Concept explainers
In exercise 1, the following estimated regression equation based on 10 observations was presented.
Here SST = 6724.125, SSR = 6216.375,
- a. Compute MSR and MSE.
- b. Compute F and perform the appropriate F test. Use α = .05.
- c. Perform a t test for the significance of β1. Use α = .05.
- d. Perform a t test for the significance of β2. Use α = .05.
- 1. The estimated regression equation for a model involving two independent variables and 10 observations follows.
- a. Interpret b1 and b2 in this estimated regression equation.
- b. Predict y when x1 = 180 and x2 = 310.
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Chapter 15 Solutions
Essentials Of Statistics For Business & Economics
- According to World Health Organization (WHO), the recommended limit for a noise level inside a classroom is 35 dBA. However, nine out of ten schools fail to meet this recommendation. A researcher wishes to conduct a study relevant to the prior information, but as a gap, he decides to include the area (in square meters) of every classroom and how it could possibly affect the resulting noise level. He selects 17 classrooms at random, and the noise levels are recorded in the next slide. a. Find the regression equation and construct the scatter plot diagram. b. Predict the noise level if a classroom has an area of 85.97 m2 . c. Calculate the coefficient of determination and interpret the findings. d. Calculate the coefficient of alienation and interpret the findings. Use Excelarrow_forwardfind the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. In each case, there is sujficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Altitude and Temperature Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet).arrow_forwardSuppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a standard deviation of 122 In the first semester, these students attained a mean GPA of 2.64, with a standard deviation of 0.53. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47 How do i find the regression line using the equationarrow_forward
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