1) As a measure of?productivity, a cell phone company records thenumber of customers each of its retail employees activates weekly. Activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their?job-satisfaction levels rated on a scale of?1-10 ?(10=Most ?satisfied). Complete parts a through f.ActivationsSatisfaction37 8.026 7.941 8.536 9.017 6.128 7.033 8.224 7.7b. Calculate the slope and?y-intercept for the regression formula.The slope is — and the?y-intercept is —–.?(Type integers or decimals rounded to three decimal places as?needed.)c. Provide an interpretation for the value of the slope.The slope indicates an increase of one in satisfaction corresponds to an increase of—– in the average number of activations.?(Type an integer or decimal rounded to three decimal places as?needed.)d. Predict the number of activations for an employee with a satisfaction level of 7.2.The predicted number of activations is—–.?(Round to the nearest whole number as?needed.)e. Calculate the SST.SST=——?(Type an integer or decimal rounded to two decimal places as?needed.)f. Partition the SST into the SSR and the SSE.SSR=—– and SSE=—–?(Type integers or decimals rounded to two decimal places as?needed.)2) As a measure of?productivity, a cell phone company records the number of customers each of its retail employees activates weekly. An activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their?job-satisfaction levels rated on a scale of?1-10 ?(10=Most ?satisfied). Complete parts a through c.Satisfaction36 8.023 7.938 8.540 9.021 6.129 7.033 8.226 7.7a. Calculate the correlation coefficient for this sample.The correlation coefficient is—-.?(Type an integer or decimal rounded to three decimal places as?needed.)b. Using a=0.10?, test to determine if the population correlation coefficient is not equal to zero.The hypotheses for this test are Upper H 0 :———-.The test statistic is——.?(Type an integer or decimal rounded to two decimal places as?needed.)The?p-value is —–.?(Type an integer or decimal rounded to three decimal places as?needed.)?Therefore, at the 0.10 level of?significance,—–the null hypothesis. There —– sufficient evidence to conclude that the population correlation coefficient —— from zero.c. What conclusions can be made based on these?results?Is there a linear relationship between satisfaction and activation. 3) As a measure of?productivity, a cell phone company records the number of customers each of its retail employees activates weekly. Activation is defined as either a new customer signing a cell phone contract or an existing customer renewing a contract. The accompanying table shows the number of weekly activations for eight randomly selected employees along with their?job-satisfaction levels rated on a scale of?1-10 ?(10=Most ?satisfied). Complete parts a through d.ActivationsSatisfaction36 8.026 7.938 8.539 9.021 6.129 7.034 8.226 7.7a. Calculate the correlation coefficient for this sample.The correlation coefficient is—-.?(Type an integer or decimal rounded to three decimal places as?needed.)b. Using a=0.10?, test to determine if the population correlation coefficient is not equal to zero.The hypotheses for this test are Upper H 0 :———-.The test statistic is——.?(Type an integer or decimal rounded to two decimal places as?needed.)The?p-value is —–.?(Type an integer or decimal rounded to three decimal places as?needed.)?Therefore, at the 0.10 level of?significance,—–the null hypothesis. There —– sufficient evidence to conclude that the population correlation coefficient —— from zero. c. Construct a 98?% confidence interval for the average number of activations made by an employee with a?job-satisfaction score of 8.0.The confidence interval is ?(—-,—–).?(Type integers or decimals rounded to one decimal place as?needed.)d. Construct a 98?% prediction interval for the number of activations made by an employee with a?job-satisfaction score of 8.0.The prediction interval is ?(—–,——)?(Type integers or decimals rounded to one decimal place as?needed.)Math Linear Algebra COMPUTER SCIENCE 123
