Suppose a magazine would like to investigate the relationship between the batter
ID: 3315746 • Letter: S
Question
Suppose a magazine would like to investigate the relationship between the battery life, in hours, and the screen size, in diagonal inches, of a laptop oomputer. The accompanying table shows a random sample of eight laptops and the battery life and corresponding screen size of each. Use this information to complete parts a through e below Click the icon to view the table showing battery life and screen size for 8 laptops. O A. B. OC. O D. 10 20 10 20 Screen Sie Batlery Lie Battery Life Screen Sce b. Calculate the slope and y-intercept for the regression equation. The slope is b (Round to three decimal places as needed ) The y-intercept is a=DRourd to three decimal places as needed.) c. Provide an interpretation for the value of the slope. Because the slope is Round to four decima d. Calculate the SST. negative SST>(Round tot positive e. Partition the SST into the SSR and the SSE in I wil the by an average of I.t can be oonduded that a one ! as as needed.) SSE(Round to three decimal places as needed ) SSR-L(Round to three decimal places as noded ) Click to select your answer(s). 7:41 PM ENG Monday 12/4/2017 O Type here to search End gUp Home Esc 8Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: Screen Size
Independent Variable: Battery Life
Screen Size = 22.407432 - 2.1621622 Battery Life
Sample size: 8
R (correlation coefficient) = -0.57821107
R-sq = 0.33432805
Estimate of error standard deviation: 1.5152602
Parameter estimates:
Analysis of variance table for regression model:
Hence,
a) Option D is correct.
b) b = -2.162
a = 22.407
c) Negative; Hour; Battery Life; decrease; screen size; 2.162; inches
d) SST = 20.695
e) SSE = 13.776
SSR = 6.919
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 22.407432 4.8870435 0 6 4.5850691 0.0038 Slope -2.1621622 1.2455362 0 6 -1.7359288 0.1333Related Questions
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