Find the linear regression line for the following table of values, where x represents the number...

Find the linear regression line for the following table of values, where x represents the number of employees a manager supervises and y represents average percentage of incomplete tasks. You will need to use a calculator, spreadsheet, or statistical software. Round your final answers to two decimal places.

Solutions

Expert Solution

x	y
0	2.21
1	3.44
2	2.71
3	4.97
4	7.56
5	5.88
6	6.62


	r²	0.752
	r	0.867
	Std. Error	1.115
	n	7
	k	1
	Dep. Var.	y

ANOVA table
Source	SS	df	MS	F	p-value
Regression	18.8272	1	18.8272	15.14	.0115
Residual	6.2176	5	1.2435
Total	25.0448	6


Regression output				confidence interval
variables	coefficients	std. error	t (df=5)	p-value	95% lower	95% upper
Intercept	2.3100
x	0.8200	0.2107	3.891	.0115	0.2783	1.3617

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Find the linear regression line for the following table of values. You will need to use...

Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software. Enter your answer in the form y=mx+b, with m and b both rounded to two decimal places. x y 3 6.03 4 9.65 5 11.49 6 11.57 7 12.96 8 14.97 9 16.31 10 17.43 11 18.55

Linear Regression When we use a least-squares line to predict y values for x values beyond...

Linear Regression When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?

In the table below the random variable X represents the number of people waiting in line...

In the table below the random variable X represents the number of people waiting in line at a fast food restaurant during the lunch hour. x 0 1 2 3 4 5 Probability 0.0110.035 0.285 0.304 0.239 0.126 a) Verify that this is a discrete probability distribution. b) Draw a probability histogram. c) Compute and interpret the mean of the random variable X. d) Compute the standard deviation of the random variable X. e) What is the probability that there...

Find the equation of the regression line by letting Row 1 represent the x- values and...

Find the equation of the regression line by letting Row 1 represent the x- values and Row 2 represent the y- values. Now find the equation of the regression line letting Row 2 represent the x- values and Row 1 represent the y- values. What effect does switching the explanatory and responsive variables have on the regression line? Row 1: -5 -3 4 1 -1 -2 0 2 3 -4 Row 2: -10 -8 9 1 -2 -6 -1 3...

The following table contains data from 16 former elementary statistics students, where x represents the number...

The following table contains data from 16 former elementary statistics students, where x represents the number of absences a student had for the semester and y represents the student’s final class average. Absences Class Average 2 86 2 83 3 81 10 53 3 92 7 71 9 68 1 79 12 53 9 78 1 77 1 85 13 62 1 97 10 54 3 79 (a) Draw a scatter plot using one the following website(s): http://www.alcula.com/calculators/statistics/scatter-plot/ or https://www.meta-chart.com/scatter...

Find the 'least square linear regression line' for the following cases: (x,y)coordinates (-1,0), (0,2), (1,4), (2,5)...

Find the 'least square linear regression line' for the following cases: (x,y)coordinates (-1,0), (0,2), (1,4), (2,5) (However, use the gradient descent method and use cost function to get it) (Explain the changing process of cost functuon, gradient, and intercept together)

Consider the following table of values, where t is the number of minutes and Q (...

Consider the following table of values, where t is the number of minutes and Q ( t ) is the amount of substance remaining in grams after t minutes. t 0 1 2 3 4 5 6 7 8 9 10 11 12 Q ( t ) 300 267 238 212 189 168 150 134 119 106 94 84 75 a. What is the initial value of Q ( t ) ? b. What is the half-life? c. Construct an...

. The following table contains the weights of a group of 12 women, where x represents...

. The following table contains the weights of a group of 12 women, where x represents the woman’s average weight at age 17, and y represents the woman’s weight after menopause. Weights (in Pounds Weight at Age 17, x ----99-- 123-- 119 --87 --90 --101-- 98-- 121-- 131-- 134--135-- 97 Weight after Menopause, y ----------------121-- 156--145--109--111--137-- 128--142--149--152 --155-- 128 Enter this information on your calculator and then answer the following: a. What kind of linear relationship seems to exist between...

In the following table, the random variable x represents the number of laptop computers that failed...

In the following table, the random variable x represents the number of laptop computers that failed during a drop-test of six sample laptops. Use the table to answer the questions a) - e) below. x 0 1 2 3 4 5 6 P(x) 0.377 0.399 0.176 0.041 0.005 0.000 0.000 a) Find and report the mean and the standard deviation of this distribution. b) Using the range rule of thumb, identify the range of values containing the usual number of...

Find a study that uses linear regression and a line of best fit. What is the...

Find a study that uses linear regression and a line of best fit. What is the Correlation Coefficient? What conclusions can you make about the data? Is there a correlation and how strong is it?

Subjects