13) The commercial division of a real estate firm is conducting a regression analysis of the relationship between gross rents (X) and selling price (Y) for apartment building. Data have been collected on several properties recently sold, and the following output has been obtained in computer run.
a. How many apartment buildings were in the sample

b. Write the estimated regression equation

c. What's the sample regression coefficients of b0

d. What's the sample regression coefficients of b1

e. What's the value of the estimated variance of the regression

f. What's the value of the standard error of the regression

g. What's the value of the estimated variance of the b1

h. What's the value of the standard error of the b1

i. Is the result significant when using F statistic to test the significant of the relationship at a 0.05 level of significance.

j. Estimate the selling price of an apartment building with gross annual rent of $50,000

14) A metropolitan bus system sampler's rider counts on one of its express commuter routes for a week. Use the following data to establish whether rider ship is evenly balanced by day of the week. Let a = 0.05.

1. Is the pi^2 value significant at 5% level of significant?
2. Write the conclusion for this question

Solution Summary

This solution addresses the two questions on regression by calculating the regression equation from data provided and determining variables like standard error, variance, significance and regression coefficients.

A)Show the scatter diagram and explain whether it displays a linear relationship.
b)Enter the regressionequation
c)Interpret the coefficients in the regression.
d)Predict the amount of ice cream sold for one day with a temperature of 950C.

What is the interpretation of the coefficients that emerge from the regressionequation. Can you predict a change in the y variable given knowledge of the x variable? How much change would you predict in y for a one unit change in x?

In a multiple regressionequation two independent variables are considered, and the sample size is 25. The regressioncoefficients and the standard errors are as follows.
b1= 2.677 sb1= 0.56
b2= -0.880 sb2= 0.71
Conduct a test of hypothesis to determine whether either independent variable has a coeffic

For the multiple regressionequation y = 100 + 20x1 + 3x2 + 120x3:
a. Identify the y-intercept and partial regressioncoefficients.
b. If x1 = 12, x2 = 5, and x3 = 10, what is the estimated value of y?
c. If x3 were to increase by 4, what change would be necessary in x2 in order for the estimated value of y to remain uncha

Find the following:
(a) Compute the sample regressioncoefficients bo and b1.
(b) Compute the estimated variance of the regression.
(c) Compute the standard error of the regression.
(d) Compute the estimated variance of b1.
(e) Compute the standard error of b1.
Year y = book value per share x = earning per share
1980

See the attached file.
Predictor Coef StDev
Constant -150 90
X1 2000 500
X2 -25 30
X3 5 5
X4 -300 100
X5 0.60 0.15
Source DF SS MS F
Regression 5 1,500.00
Error 15
Total 20 2,000.0
a. Complete the ANOVA table.
b. Conduct a global test of hypothesis, using the .05 si

The following table shows the number of workdays absent based on the length of employment in years.
Number of workdays absent 2 3 3 5 7 7 8
Length of employment (years) 5 6 9 4 2 2 0
a. What is the independent variable? What is the dependent variable?
b. Using Megastat or Excel

Identify the regressionequation and make the prediction. Show your procedure, or explain how you reached your answer.
Find the best predicted cost of subway fare when the CPI is 182.5 (in the year 2000)
CPI 30.2 48.3 112.3 162.2 191.9 197.8
Subway 0.15 0.35 1 1.35 1.5 2
Fare
Regressionequation:
Predicted value: