X Y XY X^2 Y^2 1.5 3 4 2.25 3.4 2.1 7.14 11.56 4.41 3.6 3.2 11.52 12.96 10.24 4.6 3.6 16.56 21.16 12.96 3.6 18 25 12.96 6. 3.9 23.4 36 15.21 7 4.1 28.7 49 16.81 8. 4.2 33.6 64 17.64 8.5 4.5 38.25...

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X<br>Y<br>XY<br>X^2<br>Y^2<br>1.5<br>3<br>4<br>2.25<br>3.4<br>2.1<br>7.14<br>11.56<br>4.41<br>3.6<br>3.2<br>11.52<br>12.96<br>10.24<br>4.6<br>3.6<br>16.56<br>21.16<br>12.96<br>3.6<br>18<br>25<br>12.96<br>6.<br>3.9<br>23.4<br>36<br>15.21<br>7<br>4.1<br>28.7<br>49<br>16.81<br>8.<br>4.2<br>33.6<br>64<br>17.64<br>8.5<br>4.5<br>38.25<br>72.25<br>20.25<br>9.<br>4.6<br>41.4<br>81<br>21.16<br>10<br>5.9<br>59<br>100<br>34.81<br>Σ= 67.1<br>Σ- 41.2<br>E = 280.57<br>E = 476.93<br>Σ-168.7<br>

Extracted text: X Y XY X^2 Y^2 1.5 3 4 2.25 3.4 2.1 7.14 11.56 4.41 3.6 3.2 11.52 12.96 10.24 4.6 3.6 16.56 21.16 12.96 3.6 18 25 12.96 6. 3.9 23.4 36 15.21 7 4.1 28.7 49 16.81 8. 4.2 33.6 64 17.64 8.5 4.5 38.25 72.25 20.25 9. 4.6 41.4 81 21.16 10 5.9 59 100 34.81 Σ= 67.1 Σ- 41.2 E = 280.57 E = 476.93 Σ-168.7

2. LINEAR CORRELATION & LINEAR REGRESSION PROBLEM<br>A biologist is studying field mice particularly if there is a relationship<br>between the caloric intake of a rat and its body mass. The caloric intake of<br>rats varies with body mass as shown below.<br>Body Mass kg (X)<br>2<br>3.4<br>3.6<br>4.6<br>5<br>6<br>7<br>8<br>8.5<br>9<br>10<br>Caloric Intake, cal h-1 (Y)<br>1.5<br>2.1<br>3.2<br>3.6<br>3.6<br>3.9<br>4.1<br>4.2<br>4.5<br>4.6<br>5.9<br>A. Find correlation coefficient (r), correct to 4 decimal places.<br>B. Is there a linear correlation between these results? (Show the scatter diagram.)<br>C. Determine the equation of the regression line of caloric intake or body mass, expressing<br>the slope and y-intercept. (Plot the estimated regression line on the scatter diagram.)<br>D. Estimate the caloric intake when the body mass is 4.8 kg. (Show graph.)<br>

Extracted text: 2. LINEAR CORRELATION & LINEAR REGRESSION PROBLEM A biologist is studying field mice particularly if there is a relationship between the caloric intake of a rat and its body mass. The caloric intake of rats varies with body mass as shown below. Body Mass kg (X) 2 3.4 3.6 4.6 5 6 7 8 8.5 9 10 Caloric Intake, cal h-1 (Y) 1.5 2.1 3.2 3.6 3.6 3.9 4.1 4.2 4.5 4.6 5.9 A. Find correlation coefficient (r), correct to 4 decimal places. B. Is there a linear correlation between these results? (Show the scatter diagram.) C. Determine the equation of the regression line of caloric intake or body mass, expressing the slope and y-intercept. (Plot the estimated regression line on the scatter diagram.) D. Estimate the caloric intake when the body mass is 4.8 kg. (Show graph.)

Jun 07, 2022

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X Y XY X^2 Y^2 1.5 3 4 2.25 3.4 2.1 7.14 11.56 4.41 3.6 3.2 11.52 12.96 10.24 4.6 3.6 16.56 21.16 12.96 3.6 18 25 12.96 6. 3.9 23.4 36 15.21 7 4.1 28.7 49 16.81 8. 4.2 33.6 64 17.64 8.5 4.5 38.25...

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