Please help me answer all parts of this question Score: 0.4 of 1 pt &14.2.19 The

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Please help me answer all parts of this question

Score: 0.4 of 1 pt &14.2.19 The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. 2 of 2 (2 complete) X10 13 16 12 20 18 16 13 16 18 y 120 100 80 90 60 60 60 80 70 50 a. Develop a simple linear regression equation for these data. b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination c. Calculate the standard error of the estimate d. Calculate the standard error for the regression slope. e. Conduct the hypothesis test to determine whether the regression slope coefficient is equal to O. Test using -005. Click the icon to view the t-distribution table. a. Complete the linear regression equation below. (Round to one decimal place as needed.)

Explanation / Answer

## By using Minitab

Regression Analysis: Y versus X

The regression equation is
Y = 171 - 6.21 X

Predictor Coef SE Coef T P
Constant 171.39 16.87 10.16 0.000
X -6.210 1.089 -5.70 0.000

S = 10.1964 R-Sq = 80.2% R-Sq(adj) = 77.8%

Analysis of Variance

Source DF SS MS F P
Regression 1 3378.3 3378.3 32.49 0.000
Residual Error 8 831.7 104.0
Total 9 4210.0

a) The regression equation is
Y = 171 - 6.21 X

b) The Residual sum of square is =831.7

c) The standard error of estimate is S = 10.1964

d) Standard error of regression slope = 1.089

e) t value for the slope is -5.70 corrosponding Pvalue is 0.000 which indicates the rejection of null hypothesis at 5% level of significance. Hence knowing X values is useful in predicting Y.

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