art . In 1965 Intel co-founder Gordon Moore predicted that the number of transis
ID: 3352568 • Letter: A
Question
art . In 1965 Intel co-founder Gordon Moore predicted that the number of transistors in computer microchips would double every two years. Since that prediction (commonly referred to Law), data were collected on the number of transistors in Intel microchips (Transistors) of the number of years since 1950 (Year). These data were analyzed and the 0 MiniTab outputs were generated (note that Transistors was log-transformed before as a function followin analysis): Model Sumnary Scatterplot of log/Transistors) va Year (Since 1950) S R-q R-s(adj) R-aq(pred) 96 , 62% 0. 851850 97.04 96 Coefficients Term Coef SE Coef T-Value P-value Con. 0.116 0.571 Year 0.3505 0.0122 28.65 0.000 0.20 0.841 Regreasion Equation log ITransistors) 0.116+0.3505 Year Year (Since 9954 A TRUE or FALSE (circle one): Based on the output above, the null hypothesis Ho 0 would be rejected (use -0.05). (Score: 1 or 0) 8. According to the output above, what percent of variation in log(Transistors) can be linearly attributed to Year? (Score: 1 or O) a. 69.62% b. 96.93% c. 97.04% d. 85.19% C. Given the linear regression model above, the 95% prediction interval for the log- number of transistors in a single Intel microchip in 2017 is (21.7303, 25.4755]. sing a complete sentence, interpret the meaning of this interval. (Score: 1 or O) D. A scatter plot of the residuals against the fitted values is provided to help evaluate whether the data meet the conditions and assumptions necessary for regression. Using this plot, which of the following conditions are not met by the data? Circle all that apply. (Score: 2, 1, or 0) a. No Outlier Condition b. Quantitative Variable Condition c. Straight Enough Condition (Linearity Assumption) d. Does the Plot Thicken? Condition (Equal Variance Assumption) Versus Fits Fitted ValueExplanation / Answer
A) p-value of b1 = 0.000 < 0.05
we reject the null hypothesis
hence true
b)
R^2 = 97.04% = 0.9704
option C) is correct
c)
we are 95 % confident that the future value of log of true number of transistor
lies in given prediction interval
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