Coefficients Standard Error Intercept X Variable 1 53.49401977 49.11028886 0.329742074 0.079319263 O y = 0.33x + 53.5 O y = 53.5x + 0.33 O y = 0.08x + 49.1 O y = 49.1x + 0.08
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- The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T² - (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-")T®h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were: y=ax+b a=-0.828 b=34.781 r2=0.751689 r=-0.867 Use this to predict the number of situps a person who watches 7 hours of TV can do (to one decimal place) __?__Find the mean value of y = x Between x =1 and x = 2
- A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 721 = 575 n2 = 740 Number making claims = 115 Number making claims = 111 a. Use α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We can conclude (to 2 decimals) X (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.P( z>1.31) =For each variable, determine whether it is best thought of as discrete or continuous. Variable Discrete Continuous (a) The number of defective compact discs in a batch of 500 discs (b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana (c) The body temperature measurement of a participant in a lie-detector test (d) The number of students, in a class of 35, who improve their score from the first midterm to the second midterm
- Myocardial blood flow (ml/min/g) was measured for a group of cyclists under normal oxygen levels after 5 minutes of bicycle exercise. The following is some R code and output using the "t.test" function. > t.test (normoxia, mu=3, alternative="less") One Sample t-test data: normoxia t = -2.5751, df = 9, p-value = 0.01497 alternative hypothesis: true mean is less than 3 95 percent confidence interval: -Inf 2.85968 sample estimates: mean of x 2.513 At the 0.05 significance level, identify the correct interpretation for the conclusion in the context of the setting for the hypothesis test done in the t.test output above (step 6 of a hypothesis test). O a. There is significant evidence to conclude Myocardial blood flow tends to be greater than 3 for cyclists after 5 minutes of bicycle exercise. Ob. There is significant evidence to conclude Myocardial blood flow tends to be less than 3 for cyclists after 5 minutes of bicycle exercise. Oc. There is significant evidence to conclude Myocardial…A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )Twelve workers at a production line were asked to take a special three-day intensive course to improve their productivity. At the beginning and again at the end of the course, they were given a particular task to see the improvement in their productivity. Based on the data recorded for the two variables Number of years of experience X and Improvement (number of units per minute) Y, the following sums were calculated. xi = 96, yi = 132, xi2 = 892, yi2 =1510, xiyi= 1110 Consider estimating a simple linear regression model of the form y = b1 + b2x + e Q2. Sample mean of X, X, is 96 12 8 11 Q3. Sample Variance of Y, SY2, is 5.72 11.27 5.27 4.91 Q4. Sample correlation between X and Y, Corr(X, Y), is 0.46 0.50 0.64 -0.64
- a b Absolute standard deviation = Coefficient of variation = y = 1.20 (+0.02) x 10-8-3.60(±0.2) × 10-⁹ x Result = Absolute standard deviation = Coefficient of variation = C Result = d y=90.95 (±0.08) - 89.40(±0.06) +0.200(+0.004) Absolute standard deviation == Coefficient of variation = Result = ± y= y = 0.0040 (+0.0005) x 10.28 (+0.02) × 395(+1) Result = ± Absolute standard deviation = Coefficient of variation = % 329(+0.03) x 10-14 1.47 (+0.04) x 10-16 % % H % ±Y=-2x+4The owner of a used car dealership is trying to determine if there is a relationship between the price of a used car and the number of miles it has been driven. The owner collects data for 25 cars of the same model with different mileage and determines each car's price using a used car website. The analysis is given in the computer output. Predicto Coef 24157.2 -0.181 SE Coef t-ratio Constant 2164.1 2.965 0.046 0.000 Mileage 0.024 5.377 S = 3860.7 R-Sq = 68.0% R-Sq (Adj) = 69.5% Using the computer output, what is the value of the coefficient of determination? 0.46 0.68 0.70 0.82