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Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. A study examined factors that affect the emission of volatile compounds by a type of potato plant. The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted (y), in hundreds of nanograms, for 11 potato plants. Use this information to complete parts (a) through (d). 58 85 57 65 52 67 62 80 76 52 68 y 8.5 22 10 22.5 12.5 11.5 7 13 16.5 , 21.5 11 (Exv - (Ex)(E»)/n) Ex - (Ex)*/ 2 a. Compute SST, SSR, and SSE, using the formulas SST= - ΣΥ- Σν)' /n. ssR = and SSE = SST – SSR. %3D SST = (Type an integer or decimal rounded to two decimal places as needed.) SSR = (Type an integer or decimal rounded to two decimal places as needed.) SSE = (Type an integer or decimal rounded to two decimal places as needed.) b. Compute the coefficient of determination, 2 %3D (Type an integer or decimal rounded to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. % of variation in is explained by About (Type an integer or decimal rounded to two decimal places as needed.) d. State how useful the regression equation appears to be for making predictions. because the coefficient of determination is cloSest to. The eauation me Remaining: 02:19:54 Next

Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. A study examined factors that affect the emission of volatile compounds by a type of potato plant. The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted (y), in hundreds of nanograms, for 11 potato plants. Use this information to complete parts (a) through (d). 58 85 57 65 52 67 62 80 76 52 68 y 8.5 22 10 22.5 12.5 11.5 7 13 16.5 , 21.5 11 (Exv - (Ex)(E»)/n) Ex - (Ex)*/ 2 a. Compute SST, SSR, and SSE, using the formulas SST= - ΣΥ- Σν)' /n. ssR = and SSE = SST – SSR. %3D SST = (Type an integer or decimal rounded to two decimal places as needed.) SSR = (Type an integer or decimal rounded to two decimal places as needed.) SSE = (Type an integer or decimal rounded to two decimal places as needed.) b. Compute the coefficient of determination, 2 %3D (Type an integer or decimal rounded to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. % of variation in is explained by About (Type an integer or decimal rounded to two decimal places as needed.) d. State how useful the regression equation appears to be for making predictions. because the coefficient of determination is cloSest to. The eauation me Remaining: 02:19:54 Next

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. A study examined factors that affect the emission of volatile compounds by a type of potato plant. The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted (y), in hundreds of nanograms, for 11 potato plants. Use this information to complete parts (a) through (d). 58 85 57 65 52 67 62 80 76 52 68 y 8.5 22 10 22.5 12.5 11.5 7 13 16.5 , 21.5 11 (Exv - (Ex)(E»)/n) Ex - (Ex)*/ 2 a. Compute SST, SSR, and SSE, using the formulas SST= - ΣΥ- Σν)' /n. ssR = and SSE = SST – SSR. %3D SST = (Type an integer or decimal rounded to two decimal places as needed.) SSR = (Type an integer or decimal rounded to two decimal places as needed.) SSE = (Type an integer or decimal rounded to two decimal places as needed.) b. Compute the coefficient of determination, 2 %3D (Type an integer or decimal rounded to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. % of variation in is explained by About (Type an integer or decimal rounded to two decimal places as needed.) d. State how useful the regression equation appears to be for making predictions. because the coefficient of determination is cloSest to. The eauation me Remaining: 02:19:54 Next
Transcribed Image Text:Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. A study examined factors that affect the emission of volatile compounds by a type of potato plant. The volatile compounds analyzed were hydrocarbons used by other plants and animals. Following are data on plant weight (x), in grams, and quantity of volatile compounds emitted (y), in hundreds of nanograms, for 11 potato plants. Use this information to complete parts (a) through (d). 58 85 57 65 52 67 62 80 76 52 68 y 8.5 22 10 22.5 12.5 11.5 7 13 16.5 , 21.5 11 (Exv - (Ex)(E»)/n) Ex - (Ex)*/ 2 a. Compute SST, SSR, and SSE, using the formulas SST= - ΣΥ- Σν)' /n. ssR = and SSE = SST – SSR. %3D SST = (Type an integer or decimal rounded to two decimal places as needed.) SSR = (Type an integer or decimal rounded to two decimal places as needed.) SSE = (Type an integer or decimal rounded to two decimal places as needed.) b. Compute the coefficient of determination, 2 %3D (Type an integer or decimal rounded to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. % of variation in is explained by About (Type an integer or decimal rounded to two decimal places as needed.) d. State how useful the regression equation appears to be for making predictions. because the coefficient of determination is cloSest to. The eauation me Remaining: 02:19:54 Next
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