4- how do I calculate this? 5- what are difference between type 1 and type 2 err

Question

4- how do I calculate this? 5- what are difference between type 1 and type 2 errors and how do we limit them? 6- explain 7- explain and solve 8- how to calculate and interpret? 4. At a level of significance of 0.01, is an increase in the number of feet of turning circle associated with a decrease in miles per gallon? (i point cite the relevant evidence. 5. If your conclusion in equation 4 is erroneous, what kind of error have you made and how could you reduce the probability of making that enror? (i point) 6. What information about the usefulness of model for prediction does the R-sq value provide? Report and interpret the magnitude of the least squares estimate of the DRIVE TYPE coefficient in this problem. (1 point) 8. Calculate the 90% confidence interval for the coefficient of WIDTH. Interpret the interval you calculated. point) 9. What is the relevance or importance of reporting the F test in the Analysis of Variance table when we already have the t-test results for all of the explanatory variables? (1 point)

Explanation / Answer

Answer ques 4.

At the level of significance, to be 0.01 let us state the hypothesis as:

H0= With increase in number of feet of turning circles there is a decrease in mileage per gallon

The two evidences for this case are:

1) Looking at the ANOVA table, the p - value for Turning circles is 0.000103.

Here p(cal) < 0.01 (level of significance)

Hence we accept the null hypothesis.

2) Looking at the correlations table, the two varaibles are negatively correlated (-0.57113). This implies that an increase in one variable would lead to decrease in other and vice versa.

Hence we accept the null hypothesis.

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