Homework Answers
1) The critical value = 
=1.998 (I have used excel to obtain this, command is
"=tinv(probability,df), here, probability =0.05,df=64)
2) Standard error of fit = 19.25
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Question 12 6 pts Based on a sample of 65 observations, a least-squares regression line is...
Based on a sample of n = 20, the least-squares method was used to develop the...
Based on a sample of n = 20, the least-squares method was used
to develop the following prediction line: Yi = 5 +
3Xi
In addition,
SYX = 1.0
= 2
a) Construct a 95% confidence interval estimate of the
population mean response for X = 2.
b) Construct a 95% prediction interval of an individual response
for x = 2.
We were unable to transcribe this imageWe were unable to transcribe this image
Least Squares Linear Regression of Rent Predictor Variables Constant Size Coefficient 1276.56 0.16486 Std Error 454.843...
Least Squares Linear Regression of Rent Predictor Variables Constant Size Coefficient 1276.56 0.16486 Std Error 454.843 0.41717 T 2.81 0.40 P 0.0072 0.6945 Mean Square Error (MSE) Standard Deviation 458532 677.150 R2 Adjusted R2 AICC PRESS 0.0032 -0.0175 656.27 2.34E+07 DF F 0.16 P 0.6945 1 Source Regression Residual Total MS 71610.6 458532 SS 71610.6 2.201E+07 2.208E+07 48 49 20.14 0.0006 Lack of Fit Pure Error 42 6 2.185E+07 155000 520346 25833.3 Cases Included 50 Missing Cases 0 7. Identify...
The following regression output was generated based on a sample of utility customers. The dependent variable...
The following regression output was generated based on a sample of utility customers. The dependent variable was the dollar amount of the monthly bill and the independent variable was the size of the house in square feet. SUMMARY OUTPUT Multiple R 0.149769088 R Square 0.02243078 Adjusted R Square -0.012482407 Standard Error 16.72762259 Observations 30 ANOVA df SS MS F Regression 1 179.7725274 179.7725 0.642473 Residual 28 7834.774007 279.8134 Total 29 8014.546534 Coefficients Standard Error t Stat P-value Intercept 66.44304169...
A straight line is fitted to some data using least squares. Summary statistics are below. n=10,...
A straight line is fitted to some data using least squares.
Summary statistics are below.
n=10, I = 5, y =12, SSxx=139, SSxy=128, SSyy=155 The least squares intercept and slope are 7.40 and 0.92, respectively, and the ANOVA table is below. Source DF SSMS Regression 1 117.87 117.87 Residual 8 37.13 4.64 Total ||155 [2 pt(s)] What is the estimated mean value for y when x=8? Submit Answer Tries 0/3 [2 pt(s)] If the fitted value for y is 20,...
please help! Following is a simple linear regression model: y = a + A + &...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Please show how to work the problem QUESTION 25 4 points Save Answer A guidance counselor...
Please show how to work the
problem
QUESTION 25 4 points Save Answer A guidance counselor at a local high school is interested in determining what, if any, linear relationship there is between high school percentile ranks and college GPAs. A student's percentile rank is calculated by determining the percentage of all students in the graduating class with a final high school GPA at or below his or hers. For example, a student graduating 10th in a class of 300...
When estimating a multiple linear regression model based on 30 observations, the following results were obtained....
When estimating a multiple linear regression model based on 30 observations, the following results were obtained. [You may find it useful to reference the t table.] Coefficients Standard Error t Stat p-value Intercept 151.03 128.84 1.172 0.251 x1 11.42 2.67 4.277 0.000 x2 2.00 2.02 0.990 0.330 b-1. What is the 95% confidence interval for β2? (Negative values should be indicated by a minus sign. Round "tα/2,df" value to 3 decimal places, and final answers to 2 decimal places.) c-2....
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Squa...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence interval for the slope coefficient B1 and interpret it. b. Is the slope coefficient on HEIGHT statistically significant at a level of significance of 1%? c. Years of schooling S also affects EARNINGS but has not been added to the regression. Where does the effect of Soccur in this regression output? SUMMARY OUTPUT Regression Statistics Multiple R 0.241124399 R Square 0.058140976 Adjusted R Square...
Problem 6 Simple Linear Regression To the Internal Revenue Service, the reasonableness of total itemized deductions...
Problem 6 Simple Linear Regression To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of...
Based on a sample of n = 20, the least-squares method was used
to develop the following prediction line: Yi = 5 +
3Xi
In addition,
SYX = 1.0
= 2
a) Construct a 95% confidence interval estimate of the
population mean response for X = 2.
b) Construct a 95% prediction interval of an individual response
for x = 2.
We were unable to transcribe this imageWe were unable to transcribe this image
Least Squares Linear Regression of Rent Predictor Variables Constant Size Coefficient 1276.56 0.16486 Std Error 454.843 0.41717 T 2.81 0.40 P 0.0072 0.6945 Mean Square Error (MSE) Standard Deviation 458532 677.150 R2 Adjusted R2 AICC PRESS 0.0032 -0.0175 656.27 2.34E+07 DF F 0.16 P 0.6945 1 Source Regression Residual Total MS 71610.6 458532 SS 71610.6 2.201E+07 2.208E+07 48 49 20.14 0.0006 Lack of Fit Pure Error 42 6 2.185E+07 155000 520346 25833.3 Cases Included 50 Missing Cases 0 7. Identify...
A straight line is fitted to some data using least squares.
Summary statistics are below.
n=10, I = 5, y =12, SSxx=139, SSxy=128, SSyy=155 The least squares intercept and slope are 7.40 and 0.92, respectively, and the ANOVA table is below. Source DF SSMS Regression 1 117.87 117.87 Residual 8 37.13 4.64 Total ||155 [2 pt(s)] What is the estimated mean value for y when x=8? Submit Answer Tries 0/3 [2 pt(s)] If the fitted value for y is 20,...
please help!
Following is a simple linear regression model: y = a + A + & The following results were obtained from some statistical software. R2 = 0.523 Syx (regression standard error) = 3.028 n (total observations) = 41 Significance level = 0.05 = 5% Variable Interecpt Slope of X Parameter Estimate 0.519 -0.707 Std. Err. of Parameter Est 0.132 0.239 Note: For all the calculated numbers, keep three decimals. Write the fitted model (5 points) 2. Make a prediction...
Please show how to work the
problem
QUESTION 25 4 points Save Answer A guidance counselor at a local high school is interested in determining what, if any, linear relationship there is between high school percentile ranks and college GPAs. A student's percentile rank is calculated by determining the percentage of all students in the graduating class with a final high school GPA at or below his or hers. For example, a student graduating 10th in a class of 300...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence interval for the slope coefficient B1 and interpret it. b. Is the slope coefficient on HEIGHT statistically significant at a level of significance of 1%? c. Years of schooling S also affects EARNINGS but has not been added to the regression. Where does the effect of Soccur in this regression output? SUMMARY OUTPUT Regression Statistics Multiple R 0.241124399 R Square 0.058140976 Adjusted R Square...
Problem 6 Simple Linear Regression To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of...
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