Question

In: Statistics and Probability

The variables annual savings and annual income have been analyzed in a sample of families in...

The variables annual savings and annual income have been analyzed in a sample of families in a community, both measured in thousands of dollars. The data obtained has been the following:

Savings 1.9, 1.8, 2.0, 2.1, 2.3, 2.0, 2.2, 2.3, 2.5, 2.4
Income 20.5, 20.8, 21.2, 21.7, 22.1, 22.3, 22.2, 22.6, 23.1, 23.5



1) Obtain the adjusted model that explains saving as a function of income: saving = f (income).
2) Interpret the regression coefficient
3) Interpret the coefficient of determination

Solutions

Expert Solution


Related Solutions

A sociologist records the annual household income (in thousands of dollars) among a sample of families...
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime neighborhood. Locate the lower, median, and upper quartiles for the times listed below. Hint: First arrange the data in numerical order. lower quartile thousand dollars median thousand dollars upper quartile thousand dollars 33 55 39 44 34 48 25 39 23 45
Chicago Families: A survey is taken to estimate the mean annual family income for families living...
Chicago Families: A survey is taken to estimate the mean annual family income for families living in public housing in Chicago. From a random sample of 30 families, the annual incomes (in hundreds of dollars) are as follows 83 90 77 100 83 64 78 92 73 122 96 60 85 86 108 70 139 56 94 84 111 93 120 70 92 100 124 59 112 79 a) Construct and interpret a 95% confidence interval for b) Construct a...
A survey is taken to estimate the mean annual family income for families living in public...
A survey is taken to estimate the mean annual family income for families living in public housing in Chicago. For a random sample of 29 families, the annual incomes (in hundreds of dollars) are as follows: 90 77 100 83 64 78 92 73 122 96 60 85 86 108 70 139 56 94 84 111 93 120 70 92 100 124 59 112 79 a. Construct a box plot of the incomes. What do you predict about the shape...
A study estimates the mean annual family income for families living in public housing in Chicago....
A study estimates the mean annual family income for families living in public housing in Chicago. For a random sample of 30 families, the annual incomes (in hundreds of dollars) are here: 133 140 127 150 133 114 128 142 123 172 146 110 135 136 158 120 189 106 144 134 161 143 170 120 142 150 174 109 162 129 (a) Produce appropriate plots and predict on the shape of the population distribu- tion? (b) Find and interpret...
Annual high temperatures in a certain location have been tracked for a sample of 13 years....
Annual high temperatures in a certain location have been tracked for a sample of 13 years. Let X represent the year and Y the high temperature (in C∘). Years Temperature in C∘C∘ 2 9.5 3 9.35 4 11.2 5 11.35 6 10.6 7 12.95 8 13.7 9 13.45 10 12.2 11 12.65 12 15.9 13 15.55 14 14.3 1) Calculate the correlation coefficient. (Round to three decimal places.) r= Let's test the significance of the correlation coefficient at α=0.05 significance...
A water with a pH =7.0 has been analyzed and found to have the following composition,...
A water with a pH =7.0 has been analyzed and found to have the following composition, with all concentration in mg/L as CaCO3: CO2 = 125 mg/L Ca2+ = 250 mg/L Mg2+ = 80 mg/L Fe2+ = 10 mg/L Alkalinity = 260 mg/L SO4 2- = 50 mg/L Cl- = 30 mg/L a) what is the hardness of this water? Report in mg/L as CaCO3 b) use the excess Lime soda Ash method and estimate the kilograms of lime and...
You have been given the balance sheet (next page) for Roxbury Savings Bank and have been...
You have been given the balance sheet (next page) for Roxbury Savings Bank and have been asked for your assessment of its capital adequacy. You have been told it has no off-balance sheet activities. What is its: Tier 1 capital? Tier 1 and 2 capital? Risk-weighted assets? (You can put your answer on the next page with the balance sheet.) Ratio of Tier 1 capital to its i) total assets and ii) total risk-weighted assets? Ratio of Tier 1 and...
Suppose we have annual income for a sample of men and women provided below. Either using...
Suppose we have annual income for a sample of men and women provided below. Either using Excel or conducting this by hand, test to see whether the average annual income of men and women are the same. Conduct this at the 0.05 level. Make sure to test (also at the 0.05 level) that variances are the same. Show all your work or provide Excel output with a written explanation.     Men Women 99000 47000 32500 46500 14500 47200 78000 46900...
An engineer has been making annual deposits of $5,000 for 10 years into a savings account...
An engineer has been making annual deposits of $5,000 for 10 years into a savings account earning 8% interest. He/she decides to take a mid-life mini-retirement, and withdraws $5,000 for the next 5 years from the savings account (end of years 11, 12, 13, 14, and 15). At the end of the 5 year retirement they return to the workforce and deposit $15,000 every year for the next 10 years (end of years 16,17,....25). What is the Value of the...
You plan to start regular savings for retirement. You have been offered 3 different savings plans...
You plan to start regular savings for retirement. You have been offered 3 different savings plans by a financial institution. Option 1: You will deposit $600 at the end of each month for the next 20 years. The nominal interest rate is 12% per annum compounded monthly. a) Calculate the future value of your savings immediately after the last deposit. (1 mark) b) To help you, your parents will deposit a bonus of $1100 into your savings account at the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT