...
2. Use least-squares regression to fit a straight line to r 6 7 11 15 17 21 23 29 29 37 39 29 21 29 14 21 157 13 03 Plot the data and the regression line using Matlab (submit plot). If someone made an additional measurement of 10. y 10, would you suspect, based on a visual assessment and the standard error, that the measurement was valid or faulty? Explain.
2. Use least-squares regression to fit a straight line...
x y 5 6 6 9 7 11 8 13 9 14 10 15 11 15 12 13 a) Generate a model for y as a function of x b) Is this model useful? Justify your conclusion based on i) R2 adjusted, ii) Hypothesis test for model coefficient, iii) overall model adequacy test and iv) regression assumptions c) If needed, modify model as appropriate and generate the new model. *Complete all parts of the problem please, be as detailed with...
Sample No. 1 2 3 4 5 6 No. Defectives 7 5 20 10 12 7 13 10 5 12 Sample No. 11 12 13 14 15 16 17 18 19 20 No. Defectives 6 6 15 4 12 7 12 3 19 16 Sample No. 21 22 23 24 25 26 27 28 29 30 No. Defectives 17 13 5 7 14 9 13 6 13 3 7 8 9 10 a) Establish 3a upper and lower controllimits. UCL...
Year 1. 2 3 4 5 Returns X Y 12 % 25 % 28 34 9 13 - 7 - 27 10 14 Using the returns shown above, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. (Do not round intermediate calculations. Enter your average return and standard deviation as a percent rounded to 2 decimal places, e.g., 32.16, and round the variance to 5 decimal places, e.g., .16161.) % % Average return Variance...
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 5 13.95 6 15.44 7 17.93 8 17.12 9 16.91 10 18.7 11 20.09 12 18.68 13 21.27 14 20.26 15 21.35 16 20.74 17 23.23 18 23.62 19 20.71
educ
wage
17
8.19
12
18.42
12
23.38
12
10.24
12
20.47
12
12.90
12
31.03
17
14.33
14
12.28
10
17.77
16
15.56
12
13.31
16
15.76
11
9.62
12
14.08
13
17.93
11
29.68
12
24.24
11
17.07
16
33.74
14
36.85
12
18.42
16
10.85
18
28.37
9
8.72
13
8.27
12
16.83
14
24.07
12
11.59
The data set wages educ (click the link to open the Excel file) contains data from a survey on hourly...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 7 8 11 14 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 What does the scatter diagram indicate about the relationship between the two variables? SelectThere appears to be a linear relationship between x and yThere appears to be a nonlinear relationship between x and yItem 2 Try to...
Based on the data shown below, calculate the regression line (each value to two decimal places) x y 4 12.16 5 16.75 6 19.04 7 18.43 8 | 22.32 9 23.51 10 24.9 11 | 29.79 12 33.28 1334.67 14 33.76 15 38.65 16 39.54 17 41.63