Use the following data to perform a regression analysis. What is the null hypothesis? What is the alternative Hypothesis? What is the R2 Month Sales 1 132 2 131 3 134 4 140 5 141 6 142 7 144 8 143 9 146 10 145 11 148 12 148
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Use the following data to perform a
-
- What is the null hypothesis?
- What is the alternative Hypothesis?
- What is the R2
Month |
Sales |
1 |
132 |
2 |
131 |
3 |
134 |
4 |
140 |
5 |
141 |
6 |
142 |
7 |
144 |
8 |
143 |
9 |
146 |
10 |
145 |
11 |
148 |
12 |
148 |
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- A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept 624.5369 78.49712 7.956176 6.88E-06x 8.569122 1.652255 5.186319 0.000301x 4.736515 0.699194 6.774248 3.06E-05Source df SS MS F p-valueRegression2 1660914 830457.1 58.319561.4E06Residual 11 156637.5 14239.77Total 13 1817552The adjusted R is ____________.0.91380.88910.88510.8981A multiple regression analysis produced the following tables. Predictor Coefficients StandardErrort Statistic p-valueIntercept -139.609 2548.989 -0.05477 0.957154x 24.24619 22.25267 1.089586 0.295682x 32.10171 17.44559 1.840105 0.08869Source df SS MS F p-valueRegression 2 302689 151344.5 1.705942 0.219838Residual 13 1153309 88716.07Total 15 1455998Using = 0.01 to test the null hypothesis H :?1 = ?2 = 0, the critical F value is ____.6.701.964.845.995.70Use the following information from a multiple regression analysis. n=15 b1=2 b2=6 Sb1=1.4 Sb2=0.5 a. Which variable has the largest slope, in units of a t statistic? b. Construct a 90% confidence interval estimate of the population slope, β1. c. At the 0.10 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the independent variables to include in this model.
- Consider the following ANOVA table for a simple linear regression. Source Sum Degrees of freedom Mean Square F Regression 6789.5 1 6789.5 181.6 Error 336.5 Total 7126.0 10 What is the value of the mean square error for this regression analysis?According to the following confidence intervals based on a regression analysis, which coefficients differ from zero in a two-tailed test at α = .05? 2.5 % 97.5 % (Intercept) -36.198470 228.22667 LotSize 9.244509 20.86968 Baths 43.981264 113.47117 Intercept, LotSize, Baths LotSize, Baths LotSize BathsA sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 4. tenacity and voice (pvalue = 0.001); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept Ha
- Use the following information from a multiple regression analysis to complete parts (a) through (c) below. n=25 b1=5 b2=15 Sb1=2 Sb2=4 b. Construct a 95% confidence interval estimate of the population slope, β1. __________≤β1≤_____________ (Round to four decimal places as needed.)A sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and age (pvalue = 0.043) Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept HaA sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and voice (pvalue = 0.001); 2. tenacity and clothing (pvalue = 0.017); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept Ha
- A sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 5. tenacity and clothing (value = 0.017); SOrs Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept HaA sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 2. tenacity and gender (pvalue = 0.102); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept HaA sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and age (pvalue = 0.043); 2. tenacity and gender (pvalue = 0.102); 3. tenacity and SES (pvalue = 0.40); 4. tenacity and voice (pvalue = 0.001); 5. tenacity and clothing (value = 0.017); SOrs Using the pvalue, provide your DECISION, whether:Accept Ho or Reject Ho, Accept Ha