6.4 We have data about some cities in the world. Latitudes are given in degrees
ID: 3323693 • Letter: 6
Question
6.4 We have data about some cities in the world.
Latitudes are given in degrees and average temperatures in January in degrees Celsius. Estimate a and b in regression line = a + bx for these data and calculate Pearson regression coefficient r, explanation rate R2 and Spearman regression coefficient rs. The independent variable should be latitude and the dependent average temperature in January. Also do a one-sided test on the significance level 5% with the null hypothesisH0: b = 0 and the alternative hypothesis H A: b <0.
City Beijing Boston Paris London Edmonton Novosibirsk Oslo Latitude 39,9 42,4 48,9 51,5 53,5 55,0 59,6 average temperature(January) -3,1 -1,5 4,9 4,3 -10,4 -16,5 -4,3
Explanation / Answer
y^ = 15.6205 -0.38752*x
r = 0.35319
r^2 = 0.1247
p-value for left tailed test = 0.437/2 = 0.2185 > 0.05
we fail to reject the null
SUMMARY OUTPUT Regression Statistics Multiple R 0.353196842 R Square 0.124748009 Adjusted R Square -0.050302389 Standard Error 7.851703589 Observations 7 ANOVA df SS MS F Significance F Regression 1 43.93375376 43.93375376 0.712640532 0.437083596 Residual 5 308.2462462 61.64924925 Total 6 352.18 Coefficients Standard Error t Stat P-value Lower 95% Intercept 15.62055825 23.19584719 0.673420467 0.530547531 -44.00626521 x -0.387525393 0.459055194 -0.84418039 0.437083596 -1.567564335Related Questions
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