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F test of a multiple regression model
The finance department of an automobile insurance company uses a multiple regression model to estimate the total number of accident claims that will be filed each month. Based on the most recent 20 months of claims data, the company has selected 2 independent variables that it believes are related to accident claims. Let β1 and β2 denote the coefficients of the 2 variables in this model. When this data is entered into a regression software program, the error sum of squares (SSE) associated with the model is reported to be 55.96 and the corresponding regression sum of squares (SSR) is 13.50. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting monthly accident claims? Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places.
1. What is the null hypothesis?
2. In this F-test, what are the degrees of freedom in the numerator? The denominator?
3. What is the value of the test statistic? (Round to at least two decimal places)
4. What is the p-value?
Car A is known to have a maximum deceleration of 9.35 m/s2. How fast must car A have been going before its brakes were applied? Answer 97.5 km/h (27.1 m/s).
Determine what scores correspond to the top and bottom 10% and 25% of the data. Begin with the z-score formula and transform the formula so that you are solving for the individual score (denoted as X in the z-score formula).
If the company does not want to replace more than 5% of the televisions?
percentage of persons completing 4 years of college23 26 30 34 26 25 23 22 31 2224 38 33 27 27 34 24 24 24 2122 24 28
In the following observational studies, describe changes that could be made to the data collection process that would result in an experiment rather than an observation study. Also, offer suggestions about unseen biases or lurking variables that m..
The average weight is 215 pounds and the standard deviation is 15 pounds. Approximately how many players had weights between 215 and 225 pounds?
a two independent sample test for difference of population means is based on samples of size 25 and 28. what is the
4 7 7 5 2 9 7 6 8 5 8 4 1 5 2 8 7 6 6 9. (a) Determine three quartiles and (b) draw box-and-whisker plot of the data.
Identify a business research topic and define the research questions for the identified problem or opportunity
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suppose the historical average work week was 39.2 hours and sd was 4.8 hours as reported by the department of labor.
what is the expected number of claims by males under 25? what is the standard deviation of the distribution. (How to show on excel using binodist formula).
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