My CourseSites Math 301 Resou Remaining Time: 2 hours, 29 minutes, 05 seconds Qu

Question

My CourseSites Math 301 Resou Remaining Time: 2 hours, 29 minutes, 05 seconds Question Completion Status: 13 14 21 22 25 26 27 28 29 30 Let x be a random variable tha variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of basketball players gave the following information. t represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a rand 6 professional 79 82 82 49 50 Given that Sr ~ 3 14 1. a ~ 36 356 b ~ 0.189. and re 81 x when x = 71 O A. between 43.1 and 56.5 OB, between 43.4 and 56.2 OC. between 43.6 and 56.0 D. between 43.7 and 55.9 486. y . 310. x2 m39, 530 and y½ 16,062-find a 80% confidence interval for y E. between 43.5 and 56.1 Question 19 of 30> Moving to another question will save this response. MacBook Ain

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 36.355691 + 0.18902439 x
Sample size: 6
R (correlation coefficient) = 0.35952653
R-sq = 0.12925933
Estimate of error standard deviation: 3.1414001

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

80% confidence interval: (43.4, 56.2)

Option B is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 36.355691 19.910818 0 4 1.8259265 0.1419 Slope 0.18902439 0.24530213 0 4 0.77057785 0.4839

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