Question

The accompanying table shows a random sample of eight laptops and the battery​ life, y, and corresponding screen​ size, x, of each. The regression line for the data is y=5.8201−0.1402​x, and SSE=0.969. Use this information to complete parts a through c below.

battery life screen size

3.8 15.7

3.4 17.4

4.1 14.4

3.8 11.6

3.3 13.7

3.8    13.4

4.8 11.2

4.2 12.2

Homework: homework - chapter 14 sections 4 - 7 Save Score: 0.09 of 1 pt 3 of 3 (2 complete) HW Score: 5.59%, 0.17 of 3 pts W 14.7.55-T Question Help The accompanying table shows a random sample of eight laptops and the battery life, y, and corresponding screen size, x, of each. The regression line for the data is y = 5.8201 -0.1402x, and SSE=0.969. Use this information to complete parts a through c below. B Click the icon to view the table showing battery life and screen size for 8 laptops. a. Using a = 0.05, test for the significance of the regression slope. Determine the null and alternative hypotheses. Choose the corr 0 Table of Screen Size and Ballery Life Х O A. Ho: B+0 HD=0 Ho:=0 HP+0 C. Holl50 HO:20 H.:P<0 H.: 0 Battery Life 3.8 3.4 4.1 3.8 3.3 Calculate the test statistic for the hypothesis test. t=(Round to two decimal places as needed.) Screen Size 1 15.7 17.4 14.4 11.6 13.7 13.4 11.2 12.2 4.8 4.2 Print Done Enter your answer in the answer box and then click Check Answer. ? 4 parts remaining Clear All Check Answer Type here to search 9 P (12) ENG 11:37 AM 7/29/2020

Answer 1

SUMMARY OUTPUT battery life (y) screen size(x) 3.8 15.7 3.4 17.4 4.1 14.4 11.6 3.8 Regression Statistics Multiple R 0.6226 R Square 0.3876 Adjusted R Square 0.2856 Standard Error 0.4016 Observations 8 3.3 13.7 3.8 13.4 4.8 11.2 4.2 12.2 ANOVA df MS F SS 0.6125 Significance F 0.0992 1 0.6125 3.7982 Regression Residual Total 6 0.1613 0.9675 1.58 7 t Stat P-value Lower 95% Coefficients Standard Error 5.8201 0.9954 -0.1402 0.0719 Intercept screen size(x) 3.3844 5.8470 -1.9489 0.0011 0.0992 Upper 95% 8.2558 0.0358 -0.3161

# Answers:

a] answer is B

test statistics is t = -1.95    (negative sign)

p-value = 0.099

since p-value > 0.05, we fail to reject H0 & conclude that the slope is not significant

conclusion: No, because the p-value is greater than alpha

b] UCL = 0.04

LCL = -0.32 (negative sign)

c] fill in the blanks are i] 0.32 ii] 0.04