Question

In the kangaroo noses tab in the data file, We have data on the nasal length and width of grey kangaroos in mm Use this datanasal nasal width 609 241 629 222 620 233 564 207 645 247 493 189 606 226 660 240 630 215 672 231 778 263 616 220 727 271 810

In the kangaroo noses tab in the data file, We have data on the nasal length and width of grey kangaroos in mm Use this data to complete the following exercises. a) Run a regression with nasal length as the dependent variable and nasal width as the independent variable, i.e. length 60+ 81x width + e What is the prediction line equation? What is the R2 value? What is the F-statistic value for testing the regressions significance? b) Interpret the estimate for bi.* c) Test the hypotheses Ho: 61 1 vs H,: 6, 1. What is the formula for the test statistic you used? What is the value of the test statistic?* What sampling distribution did you use? If any, what are the degrees of freedom? What is the p-value of the test statistic? Do you reject Ho? d) Construct a 95% confidence interval for the bo coefficient. What is the formula for the Cl you used? Why did you use the particular sampling distribution you used? What is the CI interval?
nasal nasal width 609 241 629 222 620 233 564 207 645 247 493 189 606 226 660 240 630 215 672 231 778 263 616 220 727 271 810 284 778 279 823 272 755 268 710 278 701 238 803 255 855 308 838 281 830 288 864 306 635 236 565 204 562 216 580 225 220 596 597 219 636 201 213 559 615 228 740 234 677 237 675 217 629 211 238 692 710 221 730 281 763 292 686 251 717 231 737 275 816 275
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Date:-28/06/2019 Answer:- (X-Mx)^2 (Y-My)^2 (X-Mx)(Y Y nasal (Y-Y)^2 nasal length width My) 609 241 6146.56 9.957531 247.3956

173,0686 672 231 237,16 202.5956 239.7263 76.14875 263 52,03078 778 8208.36 355.1131 1707.307 270.2132 223.62 616 220 5097.96

28089.76 4076.113 292.3594 244.6287 855 308 10700.33 838 281 22680.36 1357.513 5548.773 287.47 41.86062 20334.76 8,014112 830

16486.56 970.6686 4000.373 207.2261 559 213 33.3376 261.002 21.7863 615 228 5241.76 1169.662 223.3324 1031353 740 234 2766.76

252.6689 469.5404 173.0686 717 231 876,16 -389.404 258.4211 274.859 737 275 2460.16 951.3798 1529,884 951.3798 816 275 16537.

b) To interpret, for every additonal unit of input output value increases by 0.287612 units /(Y- Y) Se 8968.0531 14.44158 - 2

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