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Scatterplot of x and y N . + 2.0 2.5 3.0 3.5 4.0 4.5 5.0 X The scatterplot of two numerical variables x and y
Scatterplot of x and y N . + 2.0 2.5 3.0 3.5 4.0 4.5 5.0 X The scatterplot of two numerical variables x and y shows a generally linear relationship, on average, with a positive slope. A simple linear regression model is considered for this data. Without the data, you are given summary information below I = 3.107867, or = 0.7185645, y = 6.808221, oy = 1.821473, Try = 0.9273065 (a) [3 pts] Write down the least-squared regression line equation in this format y = bo + biz. (b) [2 pts] What is the predictive values for y when x=c(3.2,4.7)? (c) [1 pt ] Define the residual as er = yi - yi, i = 1, 2, ..., n, what is en tez + ... + en? (d) [4 pts] Can you find R- using only the information given below. Is your answer same as the rry? [(yi - 1)2 = 63.03749, (yi - yi)2 = 8.831715 hint: 21(yi -9)? = En1(1 -9:)' + Zin(gi -y)2
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