Question

In: Statistics and Probability

A statistical program is recommended. Consider the following data for a dependent variable y and two...

A statistical program is recommended.

Consider the following data for a dependent variable y and two independent variables,

x1

and

x2.

x1

x2

y
30 12 94
47 10 108
25 17 112
51 16 178
40 5 94
51 19 175
74 7 170
36 12 117
59 13 142
76 16 211

(a)

Develop an estimated regression equation relating y to

x1.

(Round your numerical values to one decimal place.)ŷ =

  Predict y if

x1 = 43.

(Round your answer to one decimal place.)

(b)

Develop an estimated regression equation relating y to

x2.

(Round your numerical values to one decimal place.)ŷ =

  Predict y if

x2 = 19.

(Round your answer to one decimal place.)

(c)

Develop an estimated regression equation relating y to

x1 and x2.

(Round your numerical values to one decimal place.)ŷ =

  Predict y if

x1 = 43

and

x2 = 19.

(Round your answer to one decimal place.)

Solutions

Expert Solution



Related Solutions

A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 12 20 33 35 40 36 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x.  (Round b0 to one decimal place and b1 to three decimal places. ŷ = (b) Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05....
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 9 32 18 15 26 y 11 20 22 17 22 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) ŷ = Comment on the adequacy of this equation for predicting y. (Use α = 0.05.) The high p-value and low coefficient of determination...
A statistical program is recommended. Consider the following data for two variables, x and y. xi...
A statistical program is recommended. Consider the following data for two variables, x and y. xi 135 110 130 145 175 160 120 yi 145 100 120 120 135 130 110 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) xi yi Standardized Residuals 135 145 2.11 Incorrect: Your answer is incorrect. 110 100 -0.73 Incorrect: Your answer is incorrect. 130 120 145 120 175 135 160 130 120 110 Do the data include...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 9 32 18 15 26 y 9 20 22 16 23 (a)Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) (b) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to two decimal places...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 12 20 32 36 39 36 (a). Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (b). Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05. Find the value of the test statistic. Find the p-value. Is the relationship...
Consider the following data for a dependent variable y and two independent variables, x2 and x1....
Consider the following data for a dependent variable y and two independent variables, x2 and x1. x1 x2 y 30 12 94 46 10 109 24 17 113 50 17 179 41 5 94 51 19 175 75 8 171 36 12 118 59 13 143 77 17 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to x1 . Predict y if x1=45....
Consider the following data for a dependent variable y and two independent variables, x1 and x2.
You may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 93 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −18.89 + 2.02x1 + 4.74x2. Here, SST = 15,276.0,...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 209 The estimated regression equation for these data is ŷ = −17.02 + 1.99x1 + 4.70x2. Here, SST = 14,902.9, SSR = 13,773.1, sb1 = 0.2470, and sb2 = 0.9480. (1a) Test...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 13 95 46 10 108 25 18 113 50 16 179 40 5 95 51 20 176 74 7 170 36 12 117 59 13 142 77 16 211 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to x1. ŷ =_________ +___________ x1 Predict...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 212 The estimated regression equation for these data is ŷ = −18.52 + 2.01x1 + 4.75x2. Here, SST = 15,234.1, SSR = 14,109.8, sb1 = 0.2464, and sb2 = 0.9457. (a)Test for...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT