(c) Does the data collected indicate that the monthly sales of a store can be expressed as a linear function the percentage of high school graduates in its customer base? Select the correct...

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Extracted text: (c) Does the data collected indicate that the monthly sales of a store can be expressed as a linear function the percentage of high school graduates in its customer base? Select the correct statisticaly hypotheses. А. Но : В1 В. Но : В — о На : В >0 C. Ho : B1 20 HẠ : B1 > 0 D. Ho : B1 = 0 HẠ : B1 + 0 E. Ho : B1 2 0 HẠ: B1 < 0="" f.="" ho="" :="" b1=""> 0 HẠ : B1 0 HA : B1 < 0="" (d)="" using="" the="" f-test,="" test="" the="" statistical="" hypotheses="" determined="" in="" (c).="" find="" the="" value="" of="" the="" test="" statistic,="" using="" two="" decimals="" in="" your="" answer.="" feale="" %3d="" (e)="" testing="" the="" statistical="" hypotheses="" in="" (c)="" at="" a="0.05," you="" can="" conclude="" from="" this="" data="" that="" the="" v="" be="" expressed="" as="" a="" linear="" function="" of="" the="" (f)="" can="" you="" infer="" from="" this="" data="" that="" an="" increase="" of="" 1%="" to="" the="" percentage="" of="" high="" school="" graduates="" in="" the="" customer="" based="" will="" lead="" to="" an="" mean/average="" increase="" in="" the="" store's="" monthly="" sales="" by="" more="" than="" $50,000?="" (i)="" find="" the="" value="" of="" the="" test="" statistic,="" use="" two="" decimal="" places="" in="" your="" answer.="" tcalc="" ...="" (ii)="" find="" the="" p-value="" of="" the="" result,="" using="" three="" decimals.="" p-value="(g)" a="" store="" located="" at="" a="" local="" mall="" has="" recently="" discovered="" that="" 90%="" of="" its="" customer="" base="" has="" a="" high="" school="" diploma.="" with="" 95%="" confidence,="" estimate="" this="" store's="" monthly="" sales="" for="" the="" current="" month.="" 38="" 38="" note:="" you="" will="" need="" e,="" percent="" hsgrads;="2935.17" and="" e,="" percent="" h="" sgrads="228777" i="1" i="1" lower="" bound="$1000s" (use="" one="" decimal="" in="" your="" answer)="" upper="" bound="$1000s" (use="" one="" decimal="" in="" your="" answer)="" (h)="" a="" residual="" plot="" of="" the="" regression="" was="" consulted.="" residual="" plot="" (response="" is="" sales="" in="" $1000s)="" 2000="" 1500="" 1000="" -="" 500="" -="" -500="" -="" -1000="" -1500="" 500="" 1000="" 1500="" 2000="" 2500="" fitted="" value="" o="" o="">


Extracted text: A national sporting good store wishes to use demographic information to predict its monthly sales, in $1000s. Thrity-eight, n = 38, stores of the chain are randomly chosen across the country. It is known that each store is approximately the same size and carries the same merchandise. The geographic area from which a store draws its customers is known as the customer base. One of the variables is the percentage of the customer base who have graduated from high school. MonthlySales; = Bo + Bị Percent H SGrads; + e; where MonthlySales; - is the total sales in month i, in $1000s Percent H SGrads; - is percentage of all customers in store i customer base that have graduated from high school A least-squares regression was ran in R producing the following output: Scatter Plot: Sales to High School Graduates 4000 - 3500 3000 - 2500 - 2000 1500- 1000 - 500 - 0- 50 55 60 65 70 75 80 85 90 95 Percentage of Customer Base with a HS Diploma Regression Analysis: MonthlySales versus PercentHSGrads Predictor Coef SD Coef TP Constant |-2970 1371 PercentHSGrads 59.66 17.67 S = 802.004 R-Sq = %3D Analysis of Variance Source DF S MS FP Regression 7333350 Residual Error 23155564 Total 37 Using the partial R output, answer the questions below. (a) Estimate the model. Use two-decimals your estimation of the slope term, no decimals in the estimation of the y-intercept. MonthlySales; : Percent H SGrads; + (b) What percentage of the variation in a store's monthly sales cannot be explained by its linear dependency on the percentage of the customer base that are high school graduates? Enter your answer as a percentage, using two decimal places. % Sales in $1000s