Question

In: Statistics and Probability

End of Section Problem 13.12 Your answer is partially correct. Try again. Use the following data...

End of Section Problem 13.12

Your answer is partially correct. Try again.

Use the following data to develop a regression model to predict y from x1 and x2. Comment on the output.
Develop a regression model to predict y from x1 only. Compare the results of this model with those of the model using both predictors.What might you conclude by examining the output from both regression models?

y x1 x2
28 12.6 134
43 11.4 126
45 11.5 143
49 11.1 152
57 10.4 143
68 9.6 147
74 9.8 128
81 8.4 119
82 8.8 130
86 8.9 135
101 8.1 141
112 7.6 123
114 7.8 121
119 7.4 129
124 6.4 135

(Round all answers to 4 decimal places.)


The regression equation for y from x1 and x2 is:

y=

+(

) x1 +(

) x2

F=

with p=

tx1=

with p=

tx2=

with p=


The regression equation for y from x1 only is:

y=

+(

) x1

F=

with p=

Solutions

Expert Solution

Using Excel, go to Data select Data Analysis, choose Regression. Put y values in Y input range. Put x1 and x2 values in X input range for first model and put x1 values in X input range for second model.

x1 and x2 model

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.9814
R Square 0.9632
Adjusted R Square 0.9570
Standard Error 6.3334
Observations 15
ANOVA
df SS MS F Significance F
Regression 2 12586.3823 6293.1912 156.8882 0.0000
Residual 12 481.3510 40.1126
Total 14 13067.7333
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 243.4408 23.0195 10.5754 0.0000 193.2856 293.5961
X1 -16.6079 1.0312 -16.1047 0.0000 -18.8548 -14.3610
X2 -0.0732 0.1870 -0.3915 0.7023 -0.4806 0.3342

The regression equation for y from x1 and x2 is:

y = 243.4408 + (-16.6079)x1 +(-0.0732)x2

F = 156.8882

with p = 0.000

tx1 = -16.1047

with p = 0.000

tx2 = -0.3915

with p = 0.7023

x1 model

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.9812
R Square 0.9627
Adjusted R Square 0.9598
Standard Error 6.1237
Observations 15
ANOVA
df SS MS F Significance F
Regression 1 12580.2357 12580.2357 335.4746 0.0000
Residual 13 487.4976 37.4998
Total 14 13067.7333
Coefficients Standard Error t Stat P-value
Intercept 235.1429 8.6775 27.0980 0.0000
X1 -16.7678 0.9155 -18.3160 0.0000

The regression equation for y from x1 and x2 is:

