I need help with this four questions, thanks! In conducting a hypothesis test of
ID: 3222101 • Letter: I
Question
I need help with this four questions, thanks!
In conducting a hypothesis test of the slope using a 0.05 level of significance, which of the following is correct?
D. The slope does not differ significantly from 0 because p-value = 0.003 is less than 0.05
A prediction equation for starting salaries (in $1,000s) and SAT scores was performed using simple linear regression. In the regression printout shown below, what can be said about the level of significance for the overall model?
E. None of the above
It is believed that, the average numbers of hours spent studying per day (HOURS) during undergraduate education should have a positive linear relationship with the starting salary (SALARY, measured in thousands of dollars per month) after graduation. Given below is the Excel output for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is shown.
Note: 2.051E - 05 = 2.051 10-05 and 5.944E - 18 = 5.944 10-18.
Referring to Table 13-9, the value of the measured t test statistic to test whether mean SALARY depends linearly on HOURS is
D. -1.8940.
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. Given below is the Excel output for predicting GPA using ACT scores based on a data set of 8 randomly chosen students from a Big-Ten university.
Referring to Table 13-8, what is the predicted value of GPA when ACT = 20?
A. The slope differs significantly from 0 because p-value = 0.003 is less than 0.05 B. The slope does not differ significantly from 0 because p-value = 0.205 is greater than 0.05 C. The slope differs significantly from 0 because p-value = 0.205 is greater than 0.05D. The slope does not differ significantly from 0 because p-value = 0.003 is less than 0.05
2.
A prediction equation for starting salaries (in $1,000s) and SAT scores was performed using simple linear regression. In the regression printout shown below, what can be said about the level of significance for the overall model?
A. The significance level for SAT indicates the slope is not equal to zero. B. The significance level for the intercept indicates the model is not valid. C. The significance level for SAT indicates the slope is equal to zero. D. SAT is not a good predictor for starting salary.E. None of the above
3.
It is believed that, the average numbers of hours spent studying per day (HOURS) during undergraduate education should have a positive linear relationship with the starting salary (SALARY, measured in thousands of dollars per month) after graduation. Given below is the Excel output for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is shown.
Note: 2.051E - 05 = 2.051 10-05 and 5.944E - 18 = 5.944 10-18.
Referring to Table 13-9, the value of the measured t test statistic to test whether mean SALARY depends linearly on HOURS is
D. -1.8940.
4.
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. Given below is the Excel output for predicting GPA using ACT scores based on a data set of 8 randomly chosen students from a Big-Ten university.
Referring to Table 13-8, what is the predicted value of GPA when ACT = 20?
A. 2.61 B. 2.80 C. 2.66 D. 3.12 Regression Statistics Multiple R 0.8851 R Square 0.7835 Adjusted R Square 0.7474 Standard Error 5.4006 Observations ANOVA MS Regression 1 633.242 633.242 21.711 Residual 6 175.000 29.167 Total 808.242 Coefficients Standard Emory t Stat P-value 4.17721 1.41989 0.20545 5.93118 Intercept Total Bill 2.71551 0.58279 -4.65952 0.00347Explanation / Answer
1)
A. The slope differs significantly from 0 because p-value = 0.003 is less than 0.05
2)
A. The significance level for SAT indicates the slope is not equal to zero.
3)
A. 13.3561.
4)
.5681+0.1021*20
A. 2.61