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1. Fitting a straight line to a set of data yields the following prediction line. Complete? (a) through? (c) below. A Yi : g +
1. Fitting a straight line to a set of data yields the following prediction line. Complete? (a) through? (c) below.
A Yi : g + 4Xi a. Interpret the meaning 0 the Yintercept, b0. Choose the correct answer below. 0 A. "he Yintercept. bl: = 4. implies that when the value ofX is 0. the mean value on is 4. O B. "he Yintercept. bc 2 9. implies that when the value ofX is 0. the mean value efY is 9. O C. "he Yintercept. bl: = 9. implies that for each increase of 1 unit in X. the value of'r' is expected to increase by 9 units. O D. "he Yintercept. b: = 9. implies that the average value on is 9. b. Interpret the meaning 0 the slope, b1. Choose the correct answer below. O A. "he slope.b1= 9 'mplies that for each increase of '1 unit in X, the value on is expected to increase by 9 units. O B. 'he slope. b1 2 4. 'mplies that for each increase of 1 unit in X, the value on is expected to decrease by 4 units. 0 C. "he slope. b1 =4. 'mplies that the average value on is 4. O D. 'he slopeib1= 4. 'mplies that for each increase of 1 unit in X, the value on is expected to increase by 4 units. c. Predict the mean value oiY for X: 5. A Yi = 20 0.1Xi a. Interpret the meaning of the Yintercept, b0. Choose the correct answer below. 0 A. "he Yintercept. b0 2 20. implies that the average value on is 20. O B. "he Yintercept. b0 2 0.1, implies that when the value of X is 0. the mean value on is 0.1. Q C. 'he Yintercept. be 2 20. implies that when the value of)( is 0, the mean value on is 20. O D. "he Yintercept. b0 2 20. implies that for each increase of 1 unit in X. the value on is expected to increase by 20 units. b. Interpret the meaning ofthe slope, b1. Choose the correct answer below. 0 A. "he slope. b1 2 20. implies that for each increase of 1 unit in X, the value on is expected to increase by 20 units. 0 B. "he slope. b1 2 0.1, implies that foreach increase 011 unit in X. the value on is expected to increase by 0.1 units. 0 C. "he slopeib1= 0.1, implies that the average value of Y is 0.1. O D. "he slope.b1= 0.1, implies that for each increase 011 unit in X. the value on is estimated to decrease by 0.1 units. c. Predict the mean value on for X: 5. 5- IfSSR = 54 and SSE =6, determine SST. then compute the coefficient of determination. r2, and interpret its meaning. SST = r2 2 (Type an integer or a decimal. Do not round.) Interpret the meaning of r2. Choose the correct answer below. 0 A- It means that (1 r2) \"100% of the variation in the independent variable cannot be explained by the variation in the dependent variable. 0 B- It means that 1 - r2 of the variation in the dependent variable cannot be explained by the variation in the independent variable. 0 C- It means that r2 of the variation in the independent variable can be explained by the variation in the dependent variable. 0 D- It means that r2 - 100% ofthe variation in the dependent variable can be explained by the variation in the independent variableStep by Step Solution
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