y = 235.1429 + (-16.7678)x1

F = 335.4746

with p = 0.000

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Problem 13-3A [Partially correct answer.] Your answer is partially correct. Try again. The income statement of...
Problem 13-3A [Partially correct answer.] Your answer is partially correct. Try again. The income statement of Whitlock Company is presented here. WHITLOCK COMPANY Income Statement For the Year Ended November 30, 2017 Sales revenue $7,524,400 Cost of goods sold     Beginning inventory $1,816,200     Purchases 4,438,600     Goods available for sale 6,254,800     Ending inventory 1,364,600 Total cost of goods sold 4,890,200 Gross profit 2,634,200 Operating expenses 1,191,900 Net income $1,442,300 Additional information: 1. Accounts receivable increased $204,700 during the year, and inventory decreased...
Problem 18-6A Partially correct answer. Your answer is partially correct. Try again. The comparative statements of...
Problem 18-6A Partially correct answer. Your answer is partially correct. Try again. The comparative statements of Corbin Company are presented below. CORBIN COMPANY Income Statement For the Years Ended December 31 2017 2016 Net sales (all on account) $600,500 $520,800 Expenses Cost of goods sold 414,600 353,300 Selling and administrative 119,900 113,000 Interest expense 7,800 6,300 Income tax expense 17,900 14,200 Total expenses 560,200 486,800 Net income $ 40,300 $ 34,000 CORBIN COMPANY Balance Sheets December 31 Assets 2017 2016...
Reserve Problems Chapter 8 Section 2 Problem 2 Your answer is partially correct. Try again. During...
Reserve Problems Chapter 8 Section 2 Problem 2 Your answer is partially correct. Try again. During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people – 10 women and 8 men. Results are as follows: Women: 1962, 1842, 1588, 1911, 1779, 1603, 1758, 1771, 1874, 1974; Men: 2097, 2560, 2328, 2399, 2420, 2292, 2263, 2047. Calculate a 90% confidence interval on the mean for women and men separately. Assume distribution to be normal. Round...
Partially correct answer. Your answer is partially correct. Try again. The actual selling expenses incurred in...
Partially correct answer. Your answer is partially correct. Try again. The actual selling expenses incurred in March 2017 by Fallon Company are as follows. Variable Expenses Fixed Expenses Sales commissions $14,228 Sales salaries $35,000 Advertising 10,086 Depreciation 7,200 Travel 8,355 Insurance 1,900 Delivery 3,422 (a) Prepare a flexible budget performance report for March, assuming that March sales were $167,100. Variable costs and their percentage relationship to sales are sales commissions 8%, advertising 6%, traveling 5%, and delivery 2%. Fixed selling...
Problem 17-07 Your answer is partially correct. Try again. The following information relates to the debt...
Problem 17-07 Your answer is partially correct. Try again. The following information relates to the debt securities investments of Vaughn Company. 1. On February 1, the company purchased 11% bonds of Gibbons Co. having a par value of $316,800 at 100 plus accrued interest. Interest is payable April 1 and October 1. 2. On April 1, semiannual interest is received. 3. On July 1, 9% bonds of Sampson, Inc. were purchased. These bonds with a par value of $212,400 were...
Your answer is partially correct. Try again. At the end of 2016, Metlock, Inc. has accounts...
Your answer is partially correct. Try again. At the end of 2016, Metlock, Inc. has accounts receivable of $666,300 and an allowance for doubtful accounts of $24,740. On January 24, 2017, it is learned that the company’s receivable from Madonna Inc. is not collectible and therefore management authorizes a write-off of $4,398. (a) Prepare the journal entry to record the write-off. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) Account Titles and Explanation Debit...
Exercise 21-4 Partially correct answer. Your answer is partially correct. Try again. Turney Company produces and...
Exercise 21-4 Partially correct answer. Your answer is partially correct. Try again. Turney Company produces and sells automobile batteries, the heavy-duty HD-240. The 2017 sales forecast is as follows. Quarter HD-240 1 5,100 2 7,490 3 8,330 4 10,350 The January 1, 2017, inventory of HD-240 is 2,040 units. Management desires an ending inventory each quarter equal to 40% of the next quarter’s sales. Sales in the first quarter of 2018 are expected to be 25% higher than sales in...
Exercise 14-12 Partially correct answer. Your answer is partially correct. Try again. On January 2, 2012,...
Exercise 14-12 Partially correct answer. Your answer is partially correct. Try again. On January 2, 2012, Cheyenne Corporation issued $2,100,000 of 10% bonds at 97 due December 31, 2021. Interest on the bonds is payable annually each December 31. The discount on the bonds is also being amortized on a straight-line basis over the 10 years. (Straight-line is not materially different in effect from the preferable “interest method”.) The bonds are callable at 102 (i.e., at 102% of face amount),...
Exercise 21-4 Partially correct answer. Your answer is partially correct. Try again. Klean Fiber Company is...
Exercise 21-4 Partially correct answer. Your answer is partially correct. Try again. Klean Fiber Company is the creator of Y-Go, a technology that weaves silver into its fabrics to kill bacteria and odor on clothing while managing heat. Y-Go has become very popular in undergarments for sports activities. Operating at capacity, the company can produce 1,048,000 Y-Go undergarments a year. The per unit and the total costs for an individual garment when the company operates at full capacity are as...
Exercise 10-4 [Partially correct answer.] Your answer is partially correct. Try again. Myers Company uses a...
Exercise 10-4 [Partially correct answer.] Your answer is partially correct. Try again. Myers Company uses a flexible budget for manufacturing overhead based on direct labor hours. Variable manufacturing overhead costs per direct labor hour are as follows. Indirect labor $1.00 Indirect materials 0.70 Utilities 0.40 Fixed overhead costs per month are Supervision $4,200, Depreciation $1,800, and Property Taxes $600. The company believes it will normally operate in a range of 7,000–13,000 direct labor hours per month. Assume that in July...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT