Question

Question 1: Compute the linear regression equation (coefficients) between the “year” variable and the “temperature” variable. In other words, the dependent variable will be the temperature and the independent variable will be “year” variable. Write down the equation, the correlation coefficient R and the standard error.

Question 2.

a. Has the annual temperature trend given by the regression line increased or decreased? Hint: Which of the regression line coefficients expresses whether the linear relationship between temperature and time (in years) is increasing or decreasing?

b. What is the rate of increase or decrease in temperature? Hint: the rate of increase or decrease in temperature is the amount of change in temperature for a change of 1 year. Write down that amount.

Question 3:  What is the predicted temperature (by the regression equation) and the residual for year = 1980 and year =1900?   

5365523198346 53 4 8 6 1 3 4 54 7 4 2 5 9 1 4 5 1 8 3 2 1 9 5 4 2 2 4 5 3 9 6 55 53 6 4 1.7 58 4 1 1 1 5 3 56 5 5 2 3 1 9 8 3

76 100 102 103 0 122 123 124 125 126 127 129 132 133 134 135 136 137 143 144 145

5365523198346 53 4 8 6 1 3 4 54 7 4 2 5 9 1 4 5 1 8 3 2 1 9 5 4 2 2 4 5 3 9 6 55 53 6 4 1.7 58 4 1 1 1 5 3 56 5 5 2 3 1 9 8 3 4 6 8 8 6 2 991 23 1.5 56 8 6 56 54 71 72 73 74 10 1 2 3 4 5 6 7 8 9 20 21 999999999 92 92 123456789 10 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76
76 100 102 103 0 122 123 124 125 126 127 129 132 133 134 135 136 137 143 144 145
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Answer #1


(1) From the given informati on, Let X(year-1943) be the Year and Y be the Temperature -145,ΣΧ,-0,Ση-254040,Σ1-1219,Ση-466343

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