Question

Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 2.1 cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05. Overhead Width (cm) 8.1 83 9.3 7.8 92 Weight (kg) 184 223 261 170 209 259 82 Click the icon to view the critical values of the Pearson correlation coefficient The regression equation is ŷ - Ox (Round to one decimal place as needed.) The best predicted weight for an overhead width of 2.1 cm is kg (Round to one decimal place as needed) Can the prediction be correct? What is wrong with predicting the weight in this case? O A. The prediction cannot be correct because a negative weight does not make sense. The width in this case is beyond the scope of the available sample data OB. The prediction cannot be correct because a negative weight does not make senle and because there is not sufficient evidence of a linear correlation OC. The prediction cannot be correct'because there is not sufficient evidence of a linear correlation. The width in this case is beyond the scope of the available sample data OD. The prediction can be correct. There is nothing wrong with predicting the weight in this case.

Answer 1

X Y X Y X. X 8.1 184 1490.4 65.61 8.3 223 1850.9 68.89 9.3 261 2427.3 86.49 7.8 170 1326 60.84 8.2 209 1713.8 67.24 9.2 259 2382.8 84.64 Step 2: Find the sum of every column: x = 50.9, Y = 1306, x.y = 11191.2, x = 433.71

Step 3: Use the following equations to find a and b: α - ΣΥΣΧ? - ΣΧΣΧΥ ΣΧ2 – (ΣΧ)? 1306 - 433.71 – 50.9. 11191.2 6. 433.71 – 50.92 – 280.072 η • 6 - η· ΣΧΥ – ΣΧ.ΣΥ η· Σ Χ2 – (Σx)? 6 - 11191.2 – 50.9. 1306 6. 433.71 – (50.9)? & 58.672 Step 4: Substitute a and b in regression equation formula 9 9 α + 6. α – 280.072 + 58.672 •α

ģ--280.1 -280.1 + 58.7 X (one decimal ) an over head width 2.1 cm The best predicted weight for û = 2.1 put this in equation P1 = 280.1 + 58.74 > 58.72= 280.1 + 2.1 Q 82.2 58.7 x 14.8 Can prediction be conect is correct option (D) CS Scanned with CamScanner