Which of the following is a correct equation of the linear model? O Predicted pull strength = 2.264 + 2.744wirelength + 0.013dieheight %3D Pull strength = 2.264 + 2.744wirelength + 0.013dieheight O Predicted pull strength = -2.264 + 2.744wirelength + 0.013dieheight O 2.264 Pull Strength = 2.744wirelength + 0.013dieheight O Predicted pull strength = 2.744wirelength + 0.013dieheight %3D O Pull strength = 2.744wirelength + 0.013dieheight

d and e

Prove this statement "Regression models used for forecasting need not have a causal interpretation".?

Write the linear model to test the hypothesis that there is no treatment effect. Clearly describe each term in the model, and the range of the subscripts. Write the null hypothesis that you are testing.   Call: lm(formula = score ~ list, data = hearing)   Residuals:      Min       1Q   Median       3Q      Max -14.7500  -5.5833  -0.2083   6.3333  16.4167   Coefficients:             Estimate Std. Error t value Pr(>|t|)    (Intercept)   32.750      1.612  20.315  < 2e-16 *** listList2     -3.083      2.280  -1.352  0.17955    listList3     -7.500      2.280  -3.290  0.00142 ** listList4     -7.167      2.280  -3.144  0.00225 ** --- Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1   Residual standard error: 7.898 on 92 degrees of freedom Multiple R-squared:  0.1382,  Adjusted R-squared:  0.1101 F-statistic: 4.919 on 3 and 92 DF,  p-value: 0.00325

Give an equation for a linear regression model for these data to predict the weight from the fuel capacity, Identify the vanables in your equation. • Justify how well your linear equation fits the model by discussing a scatter plot of the date and the correlation coetlicient in assessing the fit of your linear model. • Use your model to predict the total weight of a small motorcycle that has a tuel capacity of 6 gallons. and discuss the usefulness of this prediction.

The data in the following table show five students' reading test scores and final exam grades in a history class. Reading Test Score, x 8.5 9.4 10.0 11.4 12.0 History Final Exam Grade, y 66 68 78 87 92 (a) Use the points (8.5, 66) and (10.0, 78) to find a linear model that will predict a student's final exam grade, y, given his or her reading test score, x. y= (b) Use your linear model to estimate a student's final exam grade in the history class given that the student's reading test score was 10.5.