Question
1. When performing a t-test between two independent samples and you want to know the existence of a significant difference at a level of 90%
1. When performing a t-test between two independent samples and you want to know the existence of a significant difference at a level of 90% confidence, the p-value found should be:
a. Greater than 0.10 |
b. Less than0.10 |
c. Less than 0.05 |
d. Less than 0.01 |
2. When a statistician performs a correlation test, the most significant result is to observe whether the correlation coefficient is between:
a. Less than .05 |
b. 0 y 1 |
c. -1 y 1 |
d. Greater than .05 |
3. A random sample of 10 students from a statistics course at the master's level was selected.
The results indicate that the time in hours spent studying during the semester and the scores obtained in the final exam were as follows:
Times | 40 | 42 | 37 | 47 | 25 | 44 | 41 | 48 | 35 | 28 |
Scores | 77 | 63 | 79 | 86 | 51 | 78 | 83 | 90 | 65 | 47 |
What is the p-value of the regression?
a. | 0.881 | |
b. | 0.776 | |
c. | 0.000754 | |
d. | 0.748 |
4. The null hypothesis approach for an analysis of an ANOVA test is:
a. | The variances of all samples are the same. |
b. | The mean of sample a is equal to the mean of sample 2 |
c. | The averages of all samples are the same |
d. | At least two differ |
5. A real estate agent specializing in commercial real estate wanted a more accurate way to measure the potential selling price of building apartments. As a first effort, it recorded the price of several recently sold apartment buildings ($1,000) and the number of square feet in the building.
Which of the independent variables were significant, at 95% confidence, in the regression model-dependent variable?
SUMMARY OUTPUT | ||
Regression Statistics | ||
Multiple R | 0.688171747 | |
R Square | 0.473580354 | |
Adjusted R Square | 0.413418109 | |
Standard Error | 2644.082014 | |
Observations | 40 |
ANOVA | |||||
df | SS | MS | F | Significance F | |
Regression | 4 | 220130123.6 | 55032530.89 | 7.871720081 | 0.000123372 |
Residual | 35 | 244690939.4 | 6991169.697 | ||
Total | 39 | 464821063 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | |
Intercept | 1433.137414 | 2092.820532 | 0.684787536 | 0.497988109 | -2815.514139 |
Size | -14.55309345 | 20.69820961 | -0.703108806 | 0.486638884 | -56.57269287 |
Apartments | 112.968551 | 24.01214689 | 4.704641844 | 3.90233E-05 | 64.22130123 |
Age | -50.10193523 | 98.81135835 | -0.507046316 | 0.615302268 | -250.6996572 |
Floors | -223.7948288 | 171.107677 | -1.307918106 | 0.199426759 | -571.1618806 |
Upper 95% | Lower 95.0% | Upper 95.0% |
5681.788968 | -2815.514139 | 5681.788968 |
27.46650597 | -56.57269287 | 27.46650597 |
161.7158008 | 64.22130123 | 161.7158008 |
150.4957868 | -250.6996572 | 150.4957868 |
123.5722229 | -571.1618806 | 123.5722229 |
a. | Size, Floors | |
b. | Apartments | |
c. | Age, Floors | |
d. | Intercept, Apartments |
6. A random sample of 10 students from a statistics course at the master's level was selected.
The results indicate that the time in hours spent studying during the semester and the scores obtained in the final exam were as follows:
Times | 40 | 42 | 37 | 47 | 25 | 44 | 41 | 48 | 35 | 28 |
Scores | 77 | 63 | 79 | 86 | 51 | 78 | 83 | 90 | 65 | 47 |
What is the Pearson correlation coefficient?
a. | 0.881 | |
b. | 0.654 | |
c. | 0.776 | |
d. | 0.748 |
7. A real estate agent specializing in commercial real estate wants a more accurate way to measure the potential selling price of building apartments. As a first effort, it recorded the price of several recently sold apartment buildings ($1,000) and the number of square feet in the building.
What is the coefficient of determination of the regression model?
SUMMARY OUTPUT | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.688171747 | |||||||
R Square | 0.473580354 | |||||||
Adjusted R Square | 0.413418109 | |||||||
Standard Error | 2644.082014 | |||||||
Observations | 40 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 4 | 220130123.6 | 55032530.89 | 7.871720081 | 0.000123372 | |||
Residual | 35 | 244690939.4 | 6991169.697 | |||||
Total | 39 | 464821063 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | |
Intercept | 1433.137414 | 2092.820532 | 0.684787536 | 0.497988109 | -2815.514139 |
Size | -14.55309345 | 20.69820961 | -0.703108806 | 0.486638884 | -56.57269287 |
Apartments | 112.968551 | 24.01214689 | 4.704641844 | 3.90233E-05 | 64.22130123 |
Age | -50.10193523 | 98.81135835 | -0.507046316 | 0.615302268 | -250.6996572 |
Floors | -223.7948288 | 171.107677 | -1.307918106 | 0.199426759 | -571.1618806 |
Upper 95% | Lower 95.0% | Upper 95.0% |
5681.788968 | -2815.514139 | 5681.788968 |
27.46650597 | -56.57269287 | 27.46650597 |
161.7158008 | 64.22130123 | 161.7158008 |
150.4957868 | -250.6996572 | 150.4957868 |
123.5722229 | -571.1618806 | 123.5722229 |
a. | 0.000123 |
b. | 0.413418 |
c. | 0.4735803 |
d. | 0.6881717 |
8.A manager of a company wants to measure the factors that have the space of the office and the time dedicated to the integration of technology, in the professional performance of the employee.
Which statistical analysis is most appropriate to measure factors?
a. | Variance | |
b. | Correlation | |
c. | Regression | |
d. | T test |
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