Question: please show the solution thank you. Topic simple linear regression model and correlation 2. Consider the hypothetical data given below. Let X be the explanatory

please show the solution thank you. Topic simple linear regression model and correlation

2. Consider the hypothetical data given below. Let X be the explanatory variable and let Y be the response variable. 2 2 3 3 3 3 4 4 y 3.5 4.5 4.0 3.5 7.0 6.5 8.0 6.0 7.9 7.0 >4 .n [\\J 5 6 6 6 7 7 7 8 8 8 y 9.4 9.3 11.0 10.5 12.4 11.5 10.0 15.0 11.0 13.7 >4 a. Find the equation of the straight line that ts the data set. b. Calculate the predicted value if X = 4 c. Find the 95% level of condence interval for the mean of Y for Xi = 4. d. Find the 95% level of condence inte1val for the individual response of Y for X1 = 4

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