x:12 21 28 8 20 y:17 15 22 19 24 1. What is the value of...
x:12 21 28 8 20
y:17 15 22 19 24
1. What is the value of b1?
2. What is the value of b0?
3. What is the equation of the y ^ estimator line?
4.if x is increased by 10 units, how much does y ^ change?
5.Assume b0 = 12.953, and b1 = -2.5. For x = 25, predict y
6. How much correlation is there between x and y?
Round to four decimals and use leading zeros if necessary.
7. How much of the variability in y is explained by x?
Round to four decimals and use leading zeros if necessary.
Homework Answers
Use Excel to calculate for the following dataset: X Y 1 10 1 12 3 13...
Use Excel to calculate for the following dataset: X Y 1 10 1 12 3 13 3 17 5 17 5 21 the correlation coefficient: Please round to two decimals the value of the intercept, b0: the value of the slope, b1: the predicted value of Y when X =5:
x 1 11 20 16 19 15 16 10 x2 17 21 17 21 19 21...
x 1 11 20 16 19 15 16 10 x2 17 21 17 21 19 21 14 x3 19 22 21 22 24 23 X4 25 16 17 18 18 x5 26 18 18 22 21 Test at a = 0.10 to determine if the population means are all the same. 1. The null hypothesis is Ho: OM = M2 = M3 = Hy = 45 Oui = ly = H3 = 44 OH = H2 = 43 2. This...
Given are five observations for two variables, x and y. xi 3 12 6 20 14...
Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value
of y when x = 9.
Observation 1 2 3 4 5 6 7 8...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 9 32 18 15 26 y 11 19 20 16 22 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) ŷ = Comment on the adequacy of this equation for predicting y. (Use α = 0.05.) The high p-value and low coefficient of determination...
X: 19 0 34 35 28 30 24 -24 -8 -13 y: 8 -5 24 22...
X: 19 0 34 35 28 30 24 -24 -8 -13 y: 8 -5 24 22 12 26 9 -9 -2 -4 (a) Compute Ex, Ex2, Ey, Ey? Ex 125 Ex2 5811 Ey 81 Ey2 2151 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to two decimal places.) 12.5 8.1 s 21.73 12.89 (c) Compute a 75% Chebyshev interval around the mean for x...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 33 35 40 36 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to one decimal place and b1 to three decimal places.) ŷ = (b) Use the results from part (a) to test for a significant relationship between x and y. Use α =...
In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were...
In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were measured: Be Specific with answers Conc. Level (Xi) 4 6 8 10 12 14 16 Absorption (Yi) 10 15 18 18 24 22 26 a) Find the least squares estimate for the regression line Yi = b0 + b1Xi+ ei. b) What would be your estimate of the absorption when the concentration level is 10? c) Estimate the standard deviation of the error term...
Using the data file provided with both variables, x and y, answer the following questions using...
Using the data file provided with both variables, x and y, answer the following questions using Excel*: 1.Create a scatterplot with the data. Comment on direction, form, strength, outliers and/or other significant findings. 2.Use the linear model to fit a line to the data and determine the equation ỹ = b0 + b1x and Interpret b0and b1. 3.Calculate the coefficient of correlation. Discuss the strength of correlation between the explanatory and response variables. 4.Predict the value for ỹ when you...
Age of Suspect 11 18 18 13 22 22 21 30 24 Age of Victim 13...
Age of Suspect 11 18 18 13 22 22 21 30 24 Age of Victim 13 14 18 15 22 22 29 44 29 Age of Suspect 45 27 59 33 49 51 31 64 23 Age of Victim 36 37 42 43 47 51 49 61 51 Age of Suspect and Age of Victim in Single Suspect Incidences of Gun Violence The table above shows the age of the suspect and the age of the victim in a random...
Consider the following sample data: X y 22 101 24 139 27 250 21 88 23...
Consider the following sample data: X y 22 101 24 139 27 250 21 88 23 87 14 14 14 16 15 20 Click here for the Excel Data File b. Calculate by and bo. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) y-hat = c. Find the predicted value for y if x equals 20, 100 and...
x 1 11 20 16 19 15 16 10 x2 17 21 17 21 19 21 14 x3 19 22 21 22 24 23 X4 25 16 17 18 18 x5 26 18 18 22 21 Test at a = 0.10 to determine if the population means are all the same. 1. The null hypothesis is Ho: OM = M2 = M3 = Hy = 45 Oui = ly = H3 = 44 OH = H2 = 43 2. This...
Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value
of y when x = 9.
Observation 1 2 3 4 5 6 7 8...
X: 19 0 34 35 28 30 24 -24 -8 -13 y: 8 -5 24 22 12 26 9 -9 -2 -4 (a) Compute Ex, Ex2, Ey, Ey? Ex 125 Ex2 5811 Ey 81 Ey2 2151 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Round your answers to two decimal places.) 12.5 8.1 s 21.73 12.89 (c) Compute a 75% Chebyshev interval around the mean for x...
Consider the following sample data: X y 22 101 24 139 27 250 21 88 23 87 14 14 14 16 15 20 Click here for the Excel Data File b. Calculate by and bo. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) y-hat = c. Find the predicted value for y if x equals 20, 100 and...
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