Questions 1. Shown below is a portion of a computer output for regression analys
ID: 3170772 • Letter: Q
Question
Questions 1. Shown below is a portion of a computer output for regression analysis relating yt (dependent variable) and at (independent variable). Bo Biz Et yt Coefficients Estimate Std Error (Intercept) -0.000228 0.000249 0.772347 0.024640 Analysis of Variance table: Response y Df Sum Sq. 10.0777 1275 0.1008 Residuals (a) What has been the sample size for the above? (b) Perform a t-test and determine whether or not x and y are related. Let a 0.05 (c) Build a 95% confidence interval for both Bo and B1. Interpret the intervals. (d) Perform an F-test and determine whether or not x and x are related. Let a 0.05 (e) Compute the coefficient of determination. (f) Interpret the meaning of the value of the coefficient of determination that you found in d.Explanation / Answer
Answer to part a)
Sample size is sum of df + 1
1+1275 +1 = 1277
Thus sample size = 1277
.
Answer to part b)
The T stat can be calculated with the help fo formula shown below
t = b/SE = 0.772347 / 0.02464 = 31.345 , df = 1275 , this results in a very small P value , indicating a significant relation between x and y
.
Answer to part c)
Confidence interval of slope is as follows:
Slope - critical value * Standard error , Slope + Criticial value * Standard error
0.772347 - 1.96 * 0.02464 , 0.772347 + 1.96 * 0.02464
0.772347 -0.04829 , 0.772347 + 0.04829
0.724057 , 0.820637
.
Answer to part d)
The F value = (0.0777/1 ) / (0.1008/1275) = 982.8125
We got F = 982.8125 , df n = 1 and df d = 1275 , we got the Pvalue = 0.0000
Thus we conclude that x and y are related
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